实验班考试题(2019)
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2019年上学期高一年级理科实验班期末考试理综试题(附答案)第I卷选择题(每题6分,共126分)本卷共21题,每题6分。
其中物理部分为不定项选择题,全部选对得6分,部分选对得3分,错选,多选不得分。
化学部分和生物部分后面所给的四个选项中,只有一个是正确的。
1.下列说法中正确的是A. 体积、质量都极小的物体都能看成质点B. 当研究一列火车全部通过桥所需的时间时,可以把火车视为质点C. 研究自行车的运动时,因为车轮在转动,所以无论研究哪方面,自行车都不能视为质点D. 如果物体的大小和形状对所研究的问题属于无关或次要因素,就可以把物体看做质点2.一辆汽车从车站开出,做匀加速直线运动,它开出一段时间后,司机发现有一位乘客未上车,急忙制动,车又做匀减速直线运动,结果汽车从开始启动到停下,共用10 s,前进了30 m,则在此过程中,汽车达到的最大速度是A. 1 m/sB. 1.5 m/sC. 3 m/sD. 6m/s3.如图是在同一条直线上运动的A、B两质点的x﹣t图象,由图可知A. 在0~t2时间内,A、B的位移相同,t2时刻A、B相遇B. B在t2时刻追上A并在此后跑在A的前面C. 在0~t2时间内,A、B的平均速度相等D. B开始运动时速度比A小,t2秒后才开始大于A的速度4.汽车在平直路面以10m/s的速度匀速驶向十字路口,当行驶至距路口停车线20m处时,绿灯还有3s熄灭,若从此刻开始计时,该汽车在绿灯熄灭时刚好停在停车线处,则汽车运动的v-t图像可能是下图中的A. B.C. D.5.如图所示,竖直杆OB顶端有光滑轻质滑轮,轻质杆OA自重不计,可绕O点自由转动,OA=OB.当绳缓慢放下,使∠AOB由0°逐渐增大到180°的过程中(不包括0°和180°)下列说法正确的是A. 绳上的拉力先逐渐增大后逐渐减小B. 杆上的压力先逐渐减小后逐渐增大C. 绳上的拉力越来越大,但不超过2GD. 杆上的压力大小始终等于G6.斜面上有m1和m2两个物体,与斜面间的动摩擦因数分别为μ1和μ2.两物体间用一根轻质弹簧连接,恰好能一起沿斜面匀速下滑.如图所示.则以下说法正确的是A. 若弹簧的长度大于原长,则μ1<μ2B. 若弹簧的长度小于原长,则μ1<μ2C. 若弹簧的长度大于原长,则μ1>μ2D. 若弹簧的长度等于原长,则μ1>μ27.如图所示,A是一质量为M的盒子,B的质量为m,A、B用细绳相连,跨过光滑的定滑轮置于倾角为θ的斜面上,B悬于斜面之外而处于静止状态,斜面放置在水平地面上.现在向A中缓慢加入沙子,整个系统始终保持静止,则在加入沙子的过程中A. A对斜面的压力逐渐增大B. 绳子拉力逐渐增大C. 地面对斜面的摩擦力始终为零D. A所受的摩擦力逐渐增大8.如图所示,光滑的半球形物体固定在水平地面上,球心正上方有一光滑的小滑轮,轻绳的一端系一小球,靠在半球上的A点,另一端绕过定滑轮后用力拉住,使小球静止.现缓慢地拉绳,在使小球沿球面由A移动到半球的顶点B的过程中,半球对小球的支持力N和绳对小球的拉力T的变化情况是A. N变大B. N不变C. T变小D. T变小后变大9.用NA表示阿伏加德罗常数的值。
第二批次自主招生(实验班)考试数学学科试卷考试时间:90分钟 满分100分一、选择题(本大题共10小题,每小题3分,共30分。
每小题只有一个正确答案)1.21)2(--m m 化简后的结果为( ) A.2-m B.m -2 C.m --2 D.2--m2.式子||||||||abc abc c c b b a a +++的所有可能值的个数为( ) A. 2个 B. 3个 C. 4个 D. 无数个3.某班开展课外选修课活动,班级的50名学生可在音乐、美术、体育三门选修课中选择,每位学生至少选择一门,选择音乐的有21人,选择美术的有28人,选择体育的有16人,既选择音乐又选择美术的有7人,既选择美术又选择体育的有6人,既选择体育又选择音乐的有5人,则三项都参加的人数为( )A. 2B. 3C. 4D. 54.已知二次函数622--=x x y ,当4≤≤x m 时,函数的最大值为2,最小值为7-,则满足条件的m 的取值范围是( )A.1≤mB.12<<-mC.12≤<-mD.12≤≤-m 5.适合13≤--yx yx ,且满足方程13=+y x 的x 的取值范围是( ) A.410<≤x B.4121<≤-x C.410≤≤x D.4121≤≤-x 6.已知B A 、两点在一次函数x y =的图象上,过B A 、两点分别作y 轴的平行线交双曲线)0(2>=x xy 于N M 、两点,O 为坐标原点。
若AM BN 3=,则229ON OM -的值为( )A. 8B. 16C. 32D. 36 7.在N M BAC ABC Rt 、,中,︒=∠∆90是BC 边上的点,MN CN BM 21==,如果8=AM ,6=AN ,则MN 的长为( )A.104B.102C.1023D.10 8.将正奇数按如图所示的规律排列下去,若有序实数对),(m n 表示第n 排,从左到右第m 个数,如)2,4(表示奇数15,则表示奇数2017的有序实数对是( )A.)19,44(B.)26,45(C.)19,45(D.)27,45(9.如图,在矩形ABCD 中,过点B 作AC BF ⊥,垂足为F ,设n CF m AF ==,,若CD CF 2=,则mn的值为( ) A.222+ B.123+ C.132+ D.152- 10.已知正整数b a 、满足5350≤+≤b a ,8.079.0<<ba,则a b -等于( ) A. 4 B. 5 C. 6 D. 7二、填空题(本大题4小题,每小题3分,共12分)11.函数3172--+--=x x x y 的最大值为 .12.如图,在平行四边形ABCD 中,4===BD BC AB ,N M 、分别是CD AD 、上的动点(含端点),︒=∠60MBN ,则线段MN 的长的取值范围是 .13.毕业季将至,宿舍的四位同学每人写了一张明信片放进纸盒,准备毕业时每个人随机抽取一张,则每个人都拿到的是别人的明信片的概率是 .14.如图,直线AB 和AC 与圆O 分别相切于C B 、两点,P 为圆上一点,且点P 到BC AB 、的距离分别为6和4,则点P 到AC 的距离为 .第一排 第二排 第三排 第四排7 (13)15 178 193 51 911三、解答题(本大题5小题,共58分)15.(10分)(1)计算:︒+++-+-30cos 2323|323|)3(0π(2)因式分解:65223+--x x x16.(10分)(1)已知有理数b a ,满足2234102)2(+-=-+b a ,求b a ,的值; (2)解方程2989=---x xx x17.(12分)已知21,x x 是一元二次方程0122=++-k kx kx 的两个实数根; (1)若k x x x x 8)2)(2(2121-=--成立,求实数k 的值; (2)是否存在整数k ,使2112x x x x +的值为整数?若存在,求出k 的值;若不存在,请说明理由。
民乐一中2019年创新实验班招生考试数学试题一、选择题(本大题共12个小题,每小题4分,共48分,每小题只有一个正确选项)1. 列运算正确的是()A.235+=B .(a2)3=a 5C .326-=-D.242155a aa÷=2.小明在镜中看到身后墙上的时钟,实际时间最接近8时的是下图中的()3.下列函数:①y x=-;②2y x=;③1yx=-;④2y x=.当0x<时,y随x的增大而减小的函数有()A.1 个B.2 个C.3 个D.4 个4.一个正方体的表面展开图可以是下列图形中的()5.小亮家1月至10月的用电量统计如图所示,这组数据的众数和中位数分别是( )A. 30和 20B. 30和25C. 30和22.5D. 30和17.56.用一个半径为30,圆心角为120︒的扇形围成一个圆锥,则这个圆锥的底面半径是()A.10 B.20 C.10π D.20πA.B.C.D.A.B.C.D.7.不等式组2131532123(1)152(1)x x x x x -+⎧-≤-⎪⎨⎪-+>--⎩的解集为( ) A .102x -<< B .102x -<≤C .102x -≤≤ D . 102x -≤< 8.如图,ABCD 中,对角线AC 和BD 相交于点O ,如果AC =12、BD =10、AB =m ,那么m 的取值范围是( ) A .10<m <12 B .2<m <22 C .1<m <11 D .5<m <69.欣欣服装店某天用相同的价格(0)a a >卖出了两件服装,其中一件盈利20%,另一件亏损20%,那么该服装店卖出这两件服装的盈利情况是( )A .盈利B .亏损C .不盈不亏D .与售价a 有关10.下列运算不正确的是( )A .1(1)(1)xy x y x y +--=-+B .22221()2x y z xy yz zx x y z +++++=++ C .2233()()x y x xy y x y +-+=+ D .33223()33x y x x y xy y -=-+-11.如图,一个长方体铁块放置在圆柱形水槽容器内,向容器内按一定的速度均匀注水,60秒后将容器内注满.容器内水面的高度(cm)h 与注水时间(s)t 之间的函数关系图象大致是( )A.B. C.D.DABCO12.如图,PA 、PB 切圆O 于A 、B 两点, CD 切圆O 于点E ,交PA 、PB 于C 、D ,若圆O 的半径为r ,PCD ∆的周长等于3r ,则tan APB ∠的值是( )A.125 B. 51312 C. 3135 D. 2133二、填空题(本大题共8个小题,每小题4分,共32分)13.若1m +与-2互为相反数,则m 的值为______.14.生物学家发现一种病毒的长度约为0.00054mm ,用科学计数法表示0.00054的结果为 . 15.计算0327sin30π823+︒-+-=+ .16.已知:23a b =,则22a b a b -+的值是 .17.将两块直角三角尺的直角顶点重合为如图的位置,若∠AOD =11O °,则∠COB =17题 18题 19题18.如图,等边三角形ABC 的边长为2,以A 为圆心,1为半径作圆分别交,AB AC 边于,D E ,再以点C 为圆心,CD 长为半径作圆交BC 边于F ,连接,E F ,那么图中阴影部分的面积为 .19.一艘货轮以182km /h 的速度在海面上沿正东方向航行,当行驶至A 处时,发现它的东南方向有一灯塔B ,货轮继续向东航行30分钟后到达C 处,发现灯塔B 在它的南偏东15︒方向,则此时货轮与灯塔B 的距离是 km .20.数轴上O ,A 两点的距离为4,一动点P 从点A 出发,按以下规律跳动:第1次跳动AO 的中点1A 处,第2次从1A 点跳动到1A O 的中点2A 处,第3次从2A 点跳动到2A O 的中点3A 处,按照这样的规律继续跳动到点456A A A ,,,…,n A .(3n ≥,n 是整数)处,那么线段A n A 的长度为 (3n ≥,n 是整数).三、解答题(本大题共5个小题,每小题8分,共40分)21. 先化简,再求值:22222243()33a b a b a aa b a b a b b+-⋅-÷-+-,其中3,2a b ==.22. 高尔基说:“书,是人类进步的阶梯.”阅读可以丰富知识、拓展视野、充实生活等诸多益处.为了解学生的课外阅读情况,某校随机抽查了部分学生阅读课外书册数的情况,并绘制出如下统计图.其中条形统计图因为破损丢失了阅读5册书数的数据.(1)求条形图中丢失的数据,并写出阅读书册数的众数和中位数;(2)根据随机抽查的这个结果,请估计该校1200名学生中课外阅读5册书的学生人数;(3)若学校又补查了部分同学的课外阅读情况,得知这部分同学中课外阅读最少的是6册,将补查的情况与之前的数据合并后发现中位数并没有改变,试求最多补查了多少人?3.954.25 A 4.85 B5.45 视力频率组距CD23.某公司开发出一种新产品,前期投入的开发、广告宣传费用共5000元,且每售出一套产品,公司还需支付产品安装调试费用20元.(1)试写出总费用y (元)与销售套数x (套)之间的函数关系式; (2)如果每套定价70元,公司至少要售出多少套产品才能确保不亏本?24.如图,在平面直角坐标系xOy 中,一次函数152y x =+和2y x =-的图象相交于点A ,反比例函数ky x=的图象经过点A . (1)求反比例函数的表达式; (2)设一次函数152y x =+的图象与反比例函数ky x=的图象的另一个交点为B ,连接OB ,求ABO △的面积.25.如图,边长为4的正方形OABC 的顶点O 为坐标原点,点A 在x 轴的正半轴上,点C 在y 轴的正半轴上.动点D 在线段BC 上移动(不与B ,C 重合),连接OD ,过点D 作DE ⊥OD ,交边AB 于点E ,连接OE .(1)当CD =1时,求点E 的坐标;(2)如果设CD =t ,梯形COEB 的面积为S ,那么是否存在S 的最大值?若存在,请求出这个最大值及此时t 的值;若不存在,请说明理由.四、解答题(本大题共3个小题,每小题10分,共30分)26.如图,直线l 的解析式为443y x =+与x 轴,y 轴分别交于点AB ,. (1)求原点O 到直线l 的距离;(2)有一个半径为1圆C 的从坐标原点出发,以每秒1个单位长的速度沿y 轴正方向运动,设运动时间为t (秒).当圆C 与直线l 相切时,求t 的值.27. 已知抛物线2y ax bx c =++顶点(2,1)-,经过点(0,3),且与直线1y x =-交于,A B 两点. (1)求抛物线的解析式;(2)若在抛物线上恰好存在三点,,Q M N ,满足QAB MAB NAB S S S S ===△△△,求S 的值; (3)在,A B 之间的抛物线弧上是否存在点P 满足90APB ∠=︒?若存在,求点P 的横坐标,若不存在,请说明理由.(坐标平面内两点1122(,),(,)M x y N x y 之间的距离221212()()MN x x y y =-+-)BO C A lxy28.空间任意选定一点O ,以点O 为端点,作三条互相垂直的射线ox oy oz 、、.这三条互相垂直的射线分别称作x 轴、y 轴、z 轴,统称为坐标轴,它们的方向分别为ox (水平向前)、oy (水平向右)、oz (竖直向上)方向,这样的坐标系称为空间直角坐标系.将相邻三个面的面积记为123S S S 、、,且123S S S <<的小长方体称为单位长方体,现将若干个单位长方体在空间直角坐标系内进行码放,要求码放时将单位长方体1S 所在的面与x 轴垂直,2S 所在的面与y 轴垂直,3S 所在的面与z 轴垂直,如图1所示.若将x 轴方向表示的量称为几何体码放的排数,y 轴方向表示的量称为几何体码放的列数,z 轴方向表示的量称为几何体码放的层数;如图2是由若干个单位长方体在空间直角坐标内码放的一个几何体,其中这个几何体共码放了1排2列6层,用有序数组记作(1,2,6),如图3的几何体码放了2排3列4层,用有序数组记作(2,3,4).这样我们就可用每一个有序数组(,,)x y z 表示一种几何体的码放方式.(1)(2分)如图是由若干个单位长方体码放的一个几何体的三视图,则这种码放方式的有序数组为 ,组成这个几何体的单位长方体的个数为 个;(2)(2分)对有序数组性质的理解,下列说法正确的是 ;(只填序号) ①每一个有序数组(,,)x y z 表示一种几何体的码放方式.②有序数组中x y z 、、的乘积就表示几何体中单位长方体的个数. ③有序数组不同,所表示几何体的单位长方体个数不同. ④不同的有序数组所表示的几何体的体积不同.⑤有序数组中x y z 、、每两个乘积的2倍可分别确定几何体表面上123S S S 、、的个数. (3)(2分)为了进一步探究有序数组(,,)x y z 的几何体的表面积公式,,x y z S (),某同学针对若干个单位长方体进行码放,制作了下列表格:根据以上规律,请写出有序数组(,,)x y z 的几何体表面积计算公式,,x y z S (); (用x y z 、、、123S S S 、、表示)(4)(4分)当123234S S S ===,,时,对由12个单位长方体码放的几何体进行打包,为了节约外包装材料,对12个单位长方体码放的几何体表面积最小的规律进行探究,根据探究的结果请写出使几何体表面积最小的有序数组,并用几何体表面积公式求出这个最小面积.(缝隙不计)。
厦门大学附属科技中学2019年创新实验班招生考试英语试卷考试时间:90分钟 满分:100分区(县): 学校: 姓名: 准考证号:注意事项:本试卷一至三大题(1-54题)为选择题,请考生将答案用2B铅笔填涂在答题卡上; 四至六大题为非选择题,请考生将答案用0.5毫米的黑色签字笔书写在答题卷上。
一、单项填空(共15小题;每小题1分,满分15分)1. — What can I do for you, sir?— I want ______ iPhone 6s plus for my wife as _____ useful gift.A.an; aB. a; anC. an; theD. a; a2. —Which of those electronic dictionaries do you like most?—_______. They are both expensive and of little use.A. AllB. NeitherC. NoneD. Both3. Many people are willing to take _________ by trying new things.A. riddlesB. risksC. rolesD. rules4. Lots of students have paid a visit ________the library was set up in our school.A. afterB. beforeC. whenD. since5. —I can know from your pronunciation that you come from the south.—____________. I am from Xiamen.A. HardlyB. ExactlyC. NaturallyD. Truly6. Eating dumplings at the Spring Festival is ________ in China.A. nationalB. traditionalC. personalD. normal7. About two thirds of the water already.A. have been pollutedB. have pollutedC. has been pollutedD. had been polluted8. James is moving the old boxes away because they__________ too much room.A. put upB. pick upC. take upD. stay up9. _______drive all the way every day, he prefers ________ to his office.A. Rather than, cycleB. Other than, cycleC. Other than, to cycleD. Rather than, to cycle10. My grandparents are still living in that old village _______ local government hasdecided to keep.A. whichB. whereC. whatD. when11. I don’t know if Jack __________. If he __________, please call me.A. comes, comeB. will come, will comeC. will come, comesD. comes, will come12. He asked me _____ during the summer holidays.A. where I had beenB. where I had goneC. where had I beenD. where had I gone13. She spent as much time as she could _______ over her lessons.A. goB. goesC. wentD. going14. —Would you like me to help you?—___________________A. It doesn’t matter.B. Yes, I can do it myself.C. Not at all.D. Thanks, I can manage it myself.15. —Is your sleeping problem getting better?—No. And _______. They gave me the wrong medicine this time. Can you believe that?A. one coin has two sidesB. it never rains but it poursC. the early bird catches the wormD. a good miss is as good as a mile二、完形填空(15小题;每小题1分,满分15分)Learning to AcceptI learned how to accept life as it is from my father. However, he did not teach me acceptance when he was strong and healthy, but rather when he was 16 and ill.My father was once a strong man who loved being active, but a terrible illness 17 all that away. Now he can no longer walk, and he must sit quietly in a chair all day. Even talking is 18 . One night, I went to visit him with my sisters. We started 19 about life, and I told them about one of my beliefs. I said that we must very often give up things 20 we grow—our youth, our beauty, our friends—but it always seems that after we give something up, we gain something new in its place. Then suddenly my father 21 up. He said, “But, Peter, I gave up 22 ! What did I gain?” I thought and thought, but I could not think of anything to say.23 , he answered his own question, “I 24 the love of my family.” I looked at my sisters and saw tears in their eyes, along with hope and thankfulness.I was also25 by his words. After that, when I began to feel angry with someone, I would remember his words and become26 . If he could replace his great pain with a feeling of love for others, then I should be 27 to give up my small anger. In this 28 , I learned the power of acceptance from my father.Sometimes I 29 what other things I could have learned from him if I had listened more carefully when I was a boy. For now, though, I am grateful for this 30 .16. A. tired B. weak C. poor D. slow17. A. took B. threw C. sent D. put18. A. impossible B. difficult C. stressful D. hopeless19. A. worrying B. caring C. talking D. asking20. A. as B. since C. before D. till21. A. spoke B. turned C. summed D. opened22. A. something B. anything C. nothing D. everything23. A. Surprisingly B. Immediately C. Naturally D. Certainly24. A. had B. accepted C. gained D. enjoyed25. A. touched B. surprised C. attracted D. warned26. A. quiet B. calm C. relaxed D. happy27. A. ready B. likely C. free D. able28. A. case B. form C. way D. method29. A. doubt B. wonder C. know D. guess30. A. award B. gift C. lesson D. prize三、阅读理解(31-49题;每小题2分,50-54题,每小题1分,满分43分)第一节阅读下列短文,从所给的四个选项(A、B、C和D)中,选出最佳选项。
杭州市第二中学高一新生实验班选拔考试化学部分考生须知:1.本科目试卷分试题卷和答题卷两部分。
满分100分,考试时间60分钟。
2.答题前,必须在答题卷的密封区内填写姓名和考号。
3.所有答案都必须做在答题卡标定的位置上,务必注意试题序号和答题序号相对应。
一、选择题(每小题有一个或者两个正确答案。
错选不得分,漏选得1分,每小题3分,共60分。
选择题答案必须填入答题卡中)1.下列说法正确的是A.等体积、等物质的量浓度的强酸中所含的H+数一定相等B.同物质的量浓度同体积的任何溶液中所含溶质微粒数目相同C.标准状况下,N A个H2O分子所占的体积约为22.4LD.无论什么状况下,一定质量的某种气体含有的分子数是一定的2.下列说法正确的是A.醋酸溶液的导电能力一定不如盐酸强 B.硫酸溶液在通直流电条件下发生电离C.铁是单质,它不是电解质,属非电解质D.碳酸氢铵溶液既可与盐酸反应又能与氢氧化钠溶液反应3.已知反应 Cu+HCl+O2=CuCl+HO2,HO2(超氧酸)不仅是一种弱酸而且也是一种自由基,具有极高的活性。
下列说法或表示正确的是A.氧化产物是HO2 B.HO2在碱中能稳定存在C.氧化剂是O2 D.1 mol Cu参加反应有2 mol电子发生转移4.某同学从一种未知的无色溶液中检验出含有Ba2+和Ag+,同时测得溶液的pH=1,他还准备继续检验溶液中是否还含有下列离子:Cl-、S2-、CO32-、SO42-、Cu2+、NO3-、K+、Al3+、NH4+、PO43-,你认为其中不必检验的离子有A.4种B.5种C.6种D.7种5.有FeSO4、CuSO4混合液300mL,其中SO42-浓度为0.1mol·L-1,投入一些锌粉,反应后得到一些固体沉淀,经测定沉淀为Cu、Fe,不含Zn,溶液中还有0.01mol Fe2+。
据此,可知投放的锌粉质量是A.1.3g B.2.6g C.3.9g D.6.5g6.某溶液中含有Cl-、SO42-、Fe3+、K+、M,且离子物质的量之比为2∶3∶1∶3∶1,则微粒M可能为:A.Na+B.Mg2+C.Al3+D.Ba2+ 7.下列离子方程式书写正确的是A.向Ba(OH)2溶液中逐滴加入NH4HSO4溶液至刚好沉淀完全:Ba2+ + OH- + H+ + SO42- == BaSO4↓+ H2OB.将过量的NaOH溶液滴入同浓度的少量Ca(HCO3)2溶液Ca2++ 2HCO3—+2OH—====CaCO3↓+ 2H2O + CO32—C.醋酸钡溶液和硫酸反应:Ba2++SO42-== BaSO4↓D.向酸性FeSO4溶液中加H2O2溶液: 2Fe2+ + 2H2O2 + 4H+ ==2Fe3+ + 4H2O8.下列叙述正确的是A.某可溶物的摩尔质量大于18g/mol,则该物质饱和溶液的密度一定大于1g/cm3B.氯化钠饱和溶液的质量分数为a%,该温度下氯化钠的溶解度为Sg,则a一定小于S C.将质量分数分别为90%与10%的H2SO4等体积混合,其质量分数一定等于50%D.饱和KCl溶液密度为ρg/cm3,物质的量浓度为 c mol/L,则KCl的质量分数为(74.5c/1000ρ)×100%9.若以ω1和ω2分别表示浓度为a mol·L-1和b mol·L-1乙醇溶液的质量分数,且知2ω1=ω2,则下列推断正确的是(乙醇的密度比纯水的小,且乙醇浓度越大密度越小):A .a<b<2aB .2b=aC .b>2aD .2a=b10.在常温下,发生下列几种反应:①16H++10Z-+2XO-4=2X2++5Z2+8H2O ②2A2++B2=2A3++2B-③2B-+Z2=B2+2Z-根据上述反应,判断下列结论中错误的是A.溶液中可发生:Z2+2A2+=2A3++2Z-B.Z2在①、③反应中为还原剂C.氧化性强弱的顺序为:XO-4>Z2>B2>A3+D.X2+是XO-4的还原产物11.从矿物学资料查得,一定条件下自然界存在如下反应:14CuSO4+5FeS2+12H2O====7Cu2S+5FeSO4+12H2SO4.(已知FeS2中S为-1价)下列说法正确的是A.Cu2S既是氧化产物又是还原产物B.5molFeS2发生反应,有10mol电子转移C.产物中的SO42-离子有一部分是氧化产物D.FeS2只作还原剂12.下列离子方程式中,正确的是A.向氯化亚铁溶液中通入氯气Fe2++Cl2Fe3++2Cl-B.三氯化铁溶液跟过量氨水反应Fe3++3NH3·H2O Fe(OH)3↓+3NH+4 C.碳酸氢钙溶液跟稀硝酸反应Ca(HCO3)2+2H+Ca2++2H2O+2CO2↑D.氯气通入冷的氢氧化钠溶液中2Cl2+2OH-3Cl-+ClO-+H2O13.下列微粒①Al3+②Cl-③N2④MnO4-⑤CO2⑥H2O2⑦Fe2+⑧MnO42- 既具有氧化性又具有还原性的是A.①④⑤⑦B.③⑥⑦⑧C.④⑤⑥⑧D.①②③⑥14.向Ba(OH)2溶液中逐滴滴入稀H2SO4至过量,则溶液的导电能力,下列叙述正确的是A.开始时,导电能力肯定最强 B.当沉淀为最大值时,导电性最弱C.先变强,后变弱 D.逐渐变弱15.已知某溶液的①体积②密度③溶质和溶剂的质量比④溶质的摩尔质量。
厦门大学附属科技中学2019年厦大创新实验班招生考试数学试卷考试时间:90分钟 满分:100分学校: 姓名: 准考证号:注意事项:1.答题前,考生务必在试题卷、答题卡规定位置填写本人准考证号、姓名等信息.考生要认真核对答题卡上粘贴的条形码的“准考证号、姓名”与考生本人准考证号、姓名是否一致.2.选择题每小题选出答案后,用2B铅笔把答题卡上对应题目的答案标号涂黑,如需改动,用橡皮擦干净后,再选涂其他答案标号.非选择题答案用0.5毫米黑色墨水签字笔在答题卡上相应位置书写作答,在试题卷上答题无效.3.作图可先使用2B铅笔画出,确定后必须用0.5毫米黑色墨水签字笔描黑.4.考试结束,考生必须将试题卷和答题卡一并交回.一、选择题(本大题共10小题,每小题4分,共40 分.每小题都有四个选项,其中有且只有一个选项是正确的,不选,错选或多选均不得分).1.科技中学揽月楼考场有A,B,C三个入口,小林与小周随机从一个入口进入考场,则小林与小周恰好从同一入口进入考场的概率是()A.19B.16C.13D.122.过原点的直线l与反比例函数y=k x的图象交于点A(﹣2,a),B(b,﹣3),则k的值为()A.﹣6 B.﹣5 C.﹣3 D.﹣23.一组学生去春游,预计租车费用为120元,后来又有2个学生参加进来,租车费用不变,于是每人可少分摊3元,原来这组学生人数是()A.8人B.10人C.12人D.15人4.使用公式:12+22+32+⋯+n2=16n(n+1)(2n+1),计算22+42+62+…+242的结果为()A.650 B.1300 C.2600 D.48005.已知x=2是不等式�x﹣5��ax﹣3a+2�<0的解,且x=1不是这个不等式的解,则实数a的取值范围是()A.1<a≤2 B.1≤a<2 C.1<a<2 D.a<1或a>26.若直线l1经过点(3,0),l2经过点(1,0),且l1与l2关于直线y=1对称,则l1与l2的交点坐标是()A.(1,2)B.(2,1)C.(1,32)D.(0,2)7. 若关于x 的不等式m x x ≥−42对任意01x ≤≤恒成立,则实数m 的取值范围是( )A .03≥−≤m m 或B .03≤≤−mC .3−≥m D .3−≤m8.某人沿正在匀速向下运动的自动扶梯从楼上走到楼下,用时24秒;若他站在自动扶梯上不动,从楼上到楼下用时56秒.若扶梯停止运动,他从楼上走到楼下用时( ) A .32秒B .36秒C .42秒D . 48秒9.如图,边长为1的正方形ABCD 中,点E 在CB 延长线上,连接ED 交AB 于点F ,AF =x (0.2≤x ≤0.8),EC =y .则在下面函数图象中,大致能反映y 与x 之间函数关系的是( )A .B .C .D .10.如图,⊙O 的半径为5,A ,B 是圆上两动点,且AB =6,以AB 为边作正方形ABCD (点D ,O在直线AB 两侧).若AB 边绕点O 旋转一周,则CD 边扫过的面积为( A .6π B .9πC .10πD .12π二、填空题(本大题共6小题,每小题5分,共30分).11.定义�abcd�=ad ﹣bc ,若�x +12−x 2−x x +1�=3,则x= . 12.已知关于x ,y 的二元一次方程组�3x −my =52x +ny =6的解是�x =1y =2,若a ,b 满足�3(a +b )−m (a −b )=52(a +b )+n (a −b )=6,则ab = .13.二次函数2()y ax a b x b +−−的图像如图所示,.14.如图,在等腰Rt △ABC 中,斜边BC =16cm ,AD 为BC 边上的高.动点P 从点A 出发,沿A →D 方向以1cm /s 的速度向点D 运动.设△ABP 的面积为S 1,矩形PDFE 的面积为S 2,运动时间为t 秒(0<t <8),则t = 秒时,S 1=2S 2.15.方程|2x 3x −4|x 2+4x −5=1所有实数解的和等于 . 16. 设1a=−,则a 3+5a 2+6= .第10题图第13题图第14题图CPAOB三、解答题(本大题共3小题,共30分).17.(8分)若x −2�xy −3y =0,且x >0,y >0,求代数式x−√xyy+3√xy的值.18. (10分)直线BP 与以AB 为直径的⊙O 相切于点B ,连接OP ,过点A 作AC ∥OP 交⊙O 于点C. (1)求证:PC 是⊙O 的切线; (2)若OP =52AC ,求∠CPO 的正弦值.19. (12分)直线y =12x +2分别与x 轴,y 轴交于C ,D 两点,二次函数y =﹣x 2+bx +c 的图象经过点D ,且与直线相交于点E ,且CD :DE =4 :3. (1)求二次函数表达式;(2)过点D 的直线交x 轴正半轴于点M ①当∠DMO =2∠DCO 时,求点M 的坐标;②过抛物线上一动点P(不与点D 、E 重合)作DM 的平行线交直线CD 于点Q ,若以D ,M ,P ,Q 为顶点的四边形是平行四边形,根据M 点的位置探究平行四边形的个数.(直接写出结果)第19题图第18题图草稿纸。
重点中学数学实验班招生考试试题一、选择题(本大题共10小题,每小题3分,共30分)⒈有理数a,b,c在数轴上对应的点如图所示,化简|b+a|+|a+c|+|c-b|的结果是()A.2b-2c B.2c-2b C.2b D.-2c⒉已知x2-5x-2008=0,则代数式的值是()A.2009B.2010C.2011D.20123.如果123+-=+aaaa,那么a的取值范围是()A.a≥﹣1B.a≤1C.1≥a≥0D. -1≤a≤04.一个点到圆的最小距离为4cm,最大距离为9cm,则该圆的半径是()A.2.5cm或6.5cm B.2.5cm C.6.5cm D.5cm或13cm5.在矩形ABCD中,AB=3,AD=4,P AD上的动点,PE⊥AC于E,PF⊥BD于F,则PE+PF的值为()A.2.4 B.2 C.2.5 D.16.如上右图,圆内接△ABC的外角∠ACH的平分线与圆交于D点,DP⊥AC,垂足是P,DH⊥BH,垂足是H,下列结论:①CH=CP;②AD=DB;③AP=BH;④DH为圆的切线.其中一定成立的是()A.①②④ B.①③④ C.②③④ D.①②③7.已知一次函数y=(m+1)x+(m-1)的图象经过一、二、三象限,则下列判断正确的是()A.m>-1 B.m<-1 C.m>1 D.m<18.若一个三角形的三边长均满足方程x2-6x+8=0,则此三角形的周长为()A.8 B.10或8 C.10 D.6或12或109.某农机厂四月份生产零件50万个,第二季度共生产零件182万个.设该厂五、六月份平均每月的增长率为x,那么x满足的方程是()A.50(1+x)2=182 B.50+50(1+x)+50(1+x)2=182C.50(1+2x)=182 D.50+50(1+x)+50(1+2x)2=18210.直线l1:y=k1x+b与直线l2:y=k2x在同一平面直角坐标系中的图象如图所示,则关于x的不等式k1x+b>k2x的解为()(x−2)3−(x−1)2+1x−2A .x >-1B .x <-1C .x <-2D .无法确定二、填空题(本大题共8小题,每小题4分,共32分)11. 直线y=3x+4关于直线y=x 对称的直线的函数解析式是 [来12.化简:=----+-÷-+212411222a a a a a a a 13.分解因式:x 3+3x 2-4=14.如果22332+-+-=x x y ,则2x+y =15.已知三角形的两边长分别是3和5,第三边长是方程3x 2-10x=8的根,则这个三角形的形状是 三角形.16.设x 1、x 2是方程x 2-2(k+1)x+k 2+2=0的两个实数根,且(x 1+1)(x 2+1)=8,则k 的值是17.已知a 为整数,直线y=10x-a 与两坐标轴所围成的三角形的面积为质数,则这个质数是18. 如图,AB 是 半圆O 的直径,四边形CDMN 和DEFG 都是正方形,其中C ,D ,E 在AB 上,F ,N 在半圆上.若AB=10,则正方形CDMN 的面积与正方形DEFG 的面积之和是三、解答题(19题20题每题9分,21题22题每题10分,共38分)19、已知,如图,在正方形ABCD 中,O 是对角线的交点,AF 平分∠BAC ,DH ⊥AF 于点H ,交AC 于点G ,DH 延长线交AB 于点E求证:BE =2OG20、如图,已知一次函数y=-x+8和反比例函数y =xk 图象在第一象限内有两个不同的公共点A 、B .(1)求实数k 的取值范围;(2)若△AOB 的面积S=24,求k 的值.21、如图,在平面直角坐标系中,函数y=2x+12的图象分别交x 轴,y 轴于A ,B 两点,过点A 的直线交y 轴正半轴于点M ,且点M 为线段OB 的中点.(1)求直线AM 的函数解析式.(2)试在直线AM 上找一点P ,使得 S △ABP =S △AOB ,请直接写出点P 的坐标.(3)若点H 为坐标平面内任意一点,在坐标平面内是否存在这样的点H ,使以A ,B ,M ,H 为顶点的四边形是等腰梯形?若存在,请直接写出点H 的坐标;若不存在,请说明理由.22、如图,在▱ABCD 中,过A 、B 、C 三点的圆交AD 于E ,且与CD 相切.若AB=4,BE=5,求DE 的长。
江苏省南通中学2019创新实验班招生考试数学试卷一、选择题(每题5分,共40分)1.在生活中,我们有时用抽签的方法来决定某件事情.如,用抽签的方法从3名同学中选1名去参加音乐会,准备3张相同的小纸条,并在1张纸条画上记号,其余2张纸条不画.把3张纸条折叠后放入一个盒子中搅匀,然后让甲、乙、丙依次去摸纸条,他们抽到画有记号的纸条的概率记P P P 甲、乙、丙,则( ) A.P P P 甲乙丙>>B.P P P 甲乙丙<<C.=P P P 甲乙丙>D.==P P P 甲乙丙2.已知A,B 是两个锐角,且满足225sin cos 4A B t +=,2223cos sin 4A B t +=,则实数t 所有可能值的和为( ) A.53-B.83- C.1 D.1133.已知当时,函数满足,则a 的取值范围是( ) A.B.C.D.4.一个几何体是由若干个相同的正方体组成的,其主视图和左视图 如图所示,则这个几何体最少可由多少个这样的正方体组成( ) A.5个B.6个C.7个D.8个5.如图,在反比例函数3y x =的图象上有一动点A ,连接AO 并延长交图象的另一支于点B ,在第一象限内有一点C ,满足AC=BC ,当点A 运动时, 点C 始终在函数k y x =的图象上运动,若tan ∠CAB=2,则k 的值为( )。
A.-6B.-12C.-18D.-246.已知函数y =x +t x,有如下性质:如果常数t >0,那么当0<x t ≤时,y 随x 的增大而减小,当x t ≥时,y 随x 的增大而增大,若2412321x x y x --=+,(0<1x ≤),则y 的取值范围是( ) A.43y -≤≤-B.1143y -≤≤-C.1133y -≤≤-D.3y ≤-7.如图,四边形ABCD 中,AC,BD 是对角线,△ABC 是等边三角形. ∠ADC=30°,AD=3,BD=5,则CD 的长为( ) A.32B.4C.25D.4.58.在平面直角坐标系中,形如2,)m n (的点涂上红色(其中m 、n 为整数),称为红点,其余不涂色,那么抛物线21969612y x x =-+上有( )个红点. A.1个B.2个C.3个D.4个二、填空题(每题6分,共36分)9.将直线32y x =-向上平移4个单位,再向上平移10个单位,所得直线的解析式是 . 10.如图,摩天轮⊙P 的最高处A 到地面l 的距离是62米,最低处B 到地面l 的距离是2米.若游客从B 处乘摩天轮绕一周需15分钟,则游客从B 处乘摩天轮到地面l 的距离是47米时最少需 分钟.11.已知关于x 的不等式组5210x x a -≥-⎧⎨-⎩>整数解的和为5,则a 的取值范围为 .12.已知函数21(1)1(1)x x y ax x ⎧+≥=⎨-⎩<,若y 随x 的增大而增大,则实数a 的取值范围是 .13.如图,四边形ABCD 是菱形,AB=4,∠ABC=60°,M 为对角线BD (不含B 点)上任意一点,则AM+12BM 的最小值为 . 14.我们将1×2×3×L ×n 记作n !,如:5!=1×2×3×4×5;100!=1×2×3×L ×100;若设S=1×1!+2×2!+3×3!+L+2018×2018!,则S 除以2019的余数为 . 三、解答题(共74分)23315.310.16210215); 2.53m n x x m m n m m m m n m ++=-+-⋅-+--已知、是方程的两根()求(的值()求的值16.如图所示,以平行四边形ABCD 的边AB 、BC 、CD 、DA 为斜边分别向外侧作等腰直角三角形,直角顶点分别为E 、F 、G 、H ,顺次连接这四个点,得四边形EFGH. (1)求证:HE =HG ;(2)四边形EFGH 是什么四边形?并说明理由.17.设二次函数2(1)(2)1y m x m x =-+--,记其图象为C. (1)若图象C 与x 轴有两个公共点,求实数m 的取值范围; (2)求证:图象C 恒过x 轴上的定点,并求该定点的坐标;(3)若当12x ≤≤时图象C 上所有点均在直线1y mx =+的下方,求实数m 的取值范围.18.在平面直角坐标系xOy 中,对于点P(x ,y )和Q(x ,y ′),给出如下定义: 如果y′(0)(0)y x y x ≥⎧=⎨-⎩<,那么称点Q 为点P 的“关联点”.(1)①点(2,1)的“关联点”为_____;②如果点A (3,1)-,B (1,3)-的“关联点”中有一个在函数3y x=的图象上,那么这个点是_____(填“点A”或“点B”).(2)如果点N ′(1,2)m +是一次函数3y x =+图象上点N 的“关联点”,求点N 的坐标. (3)如果点P 在函数24(2)y x x a =-+-≤<的图象上,其“关联点”Q 的纵坐标y′的取值范围是4'4y -≤<′,那么实数a 的取值范围是_______.19.已知在平面直角坐标系xOy 中,O 是坐标原点,以(1,1)P 为圆心的P 与y 轴,y 轴分别相切于点M 和点N,点F 从点M 出发,沿x 轴正方向以每秒1个单位长度的速度运动,连接PF,过点P 作PE ⊥PF 交y 轴于点E,设点F 运动的时间是t 秒(t >0)(1)若点E 在y 轴的负半轴上(如图),求证: PE=PF;(2)在点F 运动过程中,设OE=a ,OF=b ,试用含a 的代数式表示b .20.已知3a ≥,函数{}2min 21,242y x x ax a =--+-,其中{}()min ,.()p p q p q q p q ≤⎧=⎨⎩> (1)若a =3,求使得{}22min 21,242242x x ax a x ax a --+-=-+-成立的x 的取值范围;(2)求该函数的最小值()m a .。
厦门大学附属科技中学2019 年 厦 大 创 新 实 验 班 招 生 考 试物 理 试 卷区(县): 毕业学校: 姓名: 准考证号:本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分。
共80分。
考试时间50分钟。
注意事项:1.全卷四大题,20小题,共 4 页,另有答题卡。
2.答案一律写在答题卡上,否则不能得分。
3.全卷 g 取 10 N/kg。
第Ⅰ卷(选择题 共30分)一、选择题(本题共 10小题,每小题 3 分,共 30分,每小题只有一个选项符合题意,请将符合题意的选项的字母代号填入答题卡中相应的空格内)1.“赏中华诗词、寻文化基因、品生活之美”的《中国诗词大会》,深受观众的青睐。
下列对古诗文中涉及的热现象解释正确的是A.“螣蛇乘雾,终为土灰。
”雾的形成是液化现象B.“青青园中葵,朝露待日晞。
”露的形成是汽化现象C.“月落乌啼霜满天,江枫渔火对愁眠。
”霜的形成是凝固现象D.“雾凇沆砀,天与云与山与水,上下一白。
”雾凇的形成是升华现象2.全球变暖已经日益威胁到生物的生存,右图为一对北极熊母子无助地坐在一块不断熔化缩小的浮冰上。
若浮冰和北极熊始终处于漂浮状态,则随着浮冰的熔化,正确的是A. 浮冰受到的浮力不变B. 浮冰受到的浮力减小C. 熊对浮冰的压力在增大D. 熊受到浮冰的支持力在减小3.玻璃杯从一定高处掉到水泥地上会破碎,而掉到沙坑里却不易破碎。
老师要求同学针对这一现象提出一个问题。
下面是四位同学的发言,其中较有价值且可探究的问题是A.“玻璃杯掉到水泥地上会破碎,是因为地面比较硬”B.“玻璃杯从一定高处掉到水泥地上会破碎吗?”C.“为什么玻璃杯掉到水泥地上会破碎,而掉到沙坑里却不容易破碎呢?”D.“玻璃杯掉到地上是否破碎与下落高度、地面的软硬程度有什么关系?”4.如右图,水平桌面上并排靠近放置两个相同的小木块。
当用细管沿水平方向对着木块间的狭缝快速吹气时A.两木块都不受摩擦力B.两木块受到的摩擦力大小相等,方向相同C.两木块受到的摩擦力大小不等,方向相同D.两木块受到的摩擦力大小相等,方向相反5.如右所示,一直杆可绕O点转动,杆下挂一重物,为了提高重物,用一个始终跟直杆垂直的力F使直杆由竖直位置慢慢转动到水平位置,在这个过程中这个直杆A.始终是省力杠杆 B.始终是费力杠杆C.先是省力杠杆,后是费力杠杆 D.先是费力杠杆,后是省力杠杆6.质量分布均匀的A、B两个实心正方体(V A>V B),放置在盛水的容器中,静止时如下图所示。
2019年实验初中创新班分班考试数学试题一、填空题(每小题分,共分)1. 二十八亿九千零六万三千零五十,写作( ),改写成以“亿”作单位的数是( ),省略万后面的尾数是( )。
2. 237A =⨯⨯,257B =⨯⨯,A 和B 的最大公因数是( ),最小公倍数是( )。
3. 找规律填数:⑴ 1,2,3,5,8, 。
⑵ 9,7,10,8,11, 。
4. 如图,在直角三角形中,1∠= ,2∠= 。
5. 在一道减法算式中,被减数、减数、差三个数的和是200,差与减数的比是3:2,差是( )。
6. 一个长方体底面积是20平方分米,如果底面积增加5平方分米,要使长方体体积不变,高应该减少( )%。
7. 修一条长250千米的路,先修了这条路的15,又修了15千米,还剩( )千米。
二、选择题(每小题错误!未找到引用源。
分,共错误!未找到引用源。
分)1. 一位同学在计算167a +时,把167当作16.7,那么( )。
A 、和增加了10倍B 、和减少了10倍C 、和增加了()16716.7-D 、和减少了()16716.7-2. 1克药放入100克水中,药与药水的比是( )。
A 、1:99B 、1:100C 、1:101D 、100:1013. 加工一种零件,有a 个合格,b 个不合格,则合格率为( )。
A 、100%b a b ⨯+ B 、100%a a b⨯+ C 、100%a a b ⨯- D 、100%b a b ⨯- 4. 已知:11113331213a b c ⨯=⨯=⨯,并且a 、b 、c 都不等于0,把a 、b 、c 三个数按从大到小排列是( )。
A 、a b c >>B 、a c b >>C 、b c a >>D 、c b a >>三、判断题(对的在括号内打“√”,错的打“×”,每小题 分,共错误!未找到引用源。
分)1. 任意两个相邻的自然数(0除外)都是互质数。
英语学科知识竞赛试题第I卷(选择题共65分)一、英语知识运用(共两节,满分40分)第一节单项填空(共20小题:每小题1分,满分20分)从A、B、C、D四个选项中,选出可以填人空白处的最佳选项,并在答题卡上将该项涂黑。
1. This morning I _________ some new restaurants on the Internet for I wanted to take Mia to a nice restaurant for her birthday.A. picked upB. looked upC. cleaned upD. gave up2. They are able to talk openly to one another whenever _______ of them feels hurt.A. eitherB. bothC. someD. all3. ________ is waiting for you at the gate. He wants to say thanks to you.A. SomebodyB. AnybodyC. EverybodyD. Nobody4. How beautifully she sings! I've never heard ________.A. the better voiceB. a good voiceC. the best voiceD. a better voice5. The mobile phone has influenced people’s life a lot since it ____A inventsB inventedC is invented D. was invented6. --- Hi, Jack! Did you got to Jim’s birthday party?--- No, I feel so sad. I ______ .A didn’t inviteB wasn’t invitedC am not invitedD hadn’t invited.7. The Olympic Games of 2016 will _____ in Brazil.A. take afterB. take offC. take placeD. take away 8. ---Can you tell me_______________?---Yes, a kind of air pollution and it’s bad for our health.A. what “PM2.5” meanB. what does “PM2.5” meanC. what “PM2.5” meansD. what does “PM2.5” means9. Do you know _________________?A. what did he say just nowB. how long we will stay hereC. who will we come to helpD. where is the nearest bus-stop10. _________has been found out _________ oil food is bad for our health.A. That; thatB. That; whatC. It; whatD. It; that11. She is ________ to take care of the _________ baby.A. enough careful; 2-year-oldB. careful enough; 2 yeas oldC. enough careful; 2-year oldD. careful enough; 2-year-old12. Not only ________ people spread treats around different places, but they also ________ the treats as gifts.A. do; give outB. /; gave outC. /; give outD. do; gave out13. Our parents gave us so much love, so we should _________ them.A. look throughB. look up toC. look upD. look for14. Today is _________ a sunny day _________ nobody wants to stay at home.A. so; thatB. such; thatC. too; toD. enough; to15. -------Jack, could you tell me if Tom ________ to our club this weekends?------- I think she will come if he ________.A.will come; invitesB. comes; will invitesC. will come; is invitedD. comes; is invited16. Now thousands of children whose parents in the country move to the city to _____ jobs feel ____.A. look for, aloneB. find, lonelyC. look for, lonelyD. find, alone17. ---Sally, I hear World Horticultural Exposition held in Qingdao. I really want to visit it.---I’m sorry you _________ the wonderful exh ibition. It was just over on October.A. have lostB. have missedC. are missingD. will lose18. ---Walking more is good for our health.---You’re right. So I’d rather ____ an hour’s walk to work than consider ______ a car.A. take;drivingB. take;driveC. take;to driveD. to take;driving19. --- Is Thomas giving us a speech tomorrow?--- No, it ______ be him. He _________ to Sydney.A. mustn’t; has goneB. mustn’t; has beenC. can’t; has goneD. can’t; has been20. --- When did you buy the computer?--- I __________ this computer for 5 years, but it still _____ well.A. bought, isB. have had, worksC. have bought, isD. bought, works 第二节完形填空(共20小题;每小题1分,满分20分)阅读下面两篇短文,掌握其大意,然后从各小题的四个选项中,选出最佳选项.ADenny Crook was a famous photographer. He traveled all over the world, taking pictures for magazines and newspapers, and won many prizes.“I’ll do anything to get a good photo,” he often said. “I’ll go anywhere at any time, even if it is (21).”And he told the (22). He had photos of earthquakes, forest fires, floods and even wars. If something interesting happened, Denny went to photo it.He was a married man and his wife often asked him to take her with him, but he always (23).”I’ll travel for my work, not for (24),” he told her .“You won’t enjoy yourself, and I won’t have (25) to look after you. Sometimes there’s not even anywhere to (26), and I have to sleep outside. I often don’t have a good (27) or a bath for days. You won’t like it.”“Denny, I’m not a child,” his wife didn’t (28). “I can look after myself. Please take me with you the next time you go overseas.”Denny did not say anything, but he (29) about it, and when he was asked to go to Africa he said to his wife, “You can come to Africa with me if you want to. I’ve got to take photos of wild (30) there. It should be interesting and not too uncomfortable.”His wife was very (31), and at first she had a very enjoyable time.Then Denny went to off to (32) some lions to photo. His wife went with him, but before long they became separated. She walked down one path while he walked down the other.Suddenly, Denny heard her (33). He ran back and saw her running toward him. A huge lion was chasing her.Quickly Denny took his camera out of its case and (34) it at his wife and the lion.Then he shouted, “(35), woman! I can’t get you both in the picture!”21. A. dangerous B. natural C. convenient D. impossible22. A. lie B. reason C. news D. truth23. A. allowed B. refused C. failed D. joked24. A. wealth B. prize C. pleasure D. luck25. A. money B. time C. interest D. ability26. A. meet B. work C. shop D. stay27. A. meal B. picnic C. room D. party28. A. agree B. understand C. reply D. complain29. A. worried B. forgot C. asked D. thought30. A. land B. flowers C. animals D. people31. A. confused B. excited C. surprised D. disappointed32. A. find B. feed C. drive D. shoot33. A. singing B. crying C. laughing D. cheering34. A. threw B. fired C. showed D. pointed35. A. Hurry up B. Look out C. Slow down D. Go aheadBLong long ago, all feelings lived on an island(岛):Happiness, Sadness, Knowledge and all of the others, (36)Love. One day it was said that the island would sink, so all of the feelings were busy making boats and ready to go.The crucial moment came at last! When the island nearly (37), Love gave her boat to poor people who couldn’t make a boat. Now it was Love’s turn to ask for help.Richness(财富)was passing by Love in a boat. Love said, “Richness, can you take with you?” Richness answered , “No, I can’t. There is lots of treasure(金银财宝) in my boat. There is no (38) here for you.” Just at that time, Sadness was nearer, so Love asked, “Sadness, let me go with you.” “Oh, Love, I am so sad that I need to be alone by myself .”Happiness passed by Love, too, but she was too happy to hear clearly what Love said to her.Suddenly, there was a (39) ,“Come on, Love, I will take you.” It was an elder. Love even forgot to ask him where they were going. When they (40) dry land, the elder went awa y. Love asked Knowledge, another elder, “Who helped me?”“It was Time.” Knowledge answered.“Time?” asked Love. “But why did Time help me?”Knowledge smiled and answered, “Because only Time can understand how important Love is.”36. A. include B. includes C. included D. including37. A. sank B. sink C. sinking D. sunk38. A. space B. room C. places D. rooms39. A. sound B. noise C. voice D. whisper40. A. arrived B. got C. reached D. walked二、阅读理解(共20小题;每小题1分,满分20分)阅读下列短文,从每题所给的四个选项(A-D)中,选出最佳选项,ATuesday, 1st SeptemberI had mixed feelings today, nervous, worried, happy, excited… My heartwent down when Miss Chan, our head teacher, said that Matthew and Beth, two students from England, would spend threemonths with us! I was worried that I had to speak English so much! But at the end of the school day, I was happier than I thought: the morning with them today was more enjoyable than I expected.Today is the most unforgettable first day I have had! Matthew is fantastic! His English is clearer and easier to listen to than I thought. The other English student, Beth, is the most helpful girl I’ve ever met. There were lots of things to do on the first day. Beth offered to help Miss Chan put up all the notices. Of course, some of the credit (功劳)should also go to ME because I translated some of the notices for her. Miss Chan praised us!We finished all the preparations 10 minutes earlier than expected, then Beth and I talked for a while, Matthew sang several English songs and did some stand-up comedy (单人喜剧表演)at the party. We all praised him. When the bell rang to end the first school day, none of us wanted to leave.When I went back home, I had a little headache. I have probably spoken more English todaythan the whole of last year.It was really a happy day! I hope our friendship can continue, even after they gone back to England!41. The writer felt ______ when he heard the news from Miss Chan.A. excitedB. angryC. fantasticD. worried42. Beth helped Miss Chan with the ______.A. comedyB. speechesC. noticesD. translation43. Matthew ______ at the party.A. had a talkB. rang the bellC. sang several songsD. made a preparation44. Matthew and Beth ______ on the first day.A. spoke much ChineseB. got lots of praiseC. had a little headacheD. forgot to leave the school45. From the passage, we know that the writer ______.A. caught a bad cold that dayB. went back home with BethC. expects to travel to EnglandD. likes the two English studentsBIn the 1920s and 30s the airlines were just beginning. It was unusual for people to travel by air because it was expensive and dangerous. In those days, there were no flight attendants to look after the passengers. Young men ,or “stewards” helped the passengers onto the airplane and carried the passengers’ luggage(行李)but they did not provide food and drinks. But then in 1930,a woman called Ellen Church invented the “stewardess”.Ellen Church was born in 1904 on a farm in Iowa. She was a different child. She didn’t want to work on a farm or marry a farmer —she wanted a more adventurous(冒险的)life. Ellen studied to be a nurse at the University of Minnesota and then got a job in a hospital. For the next few years shestayed at the hospital but also took flying lessons and got her pilot’s license.Ellen was twenty-five years old when she first got in touch with Boeing Air Transport. She loved flying but she understood that airlines were a man’s world. Although women like Emelia Earheart were becoming famous, she realized it was impossible for a woman to have a career as a pilot .But she had another idea. Most people were frightened of flying because. flying was still an unreliable(不可靠的) way to travel. There were often delays(延误),many crashes and the bad weathers made many passengers sick. Ellen thought nurses could take care of passengers during flights and B.A.T. agreed.The young woman from Iowa and seven other nurses became the first air stewardesses.At first pilots were unhappy because they did not want stewardesses on airplanes, but passengers loved the stewardesses. In 1940 there were around 1000 of them working for different airlines. The earl y “stewardesses” had to be under twenty-five-year-old, single and slim. When a woman joined an airline, she had to promise not to get married or have children. It was hard job and not well paid. They worked long hours and earned $1 an hour.In the 1970s, stewardesses were unhappy in their job and airlines had to make some changes. Since the 1970s, “stewardesses” have been called flight attendants. They are well paid and work fewer hours than in the past.46. The last sentence of the first paragraph suggests that _________.A. the word “stewardess” was made up by Ellen ChurchB. Ellen Church was the first woman who flew a planeC. Ellen Church was the first woman who worked on a planeD. Ellen Church was the first woman passenger on a plane47. From the second paragraph, we learn that ________.A. Ellen did not behave in the same way as most as other girlsB. Ellen’s family was not rich enough to support her educationC. Ellen was fond of working as a nurse in the hospitalD. Ellen has an unhappy childhood that changed her completely48. The main reason for Boeing Air Transport offering Ellen the job was ________.A. her flying experienceB. her university educationC. her nursing experienceD. her life attitudes49. According to the passage, in the 1940s a woman had to ________ if she wanted to be a stewardess.A. be a nurseB. be marriedC. be a motherD. be young50. The passage mainly talks about _______.A. the background of early flying pilotsB. the experience of flying passengersC. the history of early flight attendantsD. the development of airplanesCChris is not a traditional explorer(探险者)- he usually works in an office for a large organization. Yet his job can sometimes be just as exciting and dangerous as being an explorer.Chris works for MSF, an organization also known as Doctors Without Borders(无国界医生). MSF sends trained doctors all over the world to help people after a war or a disaster. Chris is a doctor from France who has travelled to many places to organize programs that help people. At the moment, there are over 27,000 trained medical staff taking part in MSF projects and tasks. The organization received the Nobel Peace Prize in 1999.All kinds of doctors can volunteer for MSF. They need to be prepared to go almost anywhere in the world and, of course, they should expect difficult conditions. Doctors with experience in tropical(热带的)diseases are especially useful because most of MSF’s work is in Africa. When MSF accepts a doctor for a task, he has to go for at least six months. When doctors have completed a few tasks, they might be sent on an emergency task following a disaster, such as an earthquake.But why would a doctor leave a comfortable life and a good salary to join MSF? According to Chris, the experience you gain is a great help in your career. Besides, just like the explorers of the past, you need to keep an open mind and learn to mix well with the people you meet. Most importantly, at the end of each task, you have made a real difference to people’s lives.51. Chris works for a large organization as _________.A. an explorerB. a doctorC. a volunteerD. as Doctors Without Borders52. MSF sends trained doctors all over the world to help people _____________.A. after a warB. after a disasterC. in FranceD. after a war ora disaster53. An MSF doctor’s job is exciting because __________.A. you need to keep an open mind and learn to mix well with the people you meet.B. you may travel to many places and help people in need.C. The organization received the Nobel Peace PrizeD. the experience you gain is a great help in your career.54. According to Chris, his work is important to other people because ___________.A. his job makes a difference to people’s lives.B. the experience you gain is a great help in your career.C. you need to keep an open mind and learn to mix well with the people you meet.D. he has travelled to many places to organize programs that help people.55. The main idea of this article is about ____________.A. MSF is an organization also known as Doctors Without Borders.B. Chris’ job can sometimes be just as exciting and dangerous as being an explorer.C. MSF sends trained doctors all over the world to help people after a war or a disaster.D. the introduction of the organization MSF.DThat Easter day ( 复活节) I found out we were so poor . The minister brought us the money for the poor family , so we must be poor , I thought . I didn’t like being poor . Everyone there probably already knew we were poor ! I thought about school . I was in the ninth grade and at the top of my class over 100 students . I wondered if the kids at school knew that we were poor .We sat in silence for a long time . Then it got dark , and we went to bed . All that week ,we girls went to school and came home , and no one talked much . Finally , on Saturday , Mom asked us what we wanted to do with the money . What did poor people do with the money ? We didn’t know . We didn’t want to go to the church on Sunday , but mom said we had to . Although it was a sunny day , we didn’t talk on the way . Mom started to sing , but no one joined in .At church we had a speaker . He talked about how churches in Africa built schools and houses for the poor people , but they needed more money to buy foods . The speake r said ,“ Can’t we all give away some money to help those poor people ?” We looked at each other and smiled for the first time in a week .Mom reached into her purse and pulled out the envelope . She passed it to Darlene , Darlene gave it to me , and I put it into the offering .When the offering was counted , the minister announced that it was a little over 500 dollars . The speaker was excited . He hadn’t expected sucha large offering from our small church . He said ,"You must have some rich people in this church .” Suddenly it struck us ! We had given 420dollars of that “ little over 500 dollars .“We were the rich family in the church ! Hadn’t the speaker said so ? From that day on , I’ve never been poor again .56.When the writer’s family was given the money for the poor , sheprobably felt ____________ .A.thankful B.surprised C.fair D.embarrassed ( 难堪的) 57. The mother decided to go to the church to ________________A.hang out with her kids B.donate ( 捐赠) the money to poor people C.cheer her kids up D.show other people they were not poor 58. What does the underlined word “announced” mean ?A. Spoke loudly in public B. Made a hard decisionC . Host a good programD . Discovered an exciting result59. Which of the statements is true ?A .The writer was bor n in an African country B. The writer didn’t like going to schoolC. The mother was helpful to others D . he mother didn’t want the money given by others60. What can we learn from the article ?A . It’s not good to receive others’ money B. Being poor ,you still can help C. Churches are good places to learn D. We should regard difficulties as challenges第Ⅱ卷(非选择题共55分)三综合填空(共20小题, 每小题1分,共20分)A. 用所给动词或词组的适当形式填空。
2019届中考试试题 理 (实验班)新人教版本卷分为第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分。
满分100分,考试时间90分钟。
注意事项:1.答卷前,考生务必将自己的姓名、学号和学校写在答题卷上。
2.第Ⅰ卷每小题选出答案后,用铅笔把答题卷上对应题目的答案标号涂黑,如需改动,用橡皮擦干净后,再选涂其他答案标号。
第Ⅱ卷用黑色墨水的签字笔或碳素钢笔在指定地方作答,答在试卷上或答在答题卷非指定的位置均无效。
3.考试结束后,监考老师只将答题卷收回。
第Ⅰ卷(选择题 共40分)一、选择题(本大题共8小题,每小题3分,共24分,在每小题所给的四个选项中,只有一个选项符合题意)1.如图所示,一同学沿一直线行走,现用频闪照相记录了他行走中9个位置的图片,观察图片,能比较正确反映该同学运动的速度-时间图像的是2.在地质、地震、勘探、气象和地球物理等领域的研究中,需要精确的重力加速度g 值,g 值可由实验精确测定。
近年来测g 值的一种方法叫“对称自由下落法”,它是将测g 归于测长度和时间,以稳定的氦氖激光波长为长度标准,用光学干涉的方法测距离,以铷原子钟或其他手段测时间,能将g 值测得很准,具体做法是:将真空长直管沿竖直方向放置,自其中O 点向上抛小球又落至原处的时间为T 2,在小球运动过程中经过比O 点高H 的P 点,小球离开P 点至又回到P 点所用的时间为T 1,测得T 1、T 2和H ,可求得g 等于A .21228T T H -B .21224T T H -C .21228T T H -D .21224T T H-3.甲、乙两个物体从同一地点沿同一方向做直线运动,其v 一t 图象如图所示。
关于两车的运动情况,下列说法正确的是 A.在t=1s 时,甲、乙相遇B.在t=2s 时,甲、乙的运动方向均改变C.在t=4s 时,乙的加速度方向改变D.在t= 2s ~t=6s 内,甲相对乙做匀速直线运动4.取一根长2m 左右的细线,5个铁垫圈和一个金属盘.在线端系上第一个垫圈1,隔12cm 再系一个垫圈2,以后垫圈之间的距离分别为36cm 、60cm 、84cm ,如图所示。
物理学科知识竞赛试题满分为100分,考试时间为70分钟一选择题(每题有一个正确选项,1—12题每题3分,13—15每题4分,共48分)1.下列说法中正确的是()A.扩散现象说明分子间有引力和斥力B.法拉第发现了电流周围存在磁场C.透过红色玻璃看到的绿叶呈黑色D.菜刀的刀口磨得很薄是为了减小压强2.下列图中有错误的是()3.有时在海边可以看到海市蜃楼的奇妙景观,下列光路图符合其原理图的是()4.如图所示,把杯子装一部分水,封闭好,放于水平桌面上,再倒立放置,前后两种情景进行对比,以下分析正确的是()A.水对杯底的压强相等B.水对杯底的压力相等C.杯子对桌面的压力相等D.杯子对桌面的压强相等5.以下说法正确的是()A.人从滑梯上匀速下滑时,总的机械能保持不变B.向上斜抛出的小球,在最高点既具有重力势能,又具有动能C.空中沿水平方向一直匀速飞行的飞机,在空投物资的过程中,动能不变、重力势能减小D.从空中下落的篮球最后停在地面保持静止,是因为篮球的机械能消失6.以下关于力的分析中正确的是:()A.马拉车在加速行驶的过程中,马拉车的力大于车拉马的力B.马拉车匀速行驶时马拉车的力与车受到的阻力是一对平衡力C.小明用力推一个装满书的箱子没有推动,是因为小明的推力小于摩擦力D.人走在泥泞的道路上下陷是因为人对地面的压力大于地面对人的支持力7.如图所示,用水平力F把重为G的木块紧压在竖直墙上静止不动,不计手指与木块间的摩擦力,当水平力增加到2F时()A.木块所受的摩擦力变为原来的2倍B.木块受到墙面的弹力变为原来的2倍C.木块受到的重力变为原来的2倍D.条件不足,无法判断8.用伏安法测灯泡电阻时,若将电流表和电压表的位置接成如图所示的电路,可能出现的情况是:()A.灯泡不亮B.电流表烧坏C.电压表烧坏D.灯泡烧坏9.通电螺线管内外磁感线组成闭合曲线.如图所示,a、b、c三枚小磁针分别在通电螺线管的正上方、管内和右侧,当这些小磁针静止时,小磁针N极的指向是()A.a、b、c均向左 B.a、b、c均向右C.a向左,b向左,c向右 D.a向左,b向右,c向右10.一个物体沿直线做变速运动,它离开出发点的距离s随时间变化的关系为s=5t2(m),则物体在t=2s到t=3s间的平均速度的大小是:()A.15m/s B.20m/s C.25 m/s D.30 m/sA.被水平力压在竖直墙壁上静止的物体受力B.静止在斜面上物体的受力C.小磁针的极性D.经凸透镜的光线F F fF fF NF NG GN S-电源+F空气层A 空气层B空气层C空气层D11.一个阻值是0.1Ω和一个阻值是100Ω的电阻并联,总电阻()A.大于0.1ΩB.小于0.1ΩC.在0.1Ω和100Ω之间D.大于100Ω12.如图,R0、R1为定值电阻,闭合开关,将滑动变阻器的滑片向右滑动,则()A.V的读数不变,A1的读数变小B.V的读数不变,A1的读数变大C.V的读数变小,A1的读数变大D.V的读数变大,A1的读数变小13.如图所示,两个物体A、B各重20N ,在两个物体上分别施加水平拉力F1=4N F2=6N,两个物体均保持静止,则下列说法正确的是()A. A受到的静摩擦力大小为2N,方向向左B. A受到的静摩擦力大小为4N,方向向右C. B受到地面的摩擦力大小为2N,方向向右D. B与地面间无摩擦力作用14.如图所示:一根弹簧下端固定,竖立在水平面上。
2019年杭二中高一新生实验班选拔考试数学试卷(含答案)杭二中高一新生实验班选拔考试数学试卷一、选择题(共5小题,每小题7分,共35分.每道小题均给出了代号为A,B,C,D的四个选项,其中有且只有一个选项是正确的.请将正确选项的代号填入题后的括号里,不填、多填或错填都得0分)1.(7分)设,则代数式a2+2a﹣12的值为()A.﹣6 B.24 C.D.2.(7分)如图,直角梯形ABCD中,AD∥BC,AB⊥BC,AD=3,BC=5,将腰DC绕点D逆时针方向旋转90°至DE,连接AE,则△ADE的面积是()A. 1 B. 2 C. 3 D. 43.(7分)在等边△ABC所在平面内有一点P,使得△PBC、△PAC、△PAB都是等腰三角形,则具有该性质的点有()A.1个B.7个C.10个D.无数个4.(7分)若x>1,y>0,且满足,则x+y的值为()A.1B.2C.D.5.(7分)设,则4S的整数部分等于()A.4B.5C.6D.7二、填空题(共5小题,每小题7分,共35分)6.(7分)若a是一个完全平方数,则比a大的最小完全平方数是_________.7.(7分)若关于x的方程(x﹣2)(x2﹣4x+m)=0有三个根,且这三个根恰好可以作为一个三角形的三条边的长,则m的取值范围是_________.8.(7分)一枚质地均匀的正方体骰子的六个面上的数字分别是1,2,2,3,3,4;另一枚质地均匀的正方体骰子的六个面上的数字分别是1,3,4,5,6,8.同时掷这两枚骰子,则其朝上的面两数字之和为奇数5的概率是_________.9.(7分)如图,点A,B为直线y=x上的两点,过A,B两点分别作y轴的平行线交双曲线(x>0)于C,D 两点.若BD=2AC,则4OC2﹣OD2的值为_________.10.(7分)如图,在Rt△ABC中,斜边AB的长为35,正方形CDEF内接于△ABC,且其边长为12,则△ABC 的周长为_________.三、解答题(共4题,每题20分,共80分)11.(20分)已知:不论k取什么实数,关于x的方程(a、b是常数)的根总是x=1,试求a、b的值.12.(20分)已知关于x的一元二次方程x2+cx+a=0的两个整数根恰好比方程x2+ax+b=0的两个根都大1,求a+b+c 的值.13.(10分)如图,点A为y轴正半轴上一点,A,B两点关于x轴对称,过点A任作直线交抛物线于P,Q两点.(1)求证:∠ABP=∠ABQ;(2)若点A的坐标为(0,1),且∠PBQ=60°,试求所有满足条件的直线PQ的函数解析式.14.(10分)如图,△ABC中,∠BAC=60°,AB=2AC.点P在△ABC内,且PA=,PB=5,PC=2,求△ABC 的面积.15、(10分)如图,△ABC是等边三角形,△BDC是顶角∠BDC=120°的等腰三角形,M是AB延长线上一点,N 是CA延长线上一点,且∠MDN=60°.试探究BM、MN、CN之间的数量关系,并给出证明.16、(10分)已知点M(p,q)在抛物线y=x2-1上,若以M为圆心的圆与x轴有两个交点A、B,且A、B两点的横坐标是关于x的方程x2-2px+q=0的两根.(1)当M在抛物线上运动时,⊙M在x轴上截得的弦长是否变化?为什么?(2)若⊙M与x轴的两个交点和抛物线的顶点C构成一个等腰三角形,试求p、q的值.2014年杭二中实验班选拔考试试卷数学答案一、选择题(共5小题,每小题7分,共35分.每道小题均给出了代号为A,B,C,D的四个选项,其中有且只有一个选项是正确的.请将正确选项的代号填入题后的括号里,不填、多填或错填都得0分)1.(7分)设,则代数式a2+2a﹣12的值为()A.﹣6 B.24 C.D.考点:完全平方式;代数式求值;二次根式的乘除法.专题:计算题.分析:此题可先把代数式a2+2a﹣12变形为(a+1)2﹣13,再把代入变形得式子计算即可.解答:解:∵a2+2a﹣12=(a+1)2﹣13,∴当时,原式=(﹣1+1)2﹣13=7﹣13,=﹣6.故选A.点评:本题考查了完全平方公式(a﹣b)2=a2﹣2ab+b2和(a+b)2=a2+2ab+b2的运用.2.(7分)解:过点D作DG垂直于BC于G,过E作EF垂直于AD交AD的延长线于F,∵∠EDF+∠CDF=90°,∠CDF+∠CDG=90°,∴∠EDF=∠CDG,又∵∠EFD=∠CGD=90°,DE=DC,∴△EDF≌△CDG(AAS),∴EF=CG,∴CG=BC﹣BG=5﹣3=2,∴EF=2,∴S△ADE=×AD×EF=×3×2=3.故选C.3.(7分)在等边△ABC所在平面内有一点P,使得△PBC、△PAC、△PAB都是等腰三角形,则具有该性质的点有()A.1个B.7个C.10个D.无数个考点:等腰三角形的判定.分析:过B点作△ABC的中垂线,可知在三角形内有一点P满足△PBC、△PAC、△PAB都是等腰三角形,根据等腰三角形的性质可以做两个圆,圆B和圆A,从而可以得出一条中垂线上有四个点满足△PBC、△PAC、△PAB都是等腰三角形,而三角形内部的一点是重合的,所以可以得出共有10个点.解答:解:作三边的中垂线,交点P肯定是其中之一,以B为圆心,BA为半径画圆,交AC的中垂线于P1、P2两点,作△P2AB、△P2BC、△P2AC,它们也都是等腰三角形,因此P1、P2是具有题目所说的性质的点;以A为圆心,BA为半径画圆,交AC的中垂线于点P3、P3也必具有题目所说的性质.依此类推,在△ABC的其余两条中垂线上也存在这样性质的点,所以这些点一共有:3×3+1=10个.故选:C.点评:本题考查了等腰三角形的性质以及同学们对图形的整体理解,三角形中任意两条边相等就是等腰三角形.4.(7分)若x>1,y>0,且满足,则x+y的值为()A.1B.2C.D.考点:同底数幂的乘法.专题:计算题.分析:首先将xy=x y变形,得y=x y﹣1,然后将其代入,利用幂的性质,即可求得y的值,则可得x的值,代入x+y求得答案.解答:解:由题设可知y=x y﹣1,∴x=yx3y=x4y﹣1,∴4y﹣1=1.故,从而x=4.于是.故选C.点评:此题考查了同底数幂的性质:如果两个幂相等,则当底数相同时,指数也相同.5.(7分)设,则4S的整数部分等于()A.4B.5C.6D.7考点:部分分式.专题:计算题;整体思想.分析:由于,由此可以得到1<S=,然后即可求出4S的整数部分.解答:解:当k=2,3…99,因为,所以1<S=.于是有4<4S<5,故4S的整数部分等于4.故选A.点评:此题主要考查了部分分式的计算,解题的关键是利用了.二、填空题(共5小题,每小题7分,共35分)6.(7分)若a是一个完全平方数,则比a大的最小完全平方数是a+2+1.考点:完全平方数.专题:计算题.分析:由于a是一个完全平方数,则a=()2.可知比a大的最小完全平方数是(+1)2.解答:解:∵a是一个完全平方数,∴a的算术平方根是,∴比a的算术平方根大1的数是+1,∴这个完全平方数为:(+1)2=a+2+1.故答案为:a+2+1.点评:本题考查了完全平方数.解此题的关键是能找出与a之差最小且比a大的一个完全平方数是紧挨着自然数后面的自然数:(+1)2.7.(7分)若关于x的方程(x﹣2)(x2﹣4x+m)=0有三个根,且这三个根恰好可以作为一个三角形的三条边的长,则m的取值范围是3<m≤4.考点:根与系数的关系;三角形三边关系.专题:计算题.分析:根据原方程可知x﹣2=0,和x2﹣4x+m=0,因为关于x的方程(x﹣2)(x2﹣4x+m)=0有三个根,所以x2﹣4x+m=0的根的判别式△>0,然后再由三角形的三边关系来确定m的取值范围.解答:解:∵关于x的方程(x﹣2)(x2﹣4x+m)=0有三个根,∴①x﹣2=0,解得x1=2;②x2﹣4x+m=0,∴△=16﹣4m≥0,即m≤4,∴x 2=2+,x3=2﹣,又∵这三个根恰好可以作为一个三角形的三条边的长,且最长边为x2,∴x1+x3>x2;解得3<m≤4,∴m的取值范围是3<m≤4.故答案为:3<m≤4.点评:本题主要考查了根与系数的关系、根的判别式及三角形的三边关系.解答此题时,需注意,三角形任意两边和大于第三边.8.(7分)一枚质地均匀的正方体骰子的六个面上的数字分别是1,2,2,3,3,4;另一枚质地均匀的正方体骰子的六个面上的数字分别是1,3,4,5,6,8.同时掷这两枚骰子,则其朝上的面两数字之和为奇数5的概率是.考点:列表法与树状图法.分析:利用列表法求出所有的举朝上的面两数字之和,得出5的个数,即能得出朝上的面两数字之和为奇数5的概率.解答:解:∵正方体骰子的六个面上的数字分别是1,2,2,3,3,4;另一枚质地均匀的正方体骰子的六个面上的数字分别是1,3,4,5,6,8,用列表法列举朝上的面两数字之和所有可能是:∴朝上的面两数字之和为奇数5的概率是:=.故答案为:.点评:此题主要考查了用列举法求概率,列举出所有的可能结果是解决问题的关键.9.(7分)如图,点A,B为直线y=x上的两点,过A,B两点分别作y轴的平行线交双曲线(x>0)于C,D 两点.若BD=2AC,则4OC2﹣OD2的值为6.考点:反比例函数综合题.专题:计算题;数形结合.分析:根据A,B两点在直线y=x上,分别设A,B两点的坐标为(a,a),(b,b),得到点C的坐标为(a,),点D的坐标为(b,),线段AC=a﹣,线段BD=b﹣,根据BD=2AC,有b﹣=2(a﹣),然后利用勾股定理进行计算求出4OC2﹣OD2的值.解答:解:设A(a,a),B(b,b),则C(a,),D(b,)AC=a﹣,BD=b﹣,∵BD=2AC,∴b﹣=2(a﹣)4OC2﹣OD2=4(a2+)﹣(b2+)=4[+2]﹣[+2]=4+8﹣4﹣2=6.故答案为:6.点评:本题考查的是反比例函数综合题,根据直线与反比例函数的解析式,设出点A,B的坐标后可以得到点C,D的坐标,运用勾股定理进行计算求出代数式的值.10.(7分)如图,在Rt△ABC中,斜边AB的长为35,正方形CDEF内接于△ABC,且其边长为12,则△ABC 的周长为84.考点:相似三角形的判定与性质;勾股定理;正方形的性质.分析:首先设BC=a,AC=b,由勾股定理与正方形的性质,可得:a2+b2=352,Rt△AFE∽Rt△ACB,再由相似三角形的对应边成比例,可得12(a+b)=ab,解方程组即可求得.解答:解:如图,设BC=a,AC=b,则a2+b2=352=1225.①又Rt△AFE∽Rt△ACB,所以,即,故12(a+b)=ab.②由①②得(a+b)2=a2+b2+2ab=1225+24(a+b),解得a+b=49(另一个解﹣25舍去),所以a+b+c=49+35=84.故答案为:84.点评:此题考查了正方形的性质和相似三角形的判定与性质,以及勾股定理等知识.此题综合性较强,解题时要注意合理应用数形结合与方程思想.三、解答题(共4题,每题20分,共80分)11.(20分)已知:不论k取什么实数,关于x的方程(a、b是常数)的根总是x=1,试求a、b的值.考点:二元一次方程组的解.分析:首先把根x=1代入原方程中得到一个关于k的方程,再根据方程与k无关的应满足的条件即可得a、b的值.解答:解:把x=1代入原方程并整理得(b+4)k=7﹣2a要使等式(b+4)k=7﹣2a不论k取什么实数均成立,只有满足,解之得,b=﹣4.点评:本题要求同学们不仅熟悉代入法,更需要熟悉二元一次方程组的解法,解题时要根据方程组的特点进行有针对性的计算.12.(20分)已知关于x的一元二次方程x2+cx+a=0的两个整数根恰好比方程x2+ax+b=0的两个根都大1,求a+b+c 的值.考点:一元二次方程的整数根与有理根.专题:计算题.分析:设出第一个方程的两根,表示出后面方程的另2根.利用根与系数的关系均得到与a的关系,进而消去a,得到两个一次项的积为一个常数的形式,判断可能的整数解,得到a,b,c的值,相加即可.解答:解:设方程x2+ax+b=0的两个根为α,β,∵方程有整数根,设其中α,β为整数,且α≤β,则方程x2+cx+a=0的两根为α+1,β+1,∴α+β=﹣a,(α+1)(β+1)=a,(5分)两式相加,得αβ+2α+2β+1=0,即(α+2)(β+2)=3,∴或(10分)解得或又∵a=﹣(α+β)=﹣[(﹣1)+1]=0,b=αβ=﹣1×1=﹣1,c=﹣[(α+1)+(β+1)]=﹣[(﹣1+1)+(1+1)]=﹣2,或a=﹣(α+β)=﹣[(﹣5)+(﹣3)]=8,b=αβ=(﹣5)×(﹣3)=15,c=﹣[(α+1)+(β+1)]=﹣[(﹣5+1)+(﹣3+1)]=6,∴a=0,b=﹣1,c=﹣2;或者a=8,b=15,c=6,∴a+b+c=0+(﹣1)+(﹣2)=﹣3或a+b+c=8+15+6=29,故a+b+c=﹣3,或29.(20分)点评:主要考查一元二次方程根与系数关系的应用;利用根与系数的关系得到两根之间的关系是解决本题的关键;消去a后得到两个一次项的积为一个常数的形式是解决本题的难点.13.(20分)如图,点A为y轴正半轴上一点,A,B两点关于x轴对称,过点A任作直线交抛物线于P,Q两点.(1)求证:∠ABP=∠ABQ;(2)若点A的坐标为(0,1),且∠PBQ=60°,试求所有满足条件的直线PQ的函数解析式.考点:二次函数综合题.分析:(1)利用抛物线的图象上点的坐标特征,待定系数法球函数解析式,根与系数的关系和相似三角形的判定与性质解答即可;(2)利用(1)中已知与结论,继续由相似三角形,根与系数的关系、函数解析式求得结果.解答:(1)证明:如图,分别过点P,Q作y轴的垂线,垂足分别为C,D.设点A的坐标为(0,t),则点B的坐标为(0,﹣t).设直线PQ的函数解析式为y=kx+t,并设P,Q的坐标分别为(x P,y P),(x Q,y Q).由,得,于是,即.于是=.,又因为,所以.因为∠BCP=∠BDQ=90°,所以△BCP∽△BDQ,故∠ABP=∠ABQ;(2)解:设PC=a,DQ=b,不妨设a≥b>0,由(1)可知∠ABP=∠ABQ=30°,BC=,BD=,所以AC=,AD=.因为PC∥DQ,所以△ACP∽△ADQ.于是,即,所以.由(1)中,即,所以,于是可求得.将代入,得到点Q的坐标(,).再将点Q的坐标代入y=kx+1,求得.所以直线PQ的函数解析式为.根据对称性知,所求直线PQ的函数解析式为或.点评:此题主要考查相似三角形的判定与性质、根与系数的关系、待定系数法求函数解析式以及对称解决问题.14.(20分)如图,△ABC中,∠BAC=60°,AB=2AC.点P在△ABC内,且PA=,PB=5,PC=2,求△ABC 的面积.考点:相似三角形的判定与性质;勾股定理;勾股定理的逆定理.分析:首先作△ABQ,使得:∠QAB=∠PAC,∠ABQ=∠ACP,即可得△ABQ∽△ACP,即可得△ABQ与△ACP 相似比为2,继而可得△APQ与△BPQ是直角三角形,根据直角三角形的性质,即可求得△ABC的面积.解答:解:如图,作△ABQ,使得:∠QAB=∠PAC,∠ABQ=∠ACP,则△ABQ∽△ACP,∵AB=2AC,∴△ABQ与△ACP相似比为2,∴AQ=2AP=2,BQ=2CP=4,∠QAP=∠QAB+∠BAP=∠PAC+∠BAP=∠BAC=60°,∵AQ:AP=2:1,∴∠APQ=90°,∠AQP=30°,∴PQ===3,∴BP2=25=BQ2+PQ2,∴∠BQP=90°作AM⊥BQ于M,由∠BQA=∠BQP+∠AQP=120°,∴∠AQM=60°,QM=,AM=3,∴AB2=BM2+AM2=(4+)2+32=28+8,∴S△ABC=AB•ACsin60°=AB2=.点评:此题考查了相似三角形的判定与性质、直角三角形的判定与性质以及三角函数的性质.此题难度较大,解题的关键是辅助线的构造,还要注意勾股定理与勾股定理的逆定理的应用.15、考点:等边三角形的性质;全等三角形的判定与性质。
2019年XXX理科实验班自主招生考试化学试卷完整版可能用到的相对原子质量:H:1 C:12 N:14 O:16 Na:23 Mg:24 S:32 Ca:40 Fe:56 Cu:64一、选择题(10小题,每小题只有1个正确答案,每小题4分,共40分)1.下列关于物质分类的说法正确的是()A。
金刚石、白磷都属于单质B。
纯碱、烧碱都属于碱C。
冰水混合物、波尔多液都属于混合物D。
生石灰、熟石灰都属于氧化物改写:下列关于物质分类的说法中,正确的是()A。
金刚石、白磷都属于单质B。
纯碱、烧碱都属于碱C。
冰水混合物、波尔多液都属于混合物D。
生石灰、熟石灰都属于氧化物2.下列实验数据读取正确的是()A。
用胶头滴管取1.0mL水B。
用电子天平(精度:0.001g)称取50g食盐C。
用10mL量筒量取8.2mL水D。
用广泛pH试纸测定某溶液的pH=5.6改写:下列实验数据中,读取正确的是()A。
用胶头滴管取1.0mL水B。
用电子天平(精度:0.001g)称取50g食盐C。
用10mL量筒量取8.2mL水D。
用广泛pH试纸测定某溶液的pH=5.63.XXXXXX教授研究组发现,锰离子是细胞内天然免疫激活剂和警报素。
在元素周期表中锰元素的某些信息如图所示,下列有关锰的说法不正确的是()A。
原子序数为25B。
属于金属元素C。
原子核内质子数为25D。
相对原子质量为54.94g改写:以下有关锰的说法中,不正确的是()A。
原子序数为25B。
属于金属元素C。
原子核内质子数为25D。
相对原子质量为54.94g4.某同学归纳了知识点:①用水灭火的原理是降低了可燃物的着火点;②红磷在空气中燃烧产生大量白雾;③“粗盐中难溶性杂质的去除”实验中,当蒸发皿中出现较多固体时,停止加热;④防毒面具的原理是利用活性炭的强吸附性;⑤洗涤剂去除油污是因为洗涤剂可以溶解油污;⑥日常生活中塑料、合成纤维和合成橡胶都属于合成材料。
其中正确的组合是()A。
①⑤⑥B。
北大附属学校2019届高一实验班选拔考试理化综合(考试时间:90分钟满分:100分)第一部分物理部分(60分)友情提示:1.请将答案填写在答题卷中,写在试卷上不得分;2.选择题选项填在答题卷表格内;3.计算时取g=10N/kg一、选择题(本大题共10个小题,每小题2分,共20分;每小题只有一个选项是正确的,答对得2分,错选或不选得0分)1.当炎炎夏日时,人们使用空调来降低室内温度,当冬日严寒时,人们又可以使用空调来提高室内温度。
你觉得在使用的过程中,空调的风向应怎样调节最有利于整个室内温度尽快达到预设要求()A.无论夏天还是冬天,都应将空调出风口向下调节B.冬天,应将空调出风口向下调节,让暖风向下吹出C.夏天,应将空调出风口向下调节,让凉风向下吹出D.空调出风口风向并不影响制冷或制热的效果,所以无论冬天、夏天均可随意调节2.如图所示,水平桌面上的圆台形容器内有一块形状不规则的冰,冰和容器底的内表面还有间隙。
当这块冰全部融化成水后,下列说法正确的是()A.容器底的内表面受到的压强变小B.容器底的内表面受到的压力变大C.桌面受到的压强变大D.桌面受到的压力变小3.某同学做实验时把A、B灯泡串联,通过开关接在电源上。
闭合开关后,A灯发光,B灯不发光,B灯不发光的原因是()A.该灯电阻太大B.该灯电阻太小C.通过两灯泡电流不同D.该灯发生断路故障4.如图所示,P、Q两个物体经绕过定滑轮的细绳相连,叠放在水平桌面上。
现在P上作用一水平力F。
已知P、Q之间的滑动摩擦力为50N,P与桌面间的滑动摩擦力为100N,则水平力F至少为()才能将P拖出。
A.50N B.100N C. 150N D. 200N5.如图所示,某同学用滑轮组匀速提升一个重为800N的物体,物体上升的速度为1m/s,他拉绳的力F为300N,不计绳重和摩擦,下列说法正确的是()A.该同学拉绳做功的功率为200WB.滑轮组的机械效率为75%C.绳子自由端移动的速度为4m/sD.动滑轮重为100N6.如图所示,某公司有前后两个门和值班室。
北大附属学校2019届高一实验班选拔考试英语试卷(考试时间:90分钟满分:100分)友情提示: 请将答案写在答题卷上,凡写在试卷上的答案一律无效!第一节单项选择(共10 小题;每小题1分,满分10分)从A、B、C、D四个选项中, 选出可以填入空白处的最佳选项,并将选项填在答题卷的相应位置。
1. You looked for it twice, but you haven’t found it. Why not try ____ .A. three timesB. a third timeC. the third timeD. once2. It’s said that the dragon is the________of the Chinese nation.A. symbolB. sightC. signD. spirit3. ---Mum, could you buy me a dress like this?---Certainly, we can buy ______ one than this, but ______ this.A. a better; better thanB. a cheaper; as good asB. a worse; as good as D. a more important; good as4. In the Rio Olympics, he will________a volunteer with the hope of improving his spoken English.A.work onB.work outC.work asD.work for5. Unless _______ to speak, you should remain silent at the conference.A. is invitedB. having invitedC. invitingD. invited6. Jackie works in our company and is an excellent employee, because he ___________ IT for over twoyears in Japan.A. has studiedB. had studiedC. was studyingD. studied7. The form cannot be sighed by anyone yourself.A. rather thanB. more thanC. other thanD. less than8. He lived in a small village, ______ was a long way from the railway station.A. thatB. whichC. whereD. when9.----Lily has made great progress recently.-----________and__________.A. So she has;so have youB. So has she;so have youC. So she has;so you haveD. So has she;so you have10.----Teachers in Longyan No.1 Middle School are responsible for their work.They spend most oftime with us.----_________.They always communicate with our parents in their free time.A.That’s for sure.B.I hope soC.What?D.Why?第二节完形填空(共20小题;每小题1分,满分20分)阅读下面短文, 从短文后所给各题的四个选项(A、B、C和D)中, 选出可以填入空白处的最佳选项, 并将选项填在答题卷的相应位置。
2019年理科实验班化学试题一、选择题(每小题3分)
二、填空题(每空1分)
10、空气、水和食物是人类生命活动离不开的物质。
(1)下列行为能导致空气中PM2.5含量增加的是________(填字母)。
A.大量使用化石燃料B.露天焚烧垃圾C.发展轨道交通,低碳出行(2)在TiO2作催化剂和光照条件下,水能分解成氢气和氧气,写出该反应的化学方程式。
(3)长时间煎炸食物会产生有毒物质丙烯醛(C3H4O),它在空气中完全燃烧时,生成二氧化碳和水,该反应的化学方程式为。
11、下图是实验室常用气体制备装置,据图回答问题:
A B C D E F G
(1)用A 装置制取氧气的化学方程式是。
选择D 装置收集氧气是因为。
将带火星的木炭伸入盛有氧气的集气瓶中,木炭剧烈燃烧,发出白光,说明氧气能,该反应的化学方程式为。
(2)实验室制取氨气:Ca(OH)2(固)+2NH 4Cl(固)△CaCl 2(固)+2H 2O+2NH 3↑,要制取..并收.
集干燥...
的氨气,所选装置正确的连接顺序是()→()→()(填字母代号)。
(3)为探究氨气的性质,按右图装置进行实验。
观察到黑色粉末变红,白色无水硫酸
铜变蓝,同时反应中还有一种气体单质生成。
【查阅资料】Cu 2O 是红色,易与稀硫酸反
应:Cu 2O+H 2SO 4==CuSO 4+Cu+H 2O 。
【提出问题】得到的红色物质是什么?
【猜想】①是Cu ;②是Cu 2O ;③是。
若猜想①成立,玻璃管中发生反应的化学方程式为,说明NH 3具有性。
【设计实验】请你设计一个简单的实验来验证红色物质中是否存在Cu 2O :。
12、张老师在讲授溶液时,用固体M 做了如下实验,图一中甲、乙、丙、丁是充分搅拌后静置的现象,请回答相关问题(忽略水的挥发):
(1)上述烧杯中,溶液质量最大的是____(填序号)。
(2)上述实验可以判断物质M 的溶解度曲线是图二对应的_______(填序号)。
(3)甲、乙、丙烧杯中的溶液一定呈饱和状态的是____(填序号)。
(4)根据图二,若要使丁烧杯中的溶液恰好达到饱和状态,还需要加入g 的M 固体。
12、现代循环经济要求综合考虑环境污染和经济效益。
高纯氧化铁可作现代电子工业的材料,以下是以硫铁矿烧渣(主要成分为Fe 2O 3、FeO 、SiO 2)为原料制备高纯氧化铁(Fe 2O 3)的生产流程示意图:[(NH 4)2CO 3溶液呈碱性,40℃以上时(NH 4)2CO 3分解]。
(1)实验室中,操作Ⅰ、操作Ⅱ用到的玻璃仪器有玻璃棒、烧杯、____________等。
(2)滤液Ⅰ中主要的阳离子是____________等。
(3)加适量氨水的目的是____________。
(4)根据题中信息,加入(NH 4)2CO 3后,该反应必须控制的条件是____________。
(5)滤液Ⅱ中可回收的产品是____________
(写化学式)。
(注:白色无水硫酸铜遇水变蓝)
(6)煅烧FeCO3时,空气中的氧气也参加了化学反应,写出在空气中煅烧FeCO3的化学反应方程式。
三、计算题(6分)
15、在15g铁、氧化铜、四氧化三铁的固体混合物中加入稀硫酸300g,完全反应后无固体剩余,得到标准状态下的氢气1.68L(标准状态下氢气的密度为0.0899g/L);为了中和过量的硫酸,且使金属阳离子恰好全部转化为沉淀,共消耗了24%的氢氧化钠溶液100g。
求原硫酸溶液中溶质的质量分数。
1-9ABCD DDAB C
10(1)AB(2)2H2O==2H2↑+O2↑(条件:TiO2、光照)(3)2C3H4O+7O2==6CO2+4H2O(条件:点燃)
11、(1)2KMnO4△K2MnO4+MnO2+O2↑(或2KClO3△MnO2 2KCl+3O2↑)CO2的密度比空气大,且不与空气中的成分反应支持燃烧(或助燃)C+O2点燃CO2(2)AGE(3)Cu和Cu2O
2NH3+3CuO△3Cu+3H2O+N2还原取红色固体于试管中,加入稀硫酸,若观察到无色溶液变蓝,证明红色物质中含有Cu2O。
否则,
无Cu2O。
12、(1)丁(2)A(3)乙(4)8
【解析】(1)甲、乙、丙、丁四个烧杯中,溶剂质量都是50g,丁烧杯中溶解的溶质质量最大,溶液质量最大。
(2)由图1可知,M物质的溶解度随温度的升高而增大,故排除C曲线,在乙图中,溶剂质量为50g,溶解溶质质量小于10g,相当于100g溶剂中含有小于20g 溶质,对于B曲线来说,对应的溶解度恰好为20g,故不会有固体,故物质M对应的溶解度曲线为A。
(3)乙烧杯中有未溶解的溶质,一定是饱和溶液;甲和丙烧杯中没有未溶解的溶质,溶液是否饱和无法确定。
(4)30℃A物质的溶解度为46g,即50g水中最多能溶解23g 溶质,此时溶液中含有15g的M固休,所以还需加入8g的M固体。
13
14、(1)CO2
(2)红色液体变为无色
(3)Na2CO3
(4)Na2CO3+2HCl===2NaCl+H2O+CO2↑
(5)NaCl、CaCl2、酚酞
试题分析:(1)碱遇到酚酞变红,A溶液一定呈碱性;(2)酸和碳酸盐反应放出二氧化碳,气体D的化学式为:CO2;(3)酸性溶液遇到酚酞试液不变色,所以步骤②的实验现象为红色液体变为无色;(4)碳酸钠和酸反应生成二氧化碳,和可溶性钙盐反应生成碳酸钙沉淀,E溶液中的溶质可能是Na2CO3;(5)碳酸钠和盐酸反应生成氯化钠、水和二氧化碳;④中产生气体的反应的化学方程式为:Na2CO3+2HCl═2NaCl+H2O+CO2↑;(6)实验后将盛有C固体烧杯中的上清液取出少量,继续加入E溶液,仍有C固体析出,说明有氯化钙存在,同时有生成的氯化钠和酚酞,实验后所得溶液含有的溶质为:NaCl、CaCl2
15、9.8%。