启东中学提前招生试卷
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江苏省启东中学九年级物理普通高中提前招生试题一、选择题1.水平桌面上,甲、乙两相同的杯中盛有不同浓度的盐水.现将两相同的物块分别放入杯中,待物块静止时,两杯中液面恰好相平,如图所示.则()A.甲杯中物块受到浮力较大B.乙杯底部受到液体的压强较大C.向甲杯中缓慢加盐,物块受到的浮力一直增大D.向乙杯中缓慢加水,物块受到的浮力一直减小2.下列现象中,属于利用惯性的是A.坐汽车时要系好安全带B.跳远运动员快速助跑C.行车时要注意保持车距D.学校路段需减速慢行3.下列关于简单机械的理解,错误的是:()A.木螺丝能轻松拧入木头,螺丝的螺纹可看作是一个斜面B.汽车方向盘是一个轮轴,其本质是一个等臂杠杆C.将绳子把两根光滑的木棍绕起来,可以看作是滑轮组D.蜡烛跷跷板在两端蜡烛都点燃时能上下摆动,因此可以看作是一个杠杆4.下列关于热现象的一些说法,你认为正确的是()A.破镜不能重圆,说明分子间有斥力B.在寒冷的北方不用水银温度计测量气温,是因为水银的凝固点较高C.两物体相互接触时,热量总是从内能大的物体转移到内能小的物体D.夏天在室内洒水降温,利用了水的比热容较大的性质5.今年入夏,市政部门组织高压冲洗作业车辆,对我市长虹路高架的隔离墩进行冲洗养护,高架上某一水平路段上,一辆高压冲洗作业车装满水后,一边消耗大量的水对隔离墩进行高压冲洗。
一边慢慢匀速向前行驶,关于冲洗过程中的高压冲洗作业车,下列说法正确的是()A.动能变小,势能变小,机械能变小B.动能变小,势能不变,机械能变小C.动能不变,势能不变,机械能不变D.动能不变,势能变小,机械能变小6.关于声现象,下列说法正确的是()A.敲鼓时,鼓面振幅越大,音调越高B.敲鼓时,鼓面振动越快,响度越大C.敲鼓时,听到的声音由鼓槌的振动产生的D.敲鼓时,远处的人听到鼓声是由空气传播的7.如图所示,小明在做模拟“蹦极”的小实验,一根橡皮筋一端系一个小石块,另一端固定在A点,B点是橡皮筋不系小石块自然下垂时下端所在的位置,C点是小石块从A点自由释放后所能达到的最低点,不计空气阻力,关于小石块从A点到C点运动过程的说法正确的是()A.从B点到C点的过程中,小石块的动能不断减小B.在B点小石块的机械能最大C.小石块的机械能一直不变D.小石块在C点时处于平衡状态8.关于信息和能源,下列说法正确的是()A.电风扇工作时,电能主要转化为内能B.煤、石油、风能、天然气等都是不可再生能源C.目前的核电站是利用核裂变释放的核能工作的D.能量在转移、转化过程中总是守恒的,我们无需节约能源9.如图所示的电路中,电源电压不变,开关S闭合,灯L1和L2都正常发光.一段时间后,突然其中一灯熄灭,而电压表和电流表的示数都不变,出现这一现象的原因可能是A.灯L1短路B.灯L2短路C.灯L1断路D.灯L2断路10.如图是关于电磁现象的四个实验,下列说法正确的是()A.利用了发电机的工作原理B.实验说明通电导体周围存在磁场C.是探究电流磁效应的装置D.利用图原理可以制成电动机11.小明骑自行车到东进公园游玩,沿通榆河岸向南行驶,感觉无风,但堤上柳树的枝叶却在随风飘动,此时的风向是A.向北B.向南C.向东D.向西12.如图甲是某一模拟调光灯的实验电路。
年江苏省启东中学高一提前招生考试英语试卷(分值分考试时间分钟). 单项填空(共题,每题分,共分))情景交际. — , ?—! ’ .. . ’. .. —’ .—.. ’ . ’. , ’ ? . , ’. — !— , ?—.. . . .. —?— .. , ’ . ,. , . ’ . ’. —’ , ?—, .. , ’. , ’. , . ,)语言知识. Suzhou ’ .. ; . ; . ; . ;. —’ ?— . . .. . . .. —?—, ’ . .. . . .. ?. . . .. , .. . . .. —.—.. ; . ;. ; . ;. Oxford, , .. . . .. China... . . .. —’ ?—. ? . ’ ?. ? . ’ ?. .. .. .. ... . . .. —?—!. . . .. , .. . . .. —?—, .. . . .. , , .. . . .. 完形填空(共题,每题分,共分). ’ , . , , . . . , ..“, ,” . “ ? , . . , . ’ .”, . . , , , (存在).. . . . . (熟悉的). . . . .. . . . .. . . . .. . . . .. . . . .. . . . .. . . . .. . . . .. . . . .. . . . .. . . . .. . . . .. . . . .. . . . .. 阅读理解(共题,每题分,共分)()? , ’ . . ? ’ ! , .(好处). , (有效率). . , . . . , (灵活). ., . , , . , . , . , . , . , . , . ’ ’ ., , ’ . , , .. ?. . . .. . .. , ?. .. .. ?. . . .. . . .. , “” “”.. .. .()(预报)? . , . ’ (行为). , , . , , . . , (证据). , , .. . , (调查), . . . . , (冒犯的;侵略的), , (猛增)!. , , . , , . .. ?.. Japan. (影响)’.. ?. . . .. . . .. ?. . . .. ?. .. .()(表演)., . , ., . , , “ !” .? ?, (聚光灯) . , .. , . (隆起部分). , . , (象牙色的)., . . ., (自动地).().. , ., : ’ !, . , “” (技艺), ., . . .. .. ’. ’.. “ ” .. .. .. .. ’... (注意力). ?. .. .. .. .(), ’ . , . , —. ., . ? , (联合国教科文组织)(文化遗产). , ., (情况). “ China,” , . (申请), , .“ ’ , ’ ,” , . “ (祖先).”(-), . (爱国者). Miluo River, ’ . ’ , . . . ’ ., . Japan Vietnam, , , ., (争论). “ China,” , Hunan Province. “ , .”. ?. . . Korea .. , ’ (态度)..... ’. .. ’... (推断)?. .. .. .. China.(), . . . “’ .” . . “ ,Chicago. , . , ’ (下结论).”, ’ : “’ , !” . , “ ’ —’ . ’ !”. . , (习惯). , , (物品)., . ’ , ’ ’ . . , (不负责任).’ ’ , ’ (阁楼). : , , . , ? ’ , (纸板箱).. (分歧).. ’ (脾气). (争吵). ’. . . ’ ’. .. .. .. ’ ... (重要的)... ?. ’ .. . . .. .. . . .. 词汇运用(共题,每题分,共分)根据句意或首字母提示,在下列各句横线上填上所缺的单词。
【冲刺实验班】江苏启东中学2019中考提前自主招生数学模拟试卷(3绝密★启用前重点高中提前招生模拟考试数学试卷学校:___________姓名:___________班级:___________考号:___________ 注意事项:1.答题前填写好自己的姓名、班级、考号等信息2.请将答案正确填写在答题卡上一.选择题1.等边△ABC的各边与它的内切圆相切于A1,B1,C1,△A1B1C1的各边与它的内切圆相切于A2,B2,C2,…,以此类推.若△ABC的面积为1,则△A5B5C5的面积为A.B.C.D.2.如图,已知等腰梯形ABCD的腰AB=CD=m,对角线AC⊥BD,锐角∠ABC=α,则该梯形的面积是A.2msinα B.m22 C.2mcosα D.m22 3.正五边形广场ABCDE的周长为400米,甲,乙两个同学做游戏,甲从A处,乙从C处同时出发,沿A﹣B﹣C﹣D﹣E﹣A的方向绕广场行走,甲的速度为每分钟50米,乙的速度为每分钟46米.在两人第一次刚走到同一条边上的那一时刻A.甲不在顶点处,乙在顶点处B.甲在顶点处,乙不在顶点处C.甲乙都在顶点处D.甲乙都不在顶点处4.如果甲的身高或体重数至少有一项比乙大,则称甲不亚于乙.在100个小伙子中,若某人不亚于其他99人,我们就称他为棒小伙子,那么100个小伙子中,棒小伙子最多可能有A.1个B.2个C.50个D.100个5.已知反比例函数y=的图象上有两点A,B,且x1<x2,则y1﹣y2的值是A.正数B.负数C.非正数D.不能确定第1页6.把方程化为整式方程,得A.x2+3y2+6x﹣9=0 B.x2+3y2﹣6x﹣9=0 C.x2+y2﹣2x﹣3=0 D.x2+y2+2x﹣3=0 7.已知两圆的半径恰为方程2x2﹣5x+2=0的两根,圆心距为条.A.0 B.1 C.2 D.3 ,则这两个圆的外公切线有8.半径相等的圆的内接正三角形、正方形、正六边形的边长之比为A.1::B.::1 C.3:2:1 D.1:2:3 9.已a、b、c分别为△ABC中∠A、∠B、∠C的对边,若关于x的方程x2﹣2ax+c﹣b=0有两个相等的实根且sinB?cosA﹣cosB?sinA=0,则△ABC的形状为A.直角三角形B.等腰三角形C.等边三角形D.等腰直角三角形10.已知甲乙两组数据的平均数都是5,甲组数据的方差S2甲=则A.甲组数据比乙组数据的波动大B.乙组数据比甲组数据的波动大C.甲组数据与乙组数据的波动一样大D.甲乙两组数据的波动大小不能比较二.填空题11.如图,半圆的直径AB长为2,C,D是半圆上的两点,若动点P在直径AB 上,则CP+PD的最小值为.的度数为96°,的度数为36°,,乙组数据的方差S2乙=,12.已知正数a和b,有下列结论:若a=1,b=1,则≤1;若a=,b=,则;第2页若a=2,b=3,则≤;若a=1,b=5,则.根据以上几个命题所提供的信息,请猜想:若a=6,b=7,则ab≤.13.如果满足||x2﹣6x ﹣16|﹣10|=a的实数x恰有6个,那么实数a的值等于.14.如图,在矩形ABCD中,AB=5,BC=12,将矩形ABCD 沿对角线对折,然后放在桌面上,折叠后所成的图形覆盖桌面的面积是.15.5只猴子一起摘了1堆桃子,因太累了,它们决定,先睡一觉再分.过了不知多久,来了第一只猴子,它见别的猴子没来,便将这堆桃子平均分为5堆,结果还多1个,就把多余的这个吃了,取走自己应得的1份.又过了不知多久,来了第2只猴子,它不知道有1个同伴已经来过了,还以为自己是第1个到的,也将地上的桃子平均分为5堆,结果也多1个,就把多余的这个吃了,取走自己应得的1份.第3只,第4只,第5只猴子都是这样….则这5只猴子至少摘了个桃子.16.设二次函数y=ax2+bx+c 的图象经过、和三点,且满足y12=y22=y32=1,则这个二次函数的解析式是.17.方程x2﹣x+m2=0的两实根之和与积相等,则实数m的值是.18.一组数据35,35,36,36,37,38,38,38,39,40的极差是.19.如图所示,△ABC是⊙O 的内接三角形,AD⊥BC于D点,且AC=5,DC=3,AB=⊙O的直径等于.,则20.如图所示,一个大长方形被两条线段AB、CD 分成四个小长方形,其中长方形Ⅰ、Ⅱ、Ⅲ的面积分别是8、6、5,那么阴影部分的面积是:.第3页三.解答题21.如图,M、N、P分别为△ABC三边AB、BC、CA的中点,BP与MN、AN分别交于E、F.求证:BF=2FP;设△ABC的面积为S,求△NEF的面积.22.已知如图,A是⊙O的直径CB延长线上一点,BC=2AB,割线AF交⊙O于E、F,D 是OB的中点,且DE⊥AF,连接BE、DF.试判断BE与DF是否平行?请说明理;求AE:EC的值.23.如图所示,在△ABC中,∠A=90°,AD⊥BC于D.∠B的平分线分别与AD、AC交于E,F,H为EF的中点.求证:AH⊥EF;设△AHF、△BDE、△BAF的周长为cl、c2、c3.试证明:,并指出等号成立时第4页的值.24.小军与小玲共同发明了一种“字母棋”,进行比胜负的游戏.她们用四种字母做成10只棋子,其中A棋1只,B棋2只,C棋3只,D 棋4只.“字母棋”的游戏规则为:①游戏时两人各摸一只棋进行比赛称一轮比赛,先摸者摸出的棋不放回;②A棋胜B棋、C棋;B棋胜C棋、D棋;C棋胜D棋;D棋胜A棋;③相同棋子不分胜负.若小玲先摸,问小玲摸到C棋的概率是多少?已知小玲先摸到了C棋,小军在剩余的9只棋中随机摸一只,问这一轮中小玲胜小军的概率是多少?已知小玲先摸一只棋,小军在剩余的9只棋中随机摸一只,问这一轮中小玲希望摸到哪种棋胜小军的概率最大?25.初三班尚剩班费m元,拟为每位同学买1本相册.某批发兼零售文具店规定:购相册50本起可按批发价出售,少于50本则按零售价出售,批发价比零售价每本便宜2元,班长若为每位同学买1本,刚好用完m元;但若多买12本给任课教师,可按批发价结算,也恰好只要m元.单价为整数,问该班有多少名同学?每本相册的零售价是多少元?26.△ABC 中,AB=AC=2,∠BAC=90°,O是BC 的中点,小敏拿着含45°角的透明三角板,使45°角的顶点落在点O,三角板绕O点旋转.如图,当三角板的两边分别交AB、AC于点E、F时,求证:△BOE ∽△CFO;操作:将三角板绕点O旋转到图情形时,三角板的两边分别交BA 的延长线、边AC于E、F.①探索:△BOE 与△CFO还相似吗?:连接EF,△BOE 与△OFE是否相似?请说明理.②设EF=x,△EOF的面积是S,写出S与x 的函数关系式.第5页第6页。
江苏省启东中学九年级化学普通高中提前招生试题一、选择题1.除去下列杂质,所选用的试剂和操作方法不合理的是( )选项物质杂质试剂操作方法A KNO3NaCl热水溶解,降温结晶,过滤B KCl K2CO3盐酸加入过量的盐酸,蒸发C Cu Fe2O3碳粉与过量的碳粉混合,加热到高温D O2CO铜将混合气体缓缓通过足量的灼热铜网A.A B.B C.C D.D2.区别生活中常见的物品,其中有两种方法都正确的是( )选项需鉴别物质所加试剂或方法方法1方法2A厕所清洁剂与厨房洗涤剂加入石灰石加水看是否放热B NH4NO3氮肥和K2SO4钾肥加Ca(OH)2研磨并闻气味加水触摸烧杯C苏打和小苏打加水,观察能否溶解加入稀HClD羊毛织品和尼龙织品触摸纺织品抽丝灼烧观察A.A B.B C.C D.D3.在AlCl3溶液中逐滴加入NaOH溶液至过量,发生如下反应:3NaOH+AlCl3=Al(OH)3↓+3NaCl, Al(OH)3+NaOH=NaAlO2+2H2O。
已知NaAlO2易溶于水,则下列图像不正确的是( )A.B.C.D.4.有一包固体粉末,可能含碳、铝、铜、氧化铝、氧化铜中的一种或几种。
为探究该固体粉末的组成,某化学兴趣小组进行了如下图所示实验。
下列结论正确的个数是①固体B中的物质为碳②蓝色溶液乙为硝酸铜溶液③原固体样品中一定含有的物质是碳、铝、铜④蓝色溶液丙中一定含有的溶质是硝酸铝、硝酸铜、硝酸A.1个B.2个C.3个D.4个5.向盛有一定质量MgO和MgCO3混合物的烧杯中加入142 g稀盐酸,恰好完全反应,一定温度下,得到150 g不饱和溶液。
下列数据中,与该溶液的溶质质量分数最接近的是A.5.3%B.5.6%C.12.7%D.13.4%6.甲、乙、丙、丁均为初中化学常见的物质,它们之间的部分转化关系如图所示(部分反应物、生成物和反应条件已略去。
“——”表示物质之间能发生化学反应。
“―→”表示物质之间的转化关系)。
江苏省启东中学九年级物理普通高中提前招生试题一、选择题1.下列关于声现象的说法中错误的是( )A .声音是由物体的振动产生的B .“低声细语”中的“低”描述的是声音的音调C .超声波清洗机是利用声波传递能量D .将要上钩的鱼会被岸上的说话声或脚步声吓跑,是因为水能传播声音2.超市的服装贴有磁性标签,未消磁的标签通过超市安检门时,安检门上的线圈会产生电流,触发报警器达到防盗目的.则安检门的工作原理是A .磁极间的相互作用B .通电导体周围存在磁场C .电磁感应D .磁场对通电导体的作用3.如图甲,小球从某高度处由静止下落到竖直放置的轻质弹簧上并压缩弹簧,已知小球从a 处开始接触弹簧,压缩至c 处时弹簧最短。
从a 至c 处的过程中,小球的速度ν和弹簧被压缩的长度ΔL 之间的关系如图乙,且在整个过程中弹簧始终发生弹性形变,则从a 至c 处的过程中(不计空气阻力),下列说法中正确的是( )A .小球的惯性不断减小B .小球到达b 处时,其所受的合力不为零C .弹簧的弹性势能不断增大D .小球所受的重力始终大于弹簧产生的弹力4.如图所示,粗糙的弧形轨道竖直固定于水平面上,小球由A 点以速度v 沿轨道滚下,经过另一侧高点B 后到达最高点C .下列分析不正确的是( )A .小球在A 、B 、C 三点的速度大小关系是C B A v v v <<B .小球在A 、B 两点的动能之差等于小球从A 点到B 点克服摩擦力做的功C .小球在A 、B 两点具有的重力势能相同D .整个过程只有重力对小球做功5.小明在探究“平面镜成像”和“凸透镜成像”两个实验中,分别把一个不透明的木板放在如图甲、乙所示的位置,以下说法错误的是( )A.甲图中,蜡烛能成像且人能看到像B.乙图中,蜡烛能成像且人能看到像C.甲图中,取走木板,将蜡烛远离平面镜,镜中的像变大D.乙图中,取走木板,蜡烛靠近凸透镜,所成的像变小6.无线电充是一种增加手机续航时间的方式,无线电充的技术原理:电流流过充电座的“送电线圈”产生磁场,当手机中的“受电线圈”靠近该磁场时就会产生感应电流,从而给手机电池充电,如图所示。
2006年江苏省启东中学高一物理提前招生考试试卷(分值80分 考试时间60分钟)一.选择题(每小题3分,共30分。
每小题有一个或几个选项符合题意,错选得0分,漏选得1分。
将正确答案填入下列表格内)A .α粒子是带正电的氦原子核B .β粒子是来自核外的电子流C .γ射线穿透力很强,因为它带的电荷数比α、β粒子带电荷数多D .放射性现象提示了原子的结构是复杂的2.冷水的质量为m ,温度为t 1,吸收 一定热量后,温度升高到t ,另有质量为2m 的热水,如果它放出同样的热量后温度降到t A .(3t 1-t)/2 B .(2t-t 1)/3 C .(3t-t 1)/2 D .3(3t-2t 1)3.如图MNP 是一全反射棱镜,眼睛从这个全反射棱镜中看到物体AB 的 像的情况是A .像与边MN 垂直B .像是倒立的虚像C .像与边MN 平行D .像是倒立的实像4.如图所示,在一个金属圆环中有一个可以绕轴OO /匀速转动的条形磁铁,当磁铁旋转时,下列说法正确的是 A .金属环中有感应电流B .因金属环不动,故环中无感应电流C .金属环中有感应电流,且是交流电D .金属环中有感应电流,且是直流电5.原来做匀速运动的升降机内,有一被伸长弹簧拉住的、具有一定质量的 物体A ,静止在地板上,如图所示,现发现A 突然被弹簧拉向右方,由 此可判断,此升降机的运动可能是A .加速上升B .减速上升C .加速下降D .减速下降 6.如图所示,A 是一质量为M 的盒子,B 的质量为1/2M ,用细绳相连,跨 过光滑的定滑轮,A 置于倾角为θ的斜面上,B 悬于斜面之外,处于静止 状态,现在向A 中缓慢地加入沙子,整个系统始终保持静止,则在加入 沙子的过程中A .绳子中拉力逐渐减小B .A 对斜面的压力逐渐增大C .A 所受的摩擦力逐渐增大D .A 所受的摩擦力先增大后减小 7.关于牛顿第一定律的下列说法中正确的是A .牛顿第一定律是实验定律B .牛顿第一定律说明力是改变物体运动状态的原因C .惯性定律与惯性的实质是相同的D .物体的运动不需要力来维持8.一根电阻丝在通过2 C 的电量时,消耗的电能是8 J ,若在相同的时间内通过4 C 的电量,则该电阻丝两端所加电压U 和该电阻丝在这段时间内消耗的电能W 分别为 A .U=4V B .U=8V C .W=16 J D .W=32 J9.金属铂的电阻对温度的高低比较“敏感”,如图所示的U -I 图中可能表示金属铂电阻的U -I 图线的是A B10.将阻值相等的电阻R1、R2串联起来接在电压恒定的电路中,保持R1的温度不变,对R2加热或冷却,R2消耗的电功率的变化情况是A.加热时变大,冷却时变小B.加热时变小,冷却时变大C.加热、冷却时均变小D.加热、冷却时均变大二.填空、实验题(共16分)11.如图所示,在被支起的水平木板上放一条形磁铁,在磁铁中央正上方不远处,垂直于纸面放置一根直导线,此时条形磁铁对木板的压力为N,当直导线中通以较强的垂直于纸面向里的电流时,条形磁铁对木板的压力为N’,则N’_______N。
江苏省启东中学九年级数学试卷姓名 考号一、选择题(本大题共10个小题;每小题4分,共40分.在每小题给出的四个选项中,只有一项是符合题目要求的)1.函数3-=x y 中,自变量 x 的取值范围是( )(A )x >3 (B )x ≥3 (C )x >-3 (D )x ≥-32.在Rt ABC △中,若90C ∠=,1AC =,2BC =,则下列结论中正确的是( )(A)sin B =(B) 2cos 5B =(C)tan 2B =(D)1cot 2B =3.如图,已知DE∥BC,CD与BE相交于点O,并且S⊿DOE:S⊿COB=4:9, 则AE:AC=( ) (A)4:9 (B)2:3 (C)3:2 (D)9:44.如图:将一个矩形纸片ABCD ,沿着BE 折叠,使C 、D 点分别落在点11,C D 处.若150C BA ∠= ,则ABE ∠的度数为( )(A)15(B) 20(C) 25(D) 305.由6个大小相同的正方形搭成的几何体如图所示,则关于它的视图说法正确的是( ) (A)正视图的面积最大 (B) 左视图的面积最大(C) 俯视图的面积最大 (D) 三个视图的面积最大6.方程2221x x x ++=的正数根...的个数为( ) (A) 0 (B) 1 (C) 2 (D) 37.如图,正方形OABC ADEF ,的顶点A D C ,,在坐标轴上,点F 在AB 上,点B E ,在函数xy 4=(x >0)的图象上,则点E 的坐标是( ) (A)()15,15-+ (B)()53,53-+ (C)()15,15+- (D) ()53,53+-8.观察下列正方形的四个顶点所标的数字规律, 那么2009这个数标在( )ABC D E Ox(A)第502个正方形的左下角 (B) 第502个正方形的右下角 (C) 第503个正方形的左下角 (D) 第503个正方形的右下角9. 用12根等长的火柴棒拼三角形(全部用上,不可折断、重叠),不可以拼成的是( ) (A)等腰三角形 (B)等边三角形 (C)直角三角形 (D)不等边三角形10.100人共有2000元人民币,其中任意10人的钱数的和不超过380元。
重点高中提前招生模拟考试物理试卷(1) (2)重点高中提前招生模拟考试物理试卷(2) (49)重点高中提前招生模拟考试物理试卷(3) (88)重点高中提前招生模拟考试物理试卷(4) (126)重点高中提前招生模拟考试物理试卷(5) (167)重点高中提前招生模拟考试物理试卷(6) (204)绝密★启用前重点高中提前招生模拟考试物理试卷(1)学校:___________姓名:___________班级:___________考号:___________注意事项:1.答题前填写好自己的姓名、班级、考号等信息2.请将答案正确填写在答题卡上第Ⅰ卷(选择题)一.选择题(共10小题,满分20分,每小题2分)1.(2分)如图所示,一个小物体沿光滑斜面由A点上方从静止开始下滑,在它通过的路径AE分成相等的四段,v1、v2分别表示通过AB段、BC段的平均速度,v表示BE段的平均速度,则v1、v2与v的关系是()A.v1<v2<v B.v1=v2<v C.v1=v2>v D.v1<v<v2 2.(2分)养鱼的水族箱里在安装“循环、过滤、加氧三合一”水泵,水泵,如图所示。
水泵工作时,水从管甲处吸入,在管乙处快速喷出,而管乙侧壁上有孔通过软塑料管丙与外部空气相通。
从管乙处喷出的水流中,就混有大量气泡,增加水中氧气含量。
关于这一生活中的现象,下列说法正确的是()A.管乙内水的流速大,压强大B.大气压强大于管乙内液体压强,空气被压入水流C.气泡在水中上升的过程中,气泡内部压强不变D.气泡在水中上升的过程中,气泡所受浮力不变3.(2分)小明同学家住5楼一天,他提着装有30个鸡蛋的塑料袋从1楼走到家里,在此过程中,下列估算不合理的是()A.他提鸡蛋的力做的功约为200 JB.他提鸡蛋的力做功的功率约为3WC.他爬楼做的功约为6×102 JD.他爬楼做功的功率约为1×102 W4.(2分)我国的民谚、俗语和诗词中往往蕴含着丰富的物理知识。
江苏省启东中学九年级化学普通高中提前招生试题一、选择题1.某同学欲从量筒中倒出部分液体,他先俯视量筒内液体凹液面最低处读数为30ml,倒出部分液体后,又仰视液体凹液面最低处读数为14ml,则他实际倒出液体的体积( ) A.等于16ml B.大于16ml C.小于16ml D.不能确定2.实验小组将未打磨的铝片和稀盐酸放入密闭容器中,用传感器探究反应过程中温度和压强的变化,结果如下图。
下列说法不正确的A.反应过程中有热量放出B.50s时,溶液中溶质为A1Cl3C.0-50s,发生稀盐酸与A12O3的反应D.100s-140s,压强减小是因为温度降低3.图1中甲、乙、丙、丁表示相邻两物质相互混合过程中溶液酸碱度的变化,其中可能符合图2所示变化关系的是()A.甲B.乙C.丙D.丁4.除去下列物质中所含杂质(括号内为杂质),所选用试剂及操作方法均正确的一组是A.A B.B C.C D.D5.下列鉴别两种不同物质的方法,不正确的是()A.A B.B C.C D.D6.除去下列各物质中的少量杂质,所选用的试剂、方法能达到目的的是D KC1溶液K2SO4溶液Ba(NO3)2溶液加入适量Ba(NO3)2溶液,过滤A.A B.B C.C D.D7.下列实验方法不能达到实验目的的是选项实验目的实验方法A 证明NaOH溶液中含有Na2CO3滴加无色酚酞试剂B除去CO2中少量CO将混合气体通过足量灼热的CuO C鉴别石灰水和NaOH溶液加入适量的碳酸钠溶液D 比较Fe、Cu、Ag的金属活动性将Fe和Ag分别放入CuSO4溶液中A.A B.B C.C D.D8.下列图像不能正确反映对应变化关系的是A.向等质量的氧化钙、氢氧化钙中分别加入等质量分数的稀盐酸至过量B.向一定质量氯化亚铁和氯化铝的混合溶液中加入镁粉至过量C.向盐酸和氯化钙的混合溶液中逐滴加入纯碱溶液至过量D.向等质量的镁、铝中分别加入等质量分数的稀硫酸至过童9.下列实验操作中不能达到实验目的的是选项实验目的实验操作A鉴别NaCl和NH4NO3固体分别加少量水溶解B鉴别NaOH溶液和澄清石灰水分别通入二氧化碳C除去ZnSO4溶液中混有的少量CuSO4加入足量的锌粉,充分反应后过滤D除去K2SO4溶液中混有的少量KOH加入适量的稀盐酸A.A B.B C.C D.D10.向一定量Ba(OH)2溶液中逐渐加入CuSO4溶液至过量。
2006年江苏省启东中学高一提前招生考试试卷英语命题人:龚辉(分值100分考试时间90分钟)(注意: 1~75题的答案必须写在第10页的答案纸上)I. 单项填空(共20题,每题1分,共20分)A)情景交际1. —Now, where is my purse?—_________! We’ll be late for the picnic.A. Take your timeB. Don’t worryC. Take it easyD. Come on2.—You couldn’t have chosen any gift better for me.—_______.A. I’m glad you like it so muchB. That’s all rightC. Oh, don’t you like it?D. Sorry, I’ll choose a better one next time3.—Micky!—________, Mum?—Come and help me move the table out.A. WhatB. RightC. YesD. Pardon4.—Do you mind if I turned the TV down?—________.A. Yes, I don’t mindB. No, go right aheadC. Yes, please turn it downD. Don’t worry. You’ll get used to it soon5. —She didn’t come to school yesterday, did she?—__________, though she was not feeling very well.A. No, she didn’tB. Yes, she didn’tC. No, she didD. Yes, she didB)语言知识6. Suzhou is ______ most beautiful tourist city and I believe I’ll come for _____ second time.A. the; aB. a; aC. the; theD. a; the7. —Have you heard today’s weather forecast?—Yes. Better weather is ______. We can expect an outing.A. in the wayB. by the wayC. on the wayD. in this way8. —Can I tell my best friend about it?—No, I don’t want anyone else to know it. You _______ keep it to yourself.A. mustB. needC. canD. may9. Is this school __________ you visited last month?A. whereB. the one whereC. thatD. the one10. When I handed the report to Peter, he said that David was the right person ________.A. to send it toB. to sendC. to be sentD. for sending11.—I wonder if she _____ to the ball.—She is sure to come if she ____ time tonight.A. comes; hasB. will come; will haveC. comes; will haveD. will come; has12. Oxford, as we know, ________ is one of the best universities in the world.A. thatB. /C. itD. this13. Studying abroad is quite different from life in China. It took me nearly half a year to ____the language problem and culture shock.A. turn overB. look overC. get overD. go over14. —What’s the best way of losing weight?—_________A. Why not playing games?B. Why don’t you play games?C. I advise you to playing games?D. You’d better to play games?15. Yesterday we had a lecture given by a _________ teacher.A. well-mannered young schoolB. young well-mannered schoolC. well-mannered school youngD. school well-mannered young16. They asked me to have a drink with them. I said that it was at least ten years since I _______a good drink.A. had enjoyedB. was enjoyingC. have enjoyedD. have been enjoying17.—Thank you for the great trouble you have taken _____ me with my English?—Think nothing of it!A. with helpingB. to helpC. in helpingD. helping18. Unluckily, he was soon told ______ he discovered was unimportant to them.A. what whyB. that whyC. what thatD. why what19.—How can I wake up so early?—Set the alarm clock, _________ you will make it.A. ButB. orC. andD. so20. When I dropped in, Dr Smith _____, so we only had time for a few words.A. just leftB. was just leavingC. has just leftD. had just leftII. 完形填空(共15题,每题1分,共15分)Mr. and Mrs Smith’s house was full of suitcases, packages and packed-up boxes. The two of them were 21 with pencils and paper, checking their luggage, when there was a 22 at the door. Mr. Smith went to 23 it and saw a well-dressed middle-aged lady outside. The lady said that she lived in the house beside theirs, and that she had come to 24 them to their new home.The Smiths invited her in after apologizing for the state of the house.“Oh, 25 ,” she answered. “Do you know in some parts of this 26 neighbours are not all 27 ? There are some streets where people do not 28 their neighbours, 29 their next-door ones. But in this street everybody is friends with 30 else. We are one big, happy family. I’m 31 that you will be 32 here.”The well-dressed lady got a 33 when she came to visit the house the 34 time, because she found a quite 35 man and woman in it. Mr. and Mrs Smith had not had thecourage to tell her that they were not the new owners of the house, who were to move in the next day, but the old ones, who have lived beside her for two years without ever having visited her or even noticing her existence (存在).21. A. free B. busy C. pleased D. familiar (熟悉的)22. A. sound B. ring C. friend D. message23. A. answer B. serve C. see D. guess24. A. invite B. lead C. take D. welcome25. A. excuse me B. here you are C. never mind D. thank you26. A. house B. street C. town D. time27. A. busy B. lonely C. safe D. friendly28. A. know B. understand C. welcome D. respect29. A. only B. even C. mostly D. neither30. A. anybody B. nobody C. somebody D. none31. A. uncertain B. glad C. sure D. afraid32. A. happy B. lonely C. popular D. friendly33. A. surprise B. fright C. pleasure D. worry34. A. first B. exact C. next D. same35. A. famous B. different C. young D. oldIII. 阅读理解(共20题,每题2分,共40分)(A)Do you feel a littl e sleepy after lunch? Well, that’s normal. Your body naturally slows down then. What should you do about it? Don’t reach for a coffee! Instead, take a nap.There are many benefits (好处) of a daily nap. First of all, you are more efficient (有效率) after napping. You remember things better and make fewer mistakes. Also, you can learn things more easily after taking a nap. A 20-minute nap can reduce information overload. It can also reduce stress. Finally, a nap may increase your self-confidence and make you more alert (灵活). It may even cheer you up.But, there are some simple rules you should follow about taking a nap. First, take a nap in the middle of the day, about eight hours after you wake up. Otherwise, you may disturb your sleep-wake pattern. Next, a 20-minute nap is best. If you sleep longer, you may fall into a deep sleep. After waking from a deep sleep, you will feel worse. Also, you should set an alarm clock. That way, you can fully relax during your nap. You won’t have to keep looking at the clock so that you don’t oversleep.Now, the next time you feel sleepy after lunch, don’t get stressed. Put your head down, close your eyes, and have forty winks.36. What is a good rule for taking a nap?A. Use an alarm clock.B. Nap eight hours after waking up.C. Sleep for about half an hour.D. All of the above37. According to the passage, what is NOT a benefit of napping?A. It makes you strongerB. It makes you feel happierC. It gives you more self-confidenceD. It improves your memory38. Which may happen if an alarm clock is not used?A. You may relax more.B. You may feel too nervous to relax.C. You may forget an important meeting.D. You may not reduce your napping time.39. In the last paragraph, “have forty winks” can be replaced by “________”.A. do eye-protection exercisesB. close your eyes for forty timesC. have a short sleep during the daytimeD. pretend to have a quick nap after lunch(B)Do you think animals can predict (预报) the weather or other natural events? Farmers living in the countryside think so. For hundreds of years, they have observed animals. They think animals’ behavior (行为) can be connected to future weather conditions or events. For example, if swans fly into the wind, a hurricane is coming. Or, if cows lie down, a rainstorm is coming. There are many traditional stories connecting animals and natural events. Many people think that these stories are just folklore, traditional stories and beliefs without scientific evidence (证据). Scientists, however, are beginning to take another look at some of these ideas.Kiyoshi Shimamura is a Japanese earthquake researcher. He noticed an increase in dog bites a short time before earthquakes hit. Then, he did an investigation (调查) of twelve public health centers in Kobe, Japan. These health centers treated people after the 1995 earthquake. He noticed some interesting information about the month before the big earthquake. Treatment for animal bites had increased. In fact, aggressive (冒犯的;侵略的) behavior in dogs, such as biting and barking loudly, jumped (猛增) 60 percent!People noticed other changes in animal behavior before the earthquake as well. For example, fish began swimming together in large groups, only in the middle of the water and not near the edges. Also, birds flew away from their nests for many days, leaving their eggs unprotected. The animal behavior suggests that animals may be able to predict natural events better than people.40. What is the main idea of the passage?A. What animals do during earthquakesB. Many earthquakes of JapanC. Effect (影响) of natural events on animals’ actionsD. Folklore and other stories about animals41. How do dogs begin to behave just before an earthquake?A. They lie down in grass.B. They stay together in large groups.C. They leave their homes.D. They hurt people.42. What other animals behave strangely before an earthquake?A. PigsB. BirdsC. CowsD. All of the above43. What did Kiyoshi Shimamura look at during his investigation?A. Animal clinics treating dogsB. The number of patients with bitesC. The number of earthquakes a yearD. Places dogs go during earthquakes(C)My first performance (表演) in front of an audience was coming up soon.I tried as hard as I could to remain calm, but my heart was racing. I stared down at my sweat-covered, shaking hands.I looked up again at the audience, realizing that these were real people. They were not just my mum and dad, who would say, “Good job!” even if I messed up the entire piece.What if I had the wrong music? What if I played the wrong notes?As it turned out, I was never able to answer these questions because the spotlight (聚光灯) was waiting for me. I grasped my hands tightly together, drying off the sweat.Slowly I walked to the mud-brown piano in the center of the room. It contained 88 demanding keys, which were waiting impatiently to be played. I swallowed the golf-ball-sized lump (隆起部分) in my throat and sat down. Slowly, I opened the music. Next, I rested my still shaking hands on the ivory (象牙色的) keys.As my fingers played across the keys, I was becoming more unsure of my preparation for this moment. But the memory of my years of training came flooding back. I knew that I had practised this piece so many times that I could play it backwards if requested.Although at one point I accidentally played two keys instead of the intended one, I continued to move my fingers automatically (自动地).My eyes burned holes into (were fixed on) the pages in front of me.There was no way that I was going to lose my concentration. To keep this to myself, I leaned forward and focused carefully on the music.When I came to the end of the page, a warning went off inside my head: DON’T MAKE A MISTAKE WHEN YOU TURN THE PAGE!Needless to say, I obeyed myself with all my heart and mind. And, proud of my “page-turning” feat (技艺), I finished the rest of the piece without making a single mistake.After the final note died away, a celebration went into action inside my head. I had finished.I had mastered the impossible.44. The author was nervous before the performance because _______.A. her mother and father weren’t presentB. the strong spotlight was shining onto the stageC. she hadn’t mastered the entire pieceD. she had never performed in public before45. The underlined phrase “mess up” in Paragraph 3 probably means ________.A. put into disorderB. forget aboutC. stop halfwayD. do well in46. The author _________.A. didn’t make any mistake in the performanceB. felt better at the beginning of the performanceC. paid all attention to nothing but her performanceD. lost her concentration (注意力) sometimes during the performance47. What did the author feel about her performance?A. She thought it was comfortable and successful.B. She thought it was very difficult but successful.C. She thought she had never made a mistake during the performance.D. She thought she played through the piece carefully but light-heartedly.(D)For Chinese, it’s time for dragon boat racing and Zongzi. But in South Korea, wrestling and swing play are the highlights. However, both events go by the same name — the Dragon Boat Festival. It falls on May 5th of the lunar calendar.One festival, two cultures. Does one nation have the right to call it its own? It has beenreported that South Korea will ask the United Nations Educational, Social and Cultural Organization (UNESCO联合国教科文组织) to make the celebration its cultural heritage (文化遗产). If successful, people from other countries may see the Dragon Boat Festival as a Korean creation.As the birthplace of the yearly event more than 2,000 years ago, China is not happy with the situation (情况). “It would be a shame if another country successfully made a traditional Chinese festival part of its own cultural heritage before China,”said Zhou Heping, deputy cultural minister. The Ministry of Culture is even thinking of making its own application (申请) to UNESCO, covering all traditional Chinese festivals, including the Dragon Boat event.“I don’t like some of the food eaten at the festival, but I am shocked by South Korea’s move,” said Jin Yutong, a Senior One student. “We should protect the cultural heritage left by our ancestors (祖先).”It is thought that the festival is held in memory of the great poet Qu Yuan (340-278BC), who lived in the State of Chu during the Warring States Period. Qu was known to be a patriot (爱国者) and admired by ordinary people. He is said to have jumped into Miluo River, because he had lost hope in his country’s future. When people heard about Qu’s death, they sailed up and down the river searching for his body. They also beat the drums to fright away fish and threw Zongzi into water. These were supposed to stop the fish from touching Qu. Dragon boat racing is said to have come from the search for the poet’s body.Over the years, the Dragon Boat Festival has spread throughout the world. In Japan and Vietnam, as well as South Korea, the festival has mixed together with, and become part of the local culture.With this in mind, some experts say that it is meaningless to argue (争论) about which country the festival belongs. “Everyone can say that it came from China,” said Long Haiqing, an expert from Hunan Province. “But if the whole nation can protect the culture heritage together, they will all benefit.”48. Which of the following country is NOT mentioned about the Dragon Boat Festivalspreading?A. JapanB. VietnamC. South KoreaD. the United States49. From the passage, we can see Chinese people’s attitude (态度) toward the Dragon BoatFestival is that ______________.A. they do not like itB. they want to protect it because it is their cultural heritageC. it is a shame to protect itD. they won’t agree South Korea takes it as its own festival50. Racing boats to celebrate the festival comes from the story that ___________.A. people searched for Qu Y uan’s body by boatB. people searched for Qu Yuan’s boatC. Qu Yuan enjoyed boatingD. Qu Yuan liked building boats51. What can we infer (推断) from the last two paragraphs?A. The festival is celebrated in the same way all over the world.B. It matters a lot whose cultural heritage the festival is.C. It is good for the Chinese people to protect the cultural heritage.D. South Korea does not recognize that the festival is from China.(E)One evening after dinner, Mr. and Mrs. William called a family meeting. “We’ve had to make a difficult decision.” Mr. William announced. “You see, your mother has bee n offered a post as co-director of a television in Chicago. Unluckily, the station is not here. After thinking long and hard about it, we’ve concluded (下结论) that the right decision is to move to Chicago.”Peter looked shocked, while his sister Amy breathlessly started asking when they’d be moving: “It’s surprising, but exciting!”she said. Peter simply said, “We can’t go —I can’t leave all my friends. I’d rather stay here and live with Tommy!”Mr. and Mrs. William hoped that by the time they moved in August, Peter would grow more accustomed (习惯) to the idea of leaving. However, he showed no signs of accepting the news, refusing to pack his belongings (物品).When the morning of the move arrived, Peter was nowhere to be found. His parents called Tommy’s house, but Tommy’s mother said she hadn’t seen Peter. Mrs. William became increasingly worried, while her husband felt angry with their son for behaving so irresponsibly (不负责任).What they didn’t know was that Peter had started walking over to Tommy’s house, with a faint idea of hiding in Tommy’s attic (阁楼) for a few days. But something happened on the way as Peter walked past all the familiar landscape of the neighborhood: the fence that he and his mother painted, the tree that he and his sister used to climb, the park where he and his father often took evening walks together. How much would these mean without his family, who make them special in the first place? Peter didn’t take the time to answer that question but instead hurried back to his house, wondering if there were any moving cartons (纸板箱) the right size to hold his record collection.52. The conflict (分歧) in this story was caused by ________.A. Peter and Amy’s different tempers (脾气)B. a quarrel (争吵) between Tommy and PeterC. Peter’s disagreement with his parents about their moveD. Mr. and Mrs. William’s words of Peter’s irresponsibility53. Peter and Amy were both _________ after hearing the move.A. surprisedB. angry and worriedC. anxious for more detailsD. worried about packing54. The reason for Peter’s going home was that _______.A. he did not want to be left behindB. he realized his family was essential (重要的) with himC. he hoped to reach an agreement with his parentsD. He wished to be a more responsible person55. What would more probably happen next?A. Peter would bring his records over to the Tommy’s house.B. Mr. and Mrs. William would call the police.C. Peter would join his family for house moving.D. Mr. and Mrs. William would start searching for Peter.IV. 词汇运用(共10题,每题0.5分,共5分)根据句意或首字母提示,在下列各句横线上填上所缺的单词。
2000年江苏省启东中学高一提前招生
数 学 试 卷
(满分120分,时间120分钟)
一、填空(1-5题每题2分,6-10题每题3分,共25分)
1. 已知函数32
)1(--+=k k x k y 是反比例函数,则k=
2. 一次函数y=ax+4(a 为常数),当x 增加2时,y 的值减少了3,则a=
3. 已知m 、n 满足013,0132
2
=--=--n n m m ,则
n
m
m n +的值等于 4. 如果x 的不等式组⎪⎩⎪⎨⎧>-<-0
20
121x a x 的解集是x<2,那么a 的取值
范围是
5. △ABC 中,AB=5,中线AD=7,则AC 边的取值范围是
6. 如图1,△ABC 中,AB=AC ,高AD 、BE 相交于点H ,AH=8,DH=1,则tgC 的值是
7. 如果菱形有一个角是45︒,且边长是2,那么这个菱形两条对
角线的乘积等于
8. 如图2,AB 是圆O 的直径,弦CD ⊥AB 于E ,P 是BA 延长线上一点,连结PC 交圆O 于F ,若PF=7,FC=13,PA :AE :EB=2:4:1,则CD 长为
9. AB 是圆O 的直径,以AB 为底的圆O 的内接梯形对角线
交点的轨迹是
10. 已知圆O 的直径AB=2cm ,过A 点的两弦
AC=2cm ,AD=3cm ,则∠CAD 所夹圆内部分的面积是 cm 2
二、选择题:(11-15每小题2分,16-20每小题3分,共25分)
11. 如果关于x 的方程012)1(2
=-+++m mx x m 有实数根,则 ( ) A 、m ≠1 B 、m= -1 C 、m ≠±1 D 、m 为全体实数
12. 下列方程中,有实数解的是 ( ) A 、041=++
-x x B 、11522=-++x x
C 、341=+++x x
D 、4327--=-x x
图1
C
15. 如图半径为R 和r(R>r)的圆O1与圆O2相交,公切线AB 与连心线的夹角为30︒,则公切线AB 的长为 ( )
A 、)(2
1
r R - B 、)(33r R - C 、)(3r R - D 、 )(2r R -
16. 如图在△ABC 中,P 、Q 分别是BC 、
AC 上的点,作PR ⊥AB ,PS ⊥AC ,垂足分别是R 、S ,若AQ=PQ ,PR=PS ,下面三个结论① AS=AR ②PQ ∥AB ③ △BRP ≌△CSP ,
其中正确的是 ( )
A 、① ②
B 、② ③
C 、① ③
D 、① ② ③
17. 下列命题:
① 若a>b>0,则以b a b a ab +-,,2为三边的
三角形是直角三角形;② 用长为4、5、7、8的四条线段作边,其中以5、8作底可以作梯形;③ 等边三
角形是轴对称图形,但不是中心对称图形;④ 有两边和第三边上的高对应相等的两个三角形全等。
其中假命题的个数是 ( ) A 、1个 B 、2个 C 、3个 D 、4个
18. 在锐角△ABC 中,a 、b 、c 分别表示为∠A 、∠B 、∠C 的对边,O 为其外心,则O 点到三边的距离之比为 ( ) A 、a :b :c B 、
c
b a 1
:1:1 C 、cosA :cosB :cosC D 、sinA :sinB :sinC 19. 用三块正多边形的木块铺地,拼在一起相交于一点的各边完全吻合,设它们的边数为m 、n 、p ,则 ( ) A 、
1111=++p n m B 、21111=++p n m C 、p n m 111=+ D 、p
n m 211=+ 20. 商场的自动扶梯在匀速上升,一男孩与一女孩在这自动扶梯上往上爬,已知男孩往上爬的速度是女孩往上爬的速度的2倍,男孩爬了27级到楼上,女孩爬18级到楼上,则从楼下到楼上自动扶梯的级数是 ( ) A 、108 B 、54 C 、45 D 、36
三、计算与证明:(21、22每小题5分,23、24每小题6分,共22分)
21. 已知(
)
1
112,)12(--+=
-=y x ,求
y
x y x xy y x y y xy x y x y x 3222
24422+--+
+--+的值
第16题图
22. 已知:()()
11102=++a ,求2
1
21112
-++--+a a a a 的值
23. 如图A 、B 两个村子在河CD 的同侧,A 、B 两村到河的距离分别为AC=1千米,BD=3千米,且知道CD=3千米,现在要在河边CD 上建一水厂,向A 、B 两村送自来水,铺设管道费用为每千米2000元,请你
在CD 上选择水厂位置O ,使铺设管道的费用
最省,并求出其费用。
24. 如图在平行四边形ABCD 中,对角线AC 、BD 相交于O ,BD=2AD ,E 、F 、G 分别为OC 、OD 、AB 的中点,求证:(1) BE ⊥AC (2) EG=EF
五、解答与证明(25、26每题8分,27、28每题10分,29题12分,共48分)
25. 已知关于x 的方程02sin 992
=--A x x 的两根的平方和是1,其中∠A 为锐角三角形ABC 的一个内角。
① 求sinA 的值。
② 若△ABC 的两边长x 、y 满足方程
组⎩
⎨⎧++==+134
62
m m xy y x (m 为实数),求△ABC 的第三边。
G
D
26. 现有24个劳力和1000亩鱼塘可供对虾、大黄鱼、蛏子养殖,所需劳力与每十亩
(1) 用x 的式子分别表示y 、z 。
(2) 问如何安排劳力与养殖亩数收益最大?
27. 已知ABCD 四点共圆,AB 与DC 相交于点E ,AD 与BC 交于F ,∠E 的平分线EX 与∠F 的平分线FX 交于X ,M 、N 分别是AC 与BD 的中点,求证:(1) FX ⊥EX ,(2) FX 、EX 分别平分∠MFN 与∠MEN 。
28. 已知抛物线()()1342
-+---=m x m x y 与x 轴交于A 、B 两点,与y 轴交于C 点。
(1) 求m 的取值范围;(2) 若m ≤
0,直线y=kx-1,经过点A ,与y 轴交于点D ,且AD ×BD=25,求抛物线的解析式。
(3) 若点A 在点B 的左边,在第一象限内,(2)中所得抛物线上是否存在一点P ,使直线PA 平分△ACD 的面积?若存在,求出P 点坐标,若不存在,请说明理由。
29. 已知关于x 的方程()()p x p x p x 6021442772
3
=+-++- (*)
① 求证:不论p 为何实数时,方程(*)有固定的自然数解,并求这自然数。
② 设方程另外的两个根为u 、v ,求u 、v 的关系式。
③ 若方程(*)的三个根均为自然数,求p 的值。