2009年成外择校题

成都实验外国语语学校2009年高中招生考试数学试卷（满分：150分 考试时间：120分钟） 第一卷 （选择题，共50分）一、选择题（共50分）1、如果有一个正方体，它的展开图可能是下面四个展开图中的（ ）A B C D2、已知20092008,20092009,20091010a x b x c x =+=+=+，则多项式222a b c ab bc ca ++---的值为（ ）A 、0B 、1C 、2D 、33、在ABC ∆中，3条高线,,AD BE CF 相交于O 点，且OA BC =,则tan FAC ∠的值为（ ）A 、12B 、3、14、已知3x π=-，则1234111213x x x x x x x +-+++-++++-+++等于（ ）A 、5B 、7C 、53π-D 、53π+5、在ABC ∆中，120,BAC P ∠=︒是ABC ∆内一点，则（ ）A 、PA PB PC AB AC ++<+ B 、PA PB PC AB AC ++>+ C 、PA PB PC AB AC ++=+D 、不能确定，与点P 的位置有关6、若实数,x y ，满足：22260x x y -+=，则222x y x ++的最大值是（ ） A 、17 B 、16 C 、15 D 、147、在梯形ABCD 中，,30,60,,,,AD BC B C E M F N ∠=︒∠=︒分别为,,,AB BC CD DA 的中点，已知7BC =，3MN =，则线段EF 的长为（ ） A 、2 B 、3 C 、4 D 、58、对任何实数,x y 是由12341,1,42y x y x y x =+=+=-三个函数中最小值组成的函数，那么y 的最大值为（ ） A 、83 B 、73 C 、52D 、39、方程()2271320x k x k k -++--=（k 是实数）有两个实数根,αβ，且01,12αβ<<<<，那么k 的取值范围是（ ）A 、34k <<B 、21k -<<-C 、34k <<或21k -<<-D 、无解10、如图，小圆圈表示网络的结点，结点之间的连线表它们有网线相联．连线标注的数字表示该段网线单位时间内可以通过的最大信息量。

成都市二o0九年高中阶段教育学校统一招生考试试卷（含成都市初三毕业会考）全卷分A 卷和B 卷，A 卷满分90分，B 卷满分20分，全卷共110分；考试时间90分钟。

A 卷（共90分）第1卷（选择题，共28分） 注意事项：1.第1卷共2页。

答第1卷前，考生务必将自己的姓名、准考证号、考试科目涂写在 试卷和答题卡上。

考试结束，监考员将试卷和答题卡一并收回。

2 •第1卷全是选择题，各题均有四个选项，只有一项符合题目要求。

每小题选出答案 后，用2B 铅笔把答题卡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，不能答在试卷上。

请注意机读答题卡的横竖格式。

一、单项选择题（每小题 2分，共28分）1. 图1所示现象中，应该用光的折射规律来解释的是2 . 下列数据最符合实际的是A •拿起一颗葡萄的力约为 5NB •甲型HINI 流感病毒的长度约为I cmC .人的正常体温约为 39CD .无线电波在空气中的传播速度约为 3X I08 m/s3. 下列物体中，用到了半导体材料的是A •智能机器狗B •白炽灯泡C •普通干电池D •滑动变阻器4.图2所示的运动情景中，最明显的反映出力使物体发生形变的是5.下列用电器在工作过程中，电能几乎全部转化为内能的是A .电脑B .电风扇C .洗衣机D .电炉踢出的足球能堆煤飞幷C瑜车在公路上息驰D拦网改总扌孝球运动青向6. 下列过程中，将内能转化为机械能的是A .汽油机的压缩冲程B .水蒸气顶起水壶盖的过程C •小孩沿滑梯下滑的过程D •流星在大气层中穿行的过程7.当喇叭里响起“我和你，心连心，共住地球村……”的男声演唱时，小明和小亮齐声说： “是刘欢在演唱！”他们作出判断的依据是：不同演员声音的A .音调不同B .响度不同C .音色不同D .声速不同&去年春节前后，我国南方部分地区遭遇了低温雨雪天气， 某些地区的树枝上甚至出现了图 3所示的“雾淞”。

成都市2009年高中阶段教育学校统一招生考试数学试卷全卷分A 卷和B 卷，A 卷满分100分，8卷满分50分；考试时间l 20分钟。

A 卷分第Ⅰ卷和第Ⅱ卷，第Ⅰ卷为选择题，第Ⅱ卷为其它类型的题。

A 卷(共100分)第Ⅰ卷(选择题，共30分)注意事项：1．第Ⅰ卷共2页。

答第Ⅰ卷前，考生务必将自己的姓名、准考证号、考试科目涂写在试卷和答题卡上。

考试结束，监考人员将试卷和答题卡一并收回。

2．第Ⅰ卷全是选择题，各题均有四个选项，只有一项符合题目要求。

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，再选涂其它答案，选择题的答案不能答在试卷上。

请注意机读答题卡的横竖格式。

一、选择题：(每小题3分，共30分)1．计算2×(12－)的结果是 (A)－1 (B) 1 (C) -2 (D) 22．在函数131y x =-中，自变量x 的取值范围是 (A) 13x < (B) 13x ≠- (C) 13x ≠ (D) 13x >3．如图所示的是某几何体的三视图，则该几何体的形状是左视图俯视图主视图(A)长方体 (B)三棱柱 (C)圆锥 (D)正方体 4．下列说法正确的是(A) 某市“明天降雨的概率是75％”表示明天有75％的时间会降雨 (B) 随机抛掷一枚均匀的硬币，落地后正面一定朝上(C) 在一次抽奖活动中，“中奖的概率是1100”表示抽奖l 00次就一定会中奖(D) 在平面内，平行四边形的两条对角线一定相交5．已知△ABC ～△DEF ，且AB ：DE =1：2，则△ABC 的面积与△DEF 的面积之比为 (A) 1：2 (B) 1：4 (C) 2：1 (D)4：16．在平面直角坐标系xOy 中，已知点A (2，3)，若将OA 绕原点O 逆时针旋转180°得到0A ′， 则点A ′在平面直角坐标系中的位置是在 (A) 第一象限 (B) 第二象限 (C) 第三象限 (D)第四象限7．若关于x 的一元二次方程2210kx x --=有两个不相等的实数根，则k 的取值范围是(A) 1k >- (B) 1k >-且0k ≠ (C) 1k < (D) 1k <且0k ≠8．若一个圆锥的底面圆的周长是4πcm ，母线长是6cm ，则该圆锥的侧面展开图的圆心角的度 数是 (A) 40° (B) 80° (C) 120° (D) 150°9．某航空公司规定，旅客乘机所携带行李的质量x (kg)与其运费y (元)由如图所示的一次函数图象确定，那么旅客可携带的免费行李的最 大质量为 (A) 20kg (B) 25kg (C) 28kg (D) 30kgA B C D EA′-5-4-3-2-15x10．为了解某小区居民的日用电情况，居住在该小区的一名同学随机抽查了15户家庭的日用电(A)众数是6度 (B) 平均数是6.8度 (C) 极差是5度 (D) 中位数是6度成都市二0 0九年高中阶段教育学校统一招生考试试卷(含成都市初三毕业会考)数 学注意事项： 1．A 卷的第Ⅱ卷和B 卷共10页，用蓝、黑钢笔或圆珠笔直接答在试卷上。

复习资料 2一、选择题（将正确答案的番号填在括号里，10分）1、下面说法正确的有（）A.1个B.2个C.3个D.4个①水结成冰时，冰的体积比水的体积增加1/11，冰化成水时，水的体积要比冰的体积减少1/10。

②任意两个奇数的和一定是合数；③7.38除以0.21，商是35余数是0.03；④如果m÷5=n，则m一定能被n整除；⑤能被8整除的数，末两位一定能被4整除.2、甲、乙、丙三个数，已知甲、乙两数的和是a，乙、丙两数的和是b，甲、丙两数的和是c，则甲数是（）A.（a+b－c）÷2B. （a+c－b）÷2C.（b+c－a）÷2D.（a+b+c）÷23、如右图，转动指针，猜指针会停在哪一个数上，下面四种猜数的方法是，（）种猜对的可能性大。

A.合数B.质数C.不是2的倍数D.不是3的倍数4、由5个小正方体搭成的立方体图形中，从正面看的形状是，从左面看的形状是，不能满足的是（）A、 B、 C、 D、5、75×774×1332的积是（）A.77322680B.77322690C.77322600D.77322900二、填空（1——4小题每空1分；5——22小题每题2分，共45分）1、一个数，它的十万位上是最小的合数，万位上是最大的一位数，千位上是奇数中最小的合数，百位是最小的自然数，十位上是最小的质数，个位上既不是质数也不是合数。

这个数写做；读着，省略万位后面的位数略是万。

2、一台拖拉机4小时能耕地0.5公顷，照这样计算，耕一公顷地需要小时，1小时可耕地公顷。

3、一个21位数：200906218070812609002，划去其中13个数字，使剩下的8位（不改变数字顺序）尽可能大，那么这个8位数是。

4、在后面的七巧版图中，阴影部分的面积占打正方形面积的。

5、在右图中用阴影部分表示2/5公顷：6、右图中，有个三角形。

7、把一个边长为a的正方形，分成两个完全相等的长方形，这两个长方形的周长之和是。

第二讲：比和比例【知识与方法】：1、两个数相除又叫做两个数的比。

12÷3=12∶3=4∶12、表示两个相等的比的式子叫做比例。

在比例中两个外项的积等于两个内项的积。

甲×31=乙×41可以改写成甲：乙=41：31=3∶4 3、比和比例问题常用的方法如下：（1）直接按比分配。

若甲＋乙=A ，甲：乙=B ∶C ，则甲=A ×C B B +，乙=A ×CB C+。

（2）先把几个单比转化成连比再进行按比分配。

（3）利用假设、转化、消去等方法确定两个量的关系，再用比例知识求解。

4、利用正比、反比定义求解。

（1）几何中的应用：等高三角形面积之比等于底边之比。

（2）行程中的应用：当路程一定时，速度和时间成反比；当速度（时间）一定时，路程和时间（速度）成正比。

（3）当工作总量一定时，工作效率和工作时间成反比；当工作效率（工作时间）一定时，工作总量和工作时间（工作效率）成正比。

【例题精讲】例1：甲、乙、丙三人在一条跑道上赛跑，当甲跑到终点时，乙离终点12米，丙离终点36米；而当乙跑到终点时，丙离终点还有28米，如果甲、乙、丙三人在赛跑中速度始终保持不变，这条跑道长多少米？模仿练习：1000米赛跑，已知甲到达终点时乙离终点50米；乙到达终点时，丙离终点100米，那么甲到达终点时，丙离终点多少米？例2：师徒两人加工同样数目的零件，当师傅完成他的31时，徒弟还剩108个；当师傅再完成余下的43时，徒弟还有37.5%没做。

照这样计算，当师徒都完成任务时，他们一共加工了多少零件？（2006年七中育才择校题）模仿练习：甲、乙两校同时栽同样多的树。

乙校栽了13 后，甲校还剩下54棵没有栽；当乙校又栽完剩下的34 时，甲校剩下的棵数占本校要栽总数的38 ，照这样计算，两校都完成任务时一共栽了多少棵？（成外2003年奖学金试题）例3：某人从甲地到乙地，回来的速度比去的速度慢51，因此回来时比去时多用3分钟，他从甲地到乙地需要多少分钟？模仿练习：某人骑车下、下班，下班速度比上班的速度慢61，因此下班比上班多用5分钟，求他骑车上班需多少分钟？例4、甲、乙二人分别从A 、B 两地同时出发，相向而行.出发时他们的速度比是3∶2，他们第一次相遇后.甲的速度提高了20%，乙的速度提高了30%，这样，当甲到达B 地时，乙离A 地还有14千米，那么A 、B 两地的距离是多少千米？模仿练习：甲、乙二人分别从A 、B 两地同时出发，相向而行.出发时他们的速度比是3∶2，他们第一次相遇后.甲的速度提高了20%，乙的速度提高了30%，这样，当甲到达B 地时，乙离A 地还有42千米，那么A 、B 两地的距离是多少千米？（2006年成都七中育才学校东区招生考试题）例5、一辆汽车从甲地开往乙地，如果把车速提高91，那么要比原定时间提前1小时到达，如果以原速行驶162千米，再把速度提高61，也比原定时间提前1小时到达。

成都实验外国语学校处2012级直升生考试（参考答案）数 学 试 卷第一卷（选择题，共50分）一、选择题（共50分）1.如果有一个正方体，它的展开图可能是下面四个展开图中的（ ）A ．B ．C ．D ．图中468三个字数字应该是相邻的，B 中，折起来后，不是三个数字相邻，而是顺次相邻，C 同B 一样，d 折起来，6 和8 是相对的两个面，所以答案是A2.已知a=2009x+2008，b=2009x ＋2009，c=2009x+2010求代数式a2＋b2＋c2－ab －bc －ac 的值.由题可得：a=b-1 , c=b+1a^2＋b^2＋c^2－ab －bc －ac=(b-1)^2＋b^2＋(b+1)^2－(b-1)b －b(b+1)－(b-1)(b+1)=b^2-2b+1＋b^2＋b^2+2b+1-b^2+b-b^2-b-b^2+1=33. 在△ABC 中，3条高线AD,BE,CF 相交于O 点，且OA=BC,则tan ∠FAC 的值为多少，4. 若x=π/3,则｜x+1|+|x+3|+...+|x+13|-|x+2|-|x+4|-...-|x+12|等于（ ）｜x+1|+|x+3|+...+|x+13|-|x+2|-|x+4|-...-|x+12|=(x+1)+(x+3)+...+(x+13)-(x+2)-(x+4)-...-(x+12)=7x+1+3+...+13-6x-(2+4+...12)=x+49-42；=π/3+75. 三角形ABC 中角BAC=120度P 是三角形ABC 内一点，则PB+PA+PC ﹥AB+AC证明： 把△APC 围A 旋转60到△ADE ，连结PD ，∵∠BAC=120，∴B ，A ，E 在一直线上，∴PD=PA ，DE=PC ， ∴PB+PD+DE ﹥BE ，即PB+PA+PC ﹥AB+AC 。

6. 1、若实数x ，y 满足条件2x^2-6x+y^2=0 ，则x^2+y^2+2x 的最大值= △2x^2-6x+y^2=0 (x+1)^2+y^2+x^2-8x-1=0 x^2+y^2+2x=(x+1)^2+y^2+-1=-x^2+8x=-(x-4)^2+16最大=167. 四边形ABCD 中,AD 平行BC,∠B=30,∠C=60,E,F,M,N 分别为AB,CD,BC,DA 的中点,若BC=7,MN=3,求EF 的长 因为四边形ABCD 中,AD 平行BC 所以四边形ABCD 是梯形 延长BA,CD ，NM 交与O 点则三角形BOC 的直角三角形 OM 是三角形BOC 斜边上的中线 所以ON=BC/2三角形AOD 也是直角三角形且OM 是斜边上的中线 OM=AD/2所以AD/2=BC/2-MN ；及AD=1所以EF=(AD+BC)/2=48. 对于任何实数x ，y 是由y1=4x+1，y2=x+1，y3=4-2x 三个函数中最小值组成的函数，那么，y 的最大值为（ ）A 8/3；B 7/3；C 5/2；D 3y1与y2交于（0，1） y1与y3交于（1/2，3） y2与y3交于（1，2） x≤0时，y3≥y2≥y1,y 最大值取y1≤1 0≤x≤1/2时，y3≥y1≥y2,y 最大值取y2≤3/21/2≤x≤1时，y1≥y3≥y2,y 最大值取y2≤2 x≥1时，y1≥y3≥y2，y 最大值取y3≤2 所以y 最大值为2没有正确答案9. 求关于x 的方程7x^2-(k+13)x+k^2-k-2=0有满足0<x1<1<x2<2的两个实数根的充要条件。

成都外国语学校往届小升初择校考试语文试题分析多米诺学校小升初课题研究组（版权所有，转载请注明原作者）成外小升初择校考试语文试题题型、分值对照表（满分100分，限时100分钟）年份基础知识积累和运用阅读理解与运用写作2001 33分 31分 36分2002 33分27分 40分2003 38分 32分 30分2004 37分 28分 35分2005 33分 22分 45分2006 60分（含基础20分） 40分2007 40分 30分 30分2008 28分 37分 35分2009 45分 25分 30分从上表中，我们不难得出以下两个重要结论：①成外（注：成都外国语学校的简称，下文同）非常注重对考生基础知识、写作能力的考察。

②成外亦非常重视对考生阅读理解与运用的考察。

接下来，让我们分别从“基础知识积累和运用”、“阅读理解与运用”、“写作”三个部分了解成外择校考试语文试题。

基础知识积累和运用成外对学生的基础知识的积累与运用非常重视。

从历年考题来看，本部分的分值平均在38分左右，超过了总分的三分之一。

另外，加上阅读部分对基础知识考察的分值，本部分的分值比重就更高了。

因此，对于有报考成外意愿的学生来说，基础知识的积累与运用的重要性可想而知！ 2007年至2009年，成外连续三年基础知识的积累与运用部分的分值都在40分以上。

值得一提的是：在2008年的试题中，晃眼一看，你会误以为该年的基础知识的积累与运用考察分值仅为28分。

其实不然，大家仔细分析便知，其实在阅读部分基础知识考察的分值占了15分，因此该年的基础知识的积累与运用考察分值共为43分。

提醒广大考生：即便是在阅读部分的考察中，同样会涉及到对字、词、句等基础知识的考察！本部分的题型灵活多变，现简单把常考题型归类如下：（1）看拼音写汉字或根据汉字标注拼音。

（2）根据音序为词语排序。

多米诺学校小升初课题研究组（3）找出并改正词语中的错别字。

（4）成语的运用是否得当、根据要求写成语。

10 成都市2009年高中阶段教育学校统一招生考试1．A 【解析】本题重点考查了有理数的乘法运算．在有理数乘法运算中，同号得正，异号得负，并把绝对值相乘．本题是一道较为简单的题目．2．C 【解析】本题重点考查了函数自变量的取值范围．由题意知函数有意义，则分母不等于零，即3x －1≠0，∴31≠x ，本题是一道较为简单的题目．3．B 【解析】本题考查了几何图形的三视图，主要考查学生空间想象能力及动手操作能力．本题较简单．4．D 【解析】本题主要考查事件发生的概率．概率是指事件发生可能性的大小．A 选项中“明天降雨的概率是75％”能说明明天降雨的概率比较大而不是有75％的时间会降雨；B 选项中正面朝上和反面朝上的可能性各占50％；C 选项中“中奖的概率是1001”仅仅说明这个事件发生的可能性的大小，但不代表抽奖100次就一定会中奖．本题是一道较为简单的题目．5．B 【解析】本题重点考查了相似三角形的性质．相似三角形面积的比等于相似比的平方．因为△ABC ∽△DEF ．且AB ∶DE ＝1∶2，所以△ABC 的面积与△DEF 的面积之比为1∶4．本题是一道较为简单的题目． 6．C 【解析】本题重点考查了图形的旋转、中心对称及直角坐标系各象限内坐标的特点．旋转180°度，即找出A 点关于O 点成中心对称的点即可，A (x ，y )成中心对称点的坐标为(－x ，－y )．本题是一道较简单的题目．7．B 【解析】本题重点考查了用根的判别式判别方程的根的情况．一元二次方程根的情况即看∆，0Δ＞，则有两个不等实数根；0Δ＝，则有两个相等的实数根；0Δ＜，则无实数根．题目中方程有两个不等的实数根，则0Δ＞，即4＋4k ＞0，即k ＞－1；在做题时还应注意原一元二次方程成立，二次项系数不能为零，故k ≠0．本题是一道较为简单的题目． 8．C 【解析】本题重点考查圆锥的侧面展开图及弧长的求法．圆锥的侧面展开图是一个扇形，这个扇形的半径是圆锥的母线，扇形的弧长是圆锥底面圆的周长．设圆心角的度数为n ，则π41806π＝︒⋅n ，故n ＝120°．本题是一道难度中等的题目．9．A 【解析】本题重点考查了一次函数的图象及一次函数的应用．设y 与x 的函数关系式为y ＝kx ＋b ，由题意可知⎩⎨⎧．＋＝＋＝b k bk 5090030300所以k ＝30，600＝－b ，所以函数关系式为当y ＝30x －600时，当y ＝0时，即30x －600＝0，所以x ＝20．本题是一道难度中等的题目．10．D 【解析】本题重点考查平均数、中位数、众数及极差的概念及求法．众数是指一组数据中出现次数最多的数据，而中位数是指将一组数据按从小(或大)到大(或小)的顺序排列起来，位于最中间的数(或是最中间两个数的平均数)，极差是最大数与最小数的差．本题数据共有15个数，故中位数应取按从小(或大)到大(或小)的顺序排列后的第8个数，所以中位数是7度．本题是一道较简单的题目．11．x ＝2 【解析】本题考查分式方程的解法．去分母得，2(x ＋1)＝3x ，解得x ＝2，经检验x ＝2是原分式方程的解．注意解分式方程必须进行检验．本题是一道较为简单的题目． 12．60° 【解析】本题重点考查了图形的翻折及轴对称．矩形ABCD 沿BE 折叠，若︒'∠30＝A CB ，则︒'∠∠30＝＝BE A ABE ，则 60＝A BE '∠．本题是一道较为简单的题目．13．② 【解析】本题利用改革开放后城市人口增长问题，重点考查了科学记数法的表示．科学记数法就是把一个大于等于10或小于1的数表示成n a 10⨯的形式，其中1≤a ＜10，当原数大于10时，n 等于整数位数减去1．当原数小于1时，也可用科学记数法表示，如0.000 05，若用科学记数法表示，可得：5105－⨯表示．此时的n 等于左边零的个数的相反数．本题较简单．14．33 【解析】本题重点考查等边对等角、解直角三角形及圆的有关知识的综合运用．∵AB ＝BC ，∠ABC ＝120°，∴BAC ＝∠ACB ＝30°，又∠D ＝∠ACB ＝30°，AD 为⊙O 的直径，∴∠ABD ＝90°，在Rt △ABD 中ADBD ＝︒30cos ，所以623BD ＝，所以33＝BD ．本题是一道难度中等的题目．15．本题重点考查了实数的综合运算，即算术平方根、零指数和特殊角的三角函数值．正确记忆算术平方根、负指数、零指数和特殊角的三角函数值是解决问题的关键．对于一个非零数a ，则10=a ，需要注意a 必须是一个非零数，否则没有意义．本题是一道较简单的题目．解：(1)原式)1(2241222－＋－＋＝⨯⨯ (4分)1122222＝－－＋＝ (6分) (2)原式1232332＋－＋－＝x x x x (2分) 12＋＝x (4分) ∴当3＝x 时，原式()4132=＋＝． (6分)16．本题重点考查一元一次不等式组的解法．解一元一次不等式组时，确定不等式组的解集的规律是：大大取较大，小小取较小，大大小小是空集，大小小大中间找．本题较简单． 解：解不等式3＜)12＜13x x x ，得＋（－． (2分) 解不等式123≥＋x ，得1－≥x ． (4分)∴不等式组的解集为－1≤x ＜3． (５分) 在数轴上表示其解集为17．本题重点考查用待定系数法求反比例函数和一次函数解析式以及反比例函数和一次函数的图象结合运用．如果反比例函数和一次函数的图象有交点，我们可把两个解析式联立解方程组求出交点坐标；本题在求出交点坐标后还应考虑各个象限坐标特点．本题是一道较简单的题目．解：(1)∵一次函数2＋＝x y 的图象经过点P (k ，5)，∴5＝k ＋2． (2分) ∴k ＝3． (3分) ∴反比例函数的表达式为xy 3＝． (4分)(2)由⎪⎩⎪⎨⎧x y x y 32＝，＋＝消去y ，得0322＝－＋x x ． (5分) 即(x ＋3)(x －1)＝0．∴x ＝－3或x ＝1． 可得y ＝－1或y ＝3．于是⎩⎨⎧13＝－，＝－y x 或⎩⎨⎧．＝，＝31y x (7分)∵点Q 在第三象限，∴点Q 的坐标为(－3，－1)． (8分)18．本题通过数学建模主要考查解直角三角形的有关知识，提高学生运用解直角三角形解决实际问题的能力．本题是一道难度中等的题目． 解：如图，由已知，可得∠ACB ＝30°，∠ADB ＝45°． (2分) ∴在Rt △ABD 中，BD ＝AB ． (3分) 又在Rt △ABC 中，∵BCAB ＝︒30tan ，∴33＝BCAB ，即AB BC 3＝． (4分)∵BC ＝CD ＋BD ，∴AB CD AB ＋＝3．即60)13(＝－AB ． (6分)∴)13(301360＋＝－＝AB (米)．(7分) 答：(或∴)教学楼的高度为)13(30＋米． (8分) 19．本题重点考查了画树状图(列表)，以及利用树状图(或列表)求事件发生的概率．本题是一道难度中等的题目． 解：(1)画树状图：或用列表法：(4分)(2)由图(或表)可知，所有可能出现的结果有12种，其中S＝0的有2种，S＜2的有5种．(6分) ∴61122)0(＝＝＝SP；(8分) 125)2＜(SP．(10分) 20．本题是一个探究性的题目，主要考查了三角形相似的识别、勾股定理、三角形全等的判定等重要知识点，有利于提高学生综合运用知识的能力．本题是一道综合性较强的题目，题目难度中等．解：(1)∵AB⊥l于B，DC⊥l于C，∴∠ABE＝∠ECD＝90°．∵∠BEA＋∠AED＋∠CED＝180°，且∠AED＝90°，∴∠CED＝90°－∠BEA．又∠BAE＝90°－∠BEA，∴∠BAE＝∠CED．∴Rt△ABE∽Rt△ECD．[或：∵AB ⊥l 于B ，DC ⊥l 于C ，∴AB ∥DC ．∴Rt △ABE ∽Rt △ECD ．] ∴．＝CDBE ECAB ∵BE ∶EC ＝1∶3，BC ＝16， ∴BE ＝4，EC ＝12． 又AB ＝6，∴86124＝＝＝⨯⋅ABECBECD ． (3分)在Rt △AED 中，由勾股定理，得∴)()(222222CD EC BE AB DE AE AD ＋＋＋＝＋＝652260841262222＝＝＋＋＋＝． (4分) (2)(ⅰ)猜想：AB ＋CD ＝BC ． 证明：在Rt △ABE 中，∵∠ABE ＝90°，∴∠BAE ＝90°－∠AEB ． 又∵∠AEB ＋∠AED ＋∠CED ＝180°， 且∠AED ＝90°，∴∠CED ＝90°－∠AEB ． ∴∠BAE ＝∠CED ． ∵DC ⊥BC 于点C ，∴∠ECD ＝90°． 由已知，有AE ＝ED ．于是在Rt △ABE 和Rt △ECD 中， ∵∠ABE ＝∠ECD ＝90°，∠BAE ＝∠CED ，AE ＝ED ， ∴Rt △ABE ≌Rt △ECD ．(AAS) (6分) ∴AB ＝EC ，BE ＝CD ． (7分) ∴BC ＝BE ＋EC ＝CD ＋AB ．即AB ＋CD ＝BC ． (8分) (ⅱ)当A ，D 分别在直线l 两侧时，线段AB ，BC ，CD 有如下等量关系：AB －CD ＝BC (AB ＞CD )或CD －AB ＝BC (AB ＜CD )． (10分) 21．yx y －2 【解析】本题重点考查分式的混合运算，在作分式的混合运算时，如果分子、分母是多项式应先考虑将多项式进行因式分解，然后进行约分．本题是一道难度中等的题目． ．－＝－－－＝－＋－－＋－＝－－＋－＋－＝＋－－－＋－yx yyx y x y x y x y x y x yx y x y x y x yx y x y xy x yx y x y x 231))(()3(31)3())((319631222222⋅÷÷22．233 【解析】本题重点考查解直角三角形、三角形全等及圆的有关知识，是一道难度较大的题目． 过点P 作PF ⊥BD ，PG ⊥AB ，∵∠CBD ＝∠ABC ，BP ＝BP ，∠PGB ＝∠PFB ＝90°，∴可证明△BPG ≌△BPF ， ∴PF ＝PG ．又根据∠AOC ＝60°．∴∠CBD ＝∠ABC ＝30°，又∵PE ∥AB ，∴∠BPE ＝∠ABC ＝30°，然后解直角三角形△BPF 和△PEF 即可求得233＝PF ．23．12＋＋n n 【解析】本题是探究规律性的题目，考查学生探究问题的能力．本题是一道难度中等的题目．由题意知，＝－＝2341121⎪⎭⎫ ⎝⎛b 3491141122＝－－＝⎪⎭⎫ ⎝⎛⎪⎭⎫ ⎝⎛b ，45161191141123＝－－－＝⎪⎭⎫ ⎝⎛⎪⎭⎫ ⎝⎛⎪⎭⎫ ⎝⎛b ，所以12＋＋＝n n b n ． 24．⎪⎭⎫⎝⎛4824－，－m m ；⎪⎭⎫⎝⎛2448－，－m m 【解析】本题重点考查反比例函数的图象与正方形面积的关系，本题要分两种情况进行讨论．本题是一道难度较大的题目．(1)设R 的坐标为(－x ，－y )，则S ＝4＋2y ，即4＋2y ＝m 所以，24－＝m y ，则48－＝m x ，故R 的坐标⎪⎭⎫⎝⎛2448－，－m m ；(2)设R 的坐标为(－x ，－y )，则S ＝4＋2x ，即4＋2x ＝m 所以24－＝m x ，则48－m y =，故R 的坐标⎪⎭⎫⎝⎛4824－，－m m ． 注意：本题要注意只要是在反比例函数图象上的点横纵坐标乘积都为4．25．4和5 【解析】本题重点考查概率和一次函数的结合，作题时可先通过列表求出a ＋b 所有可能的情况．故n Q 的概率最大时，所有可能的值为4和5．本题是一道难度中等的题目．26．本题利用响应国家“自主创业”的号召，大学生进行自主创业这个新颖主题重点考查二次函数和一次函数的性质及求法，本题是一道难度中等的题目．通过此题可提高学生利用数学解决实际问题的能力． 解：(1)根据题意，得⎥⎦⎤⎢⎣⎡⎪⎭⎫⎝⎛203021)802()20(11－＋＋－＝－＝x x Q P R800202＋＋＝－x x (201≤≤x ，且x 为整数) (3分) )2045)(802()20(22－＋－＝－＝x Q P R000 250＋＝－x (3021≤≤x ，且x 为整数)． (5分) (2)在201≤≤x ，且x 为整数时， ∵900)10(21＋－＝－x R ，∴当x ＝10时，1R 的最大值为900． (6分) 在3021≤≤x ，且x 为整数时，∵在000 2502＋＝－x R 中，2R 的值随x 值的增大而减小，∴当x ＝21时，2R 的最大值是950． (7分) ∵950＞900，∴当x ＝21即在第21天时，日销售利润最大，最大值为950元． (8分) 27．本题重点考查了三角形的相似，三角形的全等，勾股定理以及圆的有关知识等重要知识点，是一道综合性极强的题目，也是一道难度较难的题目． (1)猜想：OG ⊥CD ．证明：如图，连接OC ，OD ．∵OC ＝OD ，G 是CD 的中点，∴由等腰三角形的性质，有OG ⊥C D ． (2分) (2)证明：∵AB 是⊙O 的直径，∴∠ACB ＝90°．而∠CAE ＝∠CBF (同弧所对的圆周角相等)． 在Rt △ACE 和Rt △BCF 中，∵∠ACE ＝∠BCF ＝90°，AC ＝BC ，∠CAE ＝∠CBF ， ∴Rt △ACE ≌Rt △BCF ．(ASA)∴AE ＝BF ． (5分) (3)解：如图，过点O 作BD 的垂线，垂足为H ． 则H 为BD 的中点． ∴AD OH 21＝，即AD ＝2OH ．又BD CD BAD CAD ＝＝⇒∠∠，∴OH ＝OG ．在Rt △BDE 和Rt △ADB 中， ∵∠DBE ＝∠DAC ＝∠BAD ， ∴Rt △BDE ∽Rt △ADB ． ∴DBDE ADBD ＝，即DE AD BD ⋅＝2．∴)22(622－＝＝＝DE OG DE AD BD ⋅⋅． (6分)又BD ＝FD ，∴BF ＝2BD ．∴)22(24422－＝　＝BD BF ．① (7分) 设AC ＝x ，则BC ＝x ，x AB 2＝． ∵AD 是∠BAC 的平分线， ∴∠FAD ＝∠BAD ．在Rt △ABD 和Rt △AFD 中，∵∠ADB ＝∠ADF ＝90°，AD ＝AD ，∠F AD ＝∠BAD ， ∴Rt △ABD ≌Rt △AFD ．(ASA) ∴x AB AF 2＝＝，BD ＝FD ．∴x x x AC AF CF )12(2－＝－＝－＝． 在Rt △BCF 中，由勾股定理，得22222])12[(x x CF BC BF －＋＝＋＝2)22(2x －＝．② (8分) 由①、②，得．－＝－)22(24)22(22x ∴122＝x ．解得32＝x 或32－(舍去)． ∴623222＝＝＝⋅x AB ．∴⊙O 的半径长为6． (9分)∴π66π2＝）（＝⊙⋅O S ． (10分)28．本题重点考查了二次函数图象、一次函数以及一元二次方程等重要知识点．是一道综合性极强的题目，也是一道难度较难的题目．本题作为一个压轴题，有利于提高同学们综合运用的能力．解：(1)∵直线MC 的函数表达式为y ＝kx －3．∴点C (0，－3)． (1分)∵10310103cos ＝＝＝BCOC BCO ∠，∴可设)0＞(3t t OC ＝，．＝t BC 10 则由勾股定理，得t OB ＝． 而33＝　＝t OC ，∴t ＝1． ∴1＝OB ．∴点B (1，0)． (2分) ∵点B (1，0)，C (0，－3)在抛物线上，∴⎩⎨⎧++．＝－，＝304c a c a 解得⎩⎨⎧．＝－，＝41c a∴抛物线的函数表达式为324)1(22－＋＝－＋＝x x x y ． (4分)(2)假设在抛物线上存在异于点C 的点P ，使以N ，P ，C 为顶点的三角形是以NC 为一条直角边的直角三角形． ①若PN 为另一条直角边． ∴点M (－1，－4)在直线MC 上， ∴－4＝－k －3，即k ＝1．∴直线MC 的函数表达式为y ＝x －3．易得直线MC 与x 轴的交点N 的坐标为N (3，0)． ∵ON OC ＝，∴∠CNO ＝45°．在y 轴上取点D (0，3)，连接ND 交抛物线于点P ． ∵，＝OD ON ∴∠DNO ＝45°∴∠PNC ＝90°． ∴直线ND 的函数表达式为y ＝mx ＋n ． 由⎩⎨⎧⇒⎩⎨⎧．＝，＝－＝，＝＋31303n m n n m∴直线ND 的函数表达式为y ＝－x ＋3．设点P (x ，－x ＋3)，代入抛物线的函数表达式，得 3232－＋＝＋－x x x ，即0632＝－＋x x ．解得，＋－＝23331x 23332－－＝x ．∴23391－＝y ，23392＋＝y ．∴满足条件的点为⎪⎪⎭⎫⎝⎛233923331－，＋－P ，⎪⎪⎭⎫⎝⎛233923332＋，－－P ． (6分) ②若PC 是另一条直角边．∵点A 是抛物线与x 轴的另一交点，∴点A 的坐标为(－3，0)．连接AC ．∵OC OA ＝，∴∠OCA ＝45°． 又∠OCN ＝45°，∴∠ACN ＝90°．∴点A 就是所求的点)03(3，－P ． (7分) [或：求出直线AC 的函数表达式为3－＝－x y ．设点P (x ，－x －3)，代入抛物线的函数表达式，得3232－＋＝－－x x x ，即032＝＋x x ．解得31＝－x ，02＝x ．∴01＝y ，32＝－y ．∴点)03(3，－P ，)30(4，－P (舍去)．]综上可知，在抛物线上存在满足条件的点，有3个，分别为：⎪⎪⎭⎫ ⎝⎛233923331－，＋－P ， ⎪⎪⎭⎫ ⎝⎛233923332＋，－－P ，)03(3，－P ． (8分) (3)①若抛物线沿其对称轴向上平移，设向上平移b (b ＞0)个单位．可设函数表达式为b x x y ＋－＋＝322．由⎩⎨⎧3322－＝，＋－＋＝x y b x x y 消去y ，得02＝＋＋b x x ．∴要使抛物线与线段NQ 总有交点，必须041≥－＝b ∆，即41≤b ．∴41＜0≤b ． ∴若抛物线向上平移，最多可平移41个单位长度． (10分)②若抛物线沿其对称轴向下平移，设向下平移b (b ＞0)个单位．可设函数表达式为b x x y －－＋＝322．∵当x ＝－3时，y ＝－b ；当x ＝3时，y ＝12－b ．易求得Q (－3，－6)，又N (3，0)．∴要使抛物线与线段NQ 总有交点，必须6－≥－b 或012≥－b ，即1266≤或≤b ． ∴0＜b ≤12．∴若抛物线向下平移，最多可平移12个单位长度． (11分)[或：若抛物线沿其对称轴向下平移，设平移b (b ＞0)个单位．则b x x y －－＋＝3221，32－＝x y ；在33≤≤x -总有交点．即03322221＝－＋＝＋－－－＋＝－b x x x b x x y y 在－3≤x ≤3总有实数根． 令412122－＋＝＋＝⎪⎭⎫ ⎝⎛x x x y ， 在－3≤x ≤3时，1241≤≤－y ． ∴要使02＝－＋b x x 在－3≤x ≤3有解，b 必须满足1241≤≤－b ． ∴0＜b ≤12，即b 的最大值为12．∴向下最多可平移12个单位长度．]综上可知，若将抛物线沿其对称轴上下平移，使抛物线与线段NQ 总有公共点，则向上最多可平移41个单位长度，向下最多可平移12个单位长度． (12分) 综评：本份试卷覆盖面较广，试卷分A 卷和B 卷两部分．其中A 卷重点考查学生的基础知识，难度都不大，B卷重点考查学生综合运用知识的能力，难度较大．另外本份试题26题增加了用新情境“大学生自主创业”来考查函数知识的题目，培养学生学习数学的兴趣以及爱国主义情感．27，28题是中考中常见动点问题和分类讨论问题，提高了同学们综合运用数学知识解决数学问题的能力．(山东李军刚)。

武汉实验外国语学校2009年初中招生综合测试Section One Listening (满分30分)一 .听下面几段材料，根据所听内容完成各个小题，并将代表最佳答案的字母填在题前的括号内。

每段片断仅播放一遍。

（每小题1分，满分6分）听下面一段歌曲片段，完成第1-2题。

（）1.“Hakuna Matata!” means__________________.A. no wayB.no difficultiesC.no worries( ) 2. “Hakuna Matata!” is a _________ phrase.A. beautifulB. wonderfulC. helpful听下面一段电影录音，完成第3-4 题。

（）3. In this part of the movies, they find ____________________.A. a tigerB. a wolfC. a lion( ) 4. Then they decide to _______________.A. keep itB. kill itC. take it听下面一段现场录音，完成第5-6题。

（）5. In the dialogue ,the Oscar goes to______________.A. BoltB. Kuang Fu PandaC.Wall E( ) 6. As we know,this famous films festival is held in _______________.A. China B,America C. France二 . 听下面五个问句，根据所听内容选出相应的答语，并将代表该答案的字母填在题前的括号内。

每个问句仅读一遍。

（每小题1分，满分5分）( ) 1.A. He works hard B. He is a teacher C. He’s forty( ) 2. A.It is exciting B. No, not at all C. Yes,I like it ( ) 3. A.. Yes, please B. You ‘re welcome C. Of course no t. ( ) 4. A.It’s red B. Last week C. It’s Mary’s( ) 5.A. I don’t know B. Not at all C. Sure三 .听下面五段对话，根据对话内容选择相应的图片，并将代表该答案的字母填在题前的括号内。

成都外国语学校2009━2010学年度下期期末考试高一英语试卷注意事项：1. 本试卷分为第一卷（选择题做在答题卡上）和第二卷（非选择题做在答题卷上）两部分。

2. 本堂考试120分钟，满分150分，本试卷共12页。

3. 考试前，考生务必先将自己的姓名，学号填写在答题卡上，并使用2B铅笔填涂。

试卷和答卷密封线内必须按照要求填写。

4. 考试结束后，将试卷第11 ━12页和答题卡一并交回。

第一卷I. Multiple choices. (25 points)1. According to Qimin Yaoshu, a practical guide _____ farming, if you go______ nature and dothings at the wrong time of the year, you have to do more work and the result will not be so good.A. under; forB. to; againstC. at; acrossD.to; at2.The project Katie spent months working ____ was set ____ a stripy colored background.A. in; forB. with; onC. on; againstD. about; in3. I don't know who decided ____ the theme ____ the Shanghai World Expo.A. on; forB. about; throughC. into; onD. through; about4. ____ the age of sixteen, the British students take GCSE exams in up ____ ten subjects.A. With; atB. In; atC. At; forD. At; to5. The carpenter making furniture ____ his own design has got a certificate ____ carpentry.A. on; forB. within; aboveC. beyond; overD. to; in6. We refer ____ the person ____ charge of the courts as the recreation director.A. to; inB. for; aboutC. on; overD. during; with7. The expert ____ health has discovered that five patients suffering the same disease are similar____ age.A. for; onB. about; overC. in; inD. into; onto8. The diamond necklace ____ a big blue stone in the centre looked wonderful ____ you.A. for; inB. with; onC. with; inD. over; on9. What is the position ____ India ____ relation to China?A. about; forB. on; intoC. for; overD. of; in10. They charged me $10 ____ watching a game that ended ____ a tie.A. for; inB. over; forC. on; inD. about; with11. It was in the restaurant ____ we had dinner _____ I lost my bag.A. that; whereB. where; thatC. where; whereD. that; that12. Nils Yngve Berquist ____ the idea ____ the next igloo should be more complicated.A. was fed up with; whichB. was made up with; whatC. came up with; thatD. broke up with; when13. New Zealand has a population of about 3.8 million, ____ about fourteen percent are Mori.A. about whichB. for whichC. during whichD. of which14. I strained my ears and made out that it was like a tap ____.A. drippingB. to dripC. drippedD. drips15. On May 18, Chinese tycoon (企业界大亨) Huang Guangyu was sentenced 14 years inprisonafter ____ guilty of bribery, insider trading and illegal business practices.A. to findB. findsC. being foundD. finding16. April 5 was a day of relief since rescuers saved 115 workers ____ for more than a week in theflooded Wangjialing Coal Mine in Shanxi province.A. trappingB. trappedC. trapD. to trap17. I ____ the Internet when she telephoned to invite me to watch Ip Man 2 (叶问2), and I happily said OK to her.A. was surfingB. had surfedC. have surfedD. surfed18. Hardly ____ he entered the classroom ____ the bell rang..A. had; whenB. did; thanC. had; thanD. did; when19. If I ____ the Japan’s new Prime Minister, instead of Naoto Kan, I would improve the Sino- Japanese relation above all.A. had beenB. amC. wasD. were20. His face suggested that he ____ ill, and I suggested that he ____ to hospital immediately.A. was; was sentB. be; was sentC. was; be sentD. be; be sent21. He ____ be present at the meeting, because I can see his bag on the chair.A. can’tB. mustC. mustn’tD. may22. ____ is reported that Liu Xiang is unsure about the 2012 London Olympic Games, because he ____ from his injury since 2008.A. There; didn’t recoveredB. There; wasn’t recoveredC. It; has n’t recoveredD. It; hadn’t been recovered23. : Did you fix your TV yourself?: No. I had it ____.A. fixB. fixedC. to fixD. fixing24. : Do you like tea or coffee?: No, thanks. I like ____ of them. I don’t drink an ything before sleeping.A. eitherB. neitherC. noneD. both25. With something ____ downstairs, I opened the door and found my brother was playing with a ball.A. kickingB. to kickC. being kickedD. to be kickedII. Cloze test. (30 points)My wife and I bought a secondhand car for our tour. During our two months on the road, Lucy and I had a really 26 experience with a good, honest garage and some helpful 27 .We were driving west on Highway 101 when our "check engine" light came on. We limped of (拐入) a (n ) 28 into Las Cruces. We had a real car 29 . Lucy nursed the car into a local garage. By this time the car was 30 so badly that it was shaking all over. This wasthe 31 _ time to arrive at a garage--late Friday afternoon. Service adviser Olivia was busy 32 paper work and customers as we explained our problems. 33 there were already “ten cars behind”,he told us to 34 the car into the garage.Evelyn, who we later 35 was one of the top motor technicians, took 36 of our carrepairing. He and Olivia and some other repairmen stayed several hours afterclosing, 37_ the car.Early the next morning (the shop was 38 closed on Saturdays) , Evelyn finally located the problem and fixed it easily within only 39 .Later Olivia pointed out to us that it was our 40 that helped. " You didn't come into the place demanding this or that. You showed an 41 of our problems on a busy Friday afternoon. Customer's attitude 42 a lot. He was right in some way, customers should show politeness and understanding to people who 43 them. Even if people were extremely busy, they found way to 44 try and help when they are met with politeness. The pleasant experience I had shows that 45 for other people can always help.26. A. bad B. pleasant C. wonderful D. terrible27. A. policemen B. firemen C. workmen D. repairmen28. A. exit B. turning C. crossing D. entrance29. A. difficulty B. examination C. trouble D. disaster30. A. destroyed B. damaged C. harmed D. injured31. A. highest B. easiest C. luckiest D. worst32. A. at B. on C. with D. by33. A. As B. For C. Even D. Although34. A. pull B. push C. make D. get35. A. learned B. understood C. recognized D. thought36. A. care B. control C. charge D. pride37. A. building B. examining C. repairing D. driving38. A. officially B. completely C. really D. mainly39. A. days B. hours C. months D. minutes40. A. cleverness B. attitude C. kindness D. appreciation41. A. understanding B. ignorance C. appreciation D. awareness42. A. calls B. tries C. decides D. means43. A. comfort B. protect C. serve D. rescue44. A. at least B. at last C. above all D. at most45. A. kindness B. respect C. patience D. mercyIII. Reading comprehension .Part One (2 points for each question. Total: 24 points)AWorld Expo 2010 Shanghai China is to be staged in Shanghai from May 1 to October 31, 2010. If you plan to visit the Shanghai Expo this summer, China Pavilion(馆)is a must - see area for you.China Pavilion, which is called Oriental Crown, is located at the center of the Expo site. Standing 63 meters tall, the China Pavilion takes the shape of an emperor's crown, with the upper layers larger than the lower ones. Covering 160,000 square meters in floor space, the pavilion consists of a national hall and a regional hall. Construction on the China Pavilion began on Dec. 18, 2007. The design of the China Pavilion was picked from a total of 344 designs put for¬ward by Chinese from around the world. The pavilion possesses both traditional and modern features, which helps devel¬op the theme of the 2010 Expo; "BetterCity, Better Life. For example, it is red in appearance, which contains the ele¬ments of traditional Chinese culture, and it is green indoors, with the use of energy - saving techniques. The Shanghai World Expo is expected to attract 70 million visitors from across the globe. It is estimated that 400,000 people will visit the Expo and its 140 pavilions every day during the period, but the China Pavilion is only able to receive about one tenth of the total. How to hold so many people in the pavilion remains a tough task. Luckily, the China Pavilion is built as a permanent landmark.During the Expo, the main structure will be used for an exhibition based on the theme of “ Chinese wisdom in urban development” by explaining the values of harmony, nature and spirit. The three - story pavilion has three sections. The top floor's “Footprint of the East” will show some of the changes in Chinese cities. There, you can see a film which shows how Chinese cities have changed, especially in the past 30 years. According to Lu Chuan, director of the film, the scenery is like something from Lord of the Rings. On the second floor, “Journey of Wisdom” will explain China's four grea t inventions. And the ground's“ Blossoming” City will display scenes from cities of the future.46. Which of the following words can be used to describe the China Pavilion?A. Tiny.B. imaginary.C. ForeignD. Environment - friendly.47. The China Pavilion can receive________visitors at most per day.A. 20,000B. 40,000C. 100,000D. 400,00048. We can infer that________.A. Some foreign friends took part in the designs of the China PavilionB. You can continue to visit the Japanese Pavilion after the Expo is overC. China Pavilion will be pulled down after the World Expo 2010 is overD. China Pavilion will continue to be open to visitors after the Expo is over49. On the second floor, you can________.A. enjoy a film about the changes of cities in ChinaB. learn what Shanghai looked like in the 1920'sC. find out how paper was inventedD. see how Chinese cities will look like in the futureBSTOCKHOLM (2009 -Oct -7 09:02:07): Shanghai native Charles Kao and two North American scientists were awarded the 2009 Nobel Prize for physics yesterday.Kao, 75, a pioneer in fiber optic (光纤) communications, along with two scientists who figured out how to turn light into electronic signals-work that covered the way for the Internetage-won the $1.4 million prize.Kao, who is a US and British citizen, won half the prize for his research that led to a breakthrough in fiber optics in determining how to send light over long distances via optical glass fibers as thin as a human hair.Kao, who is retired, has been based in Hong Kong after teaching at the Chinese University of Hong Kong. " I am absolutely speechless and never expected such an honor. The Nobel has never been given out for applied sciences before. This is very, very unexpected. " Kao said. Hong Kong Chief Executive Donald Tsang said he was pleased to learn that Kao was awarded the Nobel Prize in physics."The people of Hong Kong and I extend our heartfelt congratulations to Professor Kao on receiving the honor," Tsang said."An outstanding scientist, Professor Kao is also a true gentleman and a devoted educator. We are very proud to have such an eminent figure in Hong Kong," Tsang said.Kao was vice-president of the Chinese University of Hong Kong from 1987 until 1996. Willard Boyle, a Canadian American, and George Smith of the United States shared the other half of the prize. Boyle and Smith were honored for inventing the first successful imaging technology using a digital sensor. Boyle, 85, and Smith, 79, also are retired." This year's Nobel Prize in physics is awarded for two scientific achievements that have helped to shape the founda¬tions of today's networked societies," the Nobel Committee for Physics at the Royal Swedish Academy of Sciences said in a statement."They have created many practical inventions for everyday life and provided new tools for scientific exploration," the statement read.50. What is the best title of this passage?A. Shanghai-born Kao 1 of 3 Nobel Prize winners in physicsB. Three old men won Nobel Prize in physics.C. The 2009 Nobel Prize for physics was awarded to applied scientists.D. Scientists from three countries won the 2009 Nobel Prize for physics51. What does the underlined word "eminent" mean?A. great and wonderfulB. famous and honoredC. brilliant and normalD. serious and honest52. How much did Willard Boyle get from the Nobel Prize?A. $175,000B. 350,000C. $700,000D. $1,400,00053.The reason why the Nobel Prize for Physics was awarded to the three scientists isthat________.A. they made the way for the Internet ageB. They devoted themselves to applied scienceC. they have made great contributions to the history of the world.D. their inventions are of great use in the daily life and they give people new accesses to explore the world.CChinese reports say the country's vast pool of cheap labor is getting smaller, which could hurt an economy that heavily depends on labor-intensive manufacturing (劳动密集型生产). China's vast supply of low-cost labor has been the backbone of its rapid economic increasing in the past three decades. But according to a leading research organization, the Chinese Academy of Social Sciences, the days of a limitless oversupply of workers are coming to an end.The academy's research shows that China's rural labor surplus(剩余), the source of workers for the country's factories, is about 50 million people—far less than the previously estimated 150 to 200 million.Jonathan Unger, a director of the Contemporary China Center at the Australian National University, says fewer rural residents are willing to leave their farms today. This is partly because there are more employment opportunities in rural areas, and because agriculturalprices have gone up."And at the same time taxes in the countryside, fees in the countryside have gone down because of new sets of government policies." he explained, "And so people are not eagerly forced in the way they were five, six years ago to leave the farm in order to earn enough money for their families, in order to help support their families at home."The Chinese Academy of Social Sciences says another reason for the reduced labor pool is the country's population policy, which allows city people to have just one child, and farmers up to two if the first one is a girl.A United Nations study predicts that China's workforce will reach its top in 2015 and then gradually drop. Some of China's major manufacturing areas, such as Guangdong province, already face labor shortages (短缺).Some economists think these shortages are, at least for now, a regional rather than a national problem. Sun Mingchun, an economist with investment bank Lehman Brothers in Hong Kong, points out that there are still millions of people in China who can not find work. "There are still three to four million people who can't find a job."The average monthly income of rural workers has increased significantly in the past few years, going up 11 -and-a-half percent in 2006 and 20 percent in 2007. Sun and Unger say the main reason why wages have gone up is inflation which means spending power has not risen as much.54. According to the academy's research, China's rural labor surplus today is_____.A. about 150 millionB. about 50 millionC. about 200 millionD. about 175 million55. The reason why many more rural people won't leave their farms today is that______.A. the farmers are older than beforeB. the farmers are lazier than beforeC. the farmers have much more moneyD. there are more employment opportunities in rural areas and agricultural prices have gone up56. Which one of the following statements is TRUE?A. People think China's workforce will come to the top in 2015.B. Now a study shows millions of people can't find work in China.C. The country's population policy isn't a reason for the reduced labor.D. Five years ago, few farmers left their homes to earn money for supporting their families.57. According to some economists, what is the reason for farmer's wages going up?A. Spending power has risen as much as the economyB. The economy is growing greatlyC. The society is greatly developingD. InflationPart Two (1 point for each question. Total: 16 points )The Life of a TreeHow can a tree go from being the height of a person to the height of a five-story building? Like all living things, trees are made up of cells. Many types of cells work together to make up a tall tree.Just like most other plants, trees have three main parts: the roots, the stem, and the leaves. The roots run deep in the ground to help support the tree. They absorb water and mineralssuch as nitrogen and calcium from the soil to help the tree grow.The stem helps lift the leaves and flowers to the light. It's important that the leaves reach the sunlight, because the leaves need light to do their job of producing food for the tree. The stem also transports water and food to and from different parts of the tree. The stem of a tree consists of its trunk and branches.The leaves absorb carbon dioxide and solar energy from the atmosphere and combine them with water and minerals to form carbohydrates (碳水化合物). These carbohydrates, which include starch and sugar, provide food for other parts of the plant. Oxygen left over from this process is released into the atmosphere. This process is called photosynthesis. Al¬most every living thing depends on photosynthesis for oxygen so it can breathe.When a tree grows in the spring, a layer of cells called the cambium (形成层)begins di¬viding very quickly. These new cells form on both the inside and the outside of the cambium layer. They add to the overall diameter of the tree. The cells that move to the outside of the cambium layer become part of the phloem. Phloem cells carry food produced in the leaves to the branches, trunk, and roots. Each year some phloem dies and becomes part of the bark. Most of the new cells form on the inside of the cambium layer. These cells become xylem (木质部) cells and make up most of the growth of the diameter of the tree. It's the job of the xyllem cells to carry water and nutrients from the roots to the leaves.Trees continue to grow until old age. Their diameters always increase, but the vertical growth tapers off (逐渐变细) because the trees have difficulty transporting nutrients to bran¬ches that are far from the roots. The top branches eventually dry out.Trees provide more than just shade — they help provide us with the breath of life!Recalling facts58. Trees are made up of ________.A. sticks.B. bones.C. cells.59. The _________ carries water and minerals from the roots to the leaves.A. cambium layerB. xylem cellsC. phloem cells60. The most important element needed for leaves to produce food for the tree is ______.A. a low temperature.B. sunlight.C. space.61. A tree feeds on ________.A. oxygen.B. nitrogen.C. carbohydrates.62.By what process do the leaves create food?A. photosynthesisB. mineral absorptionC. xylem processUnderstanding ideas63. When new cells form on both sides of the cambium layer, the diameter of the tree _____A. decreases.B. increases.C. remains the same.64. The article suggests that a tree with dry top branches is _________A. old.B. young.C. dead.65. If tree A has a diameter of 1 meter and tree B has a diameter of 2 meters, it's most likely that_________A. tree B is older than tree A.B. tree B is younger than tree A.C. both trees are the same age66. From the article, you can assume that if there were no trees there would be _______A. more oxygen.B. no change in the amount of oxy¬gen.C. less oxygen.67. You can conclude from the article that photosynthesis is importantA. only to humans.B. only to trees.C. to trees and humans.Tree Rings: Diary of a LifeTrees hold many secrets in their trunks. Tree rings can help us not only determine how old the tree is but also tell the natural history of an area. The science of studying tree rings is called dendrochronology. A tree ring is simply a layer of wood produced during one growing season. The layer is produced in springtime. During a good year with plenty of food and rainfall, a tree will add a thick layer of tissue that shows up as a fat tree ring. In years where he resources are scarce, the tree will produce only a thin ring.Trees also respond to weather patterns. Temperature, rainfall, and other environmental conditions — such as fires — can affect the tree's growth and alter the size of the tree ring. The tree rings can also reflect a year in which there were insect plagues (瘟疫).Though all trees don't respond to environmental changes in the same way, trees can be a valuable source or learning about our past. Scientists can try to determine what natural conditions occurred during times of heavy fires or droughts.The bristlecone pines in the Rocky Mountains are among the oldest living things on Earth. Some are more than 5,000 years old. Scientists studying global weather patterns hope to use these trees to predict future weather patterns and climate changes. The key to our future may well have been written in the past.Making Correct InferencesTwo of the statements below are correct inferences, or reasonable guesses. They are based on information in the passage. The other statement is an incorrect, or faulty, inference. Mark the statements A for correct inference and B for faulty infer¬ence.68. Dendrochronologists are interested in natural history.69. Tree rings provide information about insect damage.70. Tree rings provide a record of when tornadoes hit an areaUnderstanding Main IdeasOne of the statements below expresses the main idea of the passage. One statement is too general, or too broad. The other ex¬plains only part of the passage; it is too narrow. Mark the statements A for main idea, B for too broad, and C for too nar¬row.71.Tree rings can provide us with important information about our past and future.72. A tree ring forms in spring time.73. Many things occur during the life of a tree.第二卷IV. Complete the sentence with the right word. The first letter of the word is given. (10 points)1. The booker is scouting around for a would-be model with s____ features.2. After cosmetic surgery, the 50-year-old actress has some big changes to her face, whichlooks a____3. Having had his ear p____, the unconventional man decided to buy an earring.4. It is e____ that the forgetful students should take notes on what the teachers say in class.5. On hearing the aggressive words, the quick-tempered man q____ with anger and leapt to his feet.6. I tried in vain to fix the tap, so I had to call in a p____ to help.7. People usually s____ confetti over the bride and bridegroom at the wedding.8. He had his crooked (不直) teeth s____.9. They p____ camp for the night near the river and cooked some food.10. The house was in c____ after the party.V. Choose the right word or phrase to complete the sentence. Change its form if necessary. There are 2 more on the list. Each of the rest can only be used once. (10 points)1. He is to blame for ______________others’ weaknesses.2. The houses in the small town are famous for their ______________ styles.3. ______________ the 17th century, the temple needs repairing.4. He ______________ two pairs of shoes last year.5. ______________ his health problem, the hard-working teacher went to consult the doctor.6. The physics teacher gave me ______________instructions and told me exactly what to do next.7. Although the criminal ______________ 5years ago, he was finally caught by the police.8. The property ______________ by her uncle was returned to her last week.9. The mother ______________ her son’s safety when she didn’t hear from him for 3 months.10. The guests left the party midway for ______________ the bad treatment.VI. Correction . (10 points) .此题要求在答题卡上改正所给短文中的错误。