2013年成外试题(本地生) 2

2013年四川省成都市实验外国语学校小升初入学数学试卷（本地生）一、解答题（共1小题，满分20分）1．（20分）计算题28﹣﹣=2÷1+2×=×2.5×8=80%×1.25×4=×24÷=[（+1）×﹣0.75]÷=85×0.75+15×75%=×（+）÷=×（﹣）÷=×5.25+3.75÷8+=二、选择题（把正确的答案的番号填在括号里．每小题3分，共15分）2．（3分）某商店去年5月份提价25%，今年5月份要恢复原价，则应降价（）A．15% B．20% C．25% D．30%3．（3分）若四个数a、b、c、d，满足a+1=b﹣2=c+3=d﹣4，则a、b、c、d这四个数中最大的是（）A．a B．b C．c D．d4．（3分）用8个球设计一个摸球游戏，使摸到白球与摸不到白球的可能性一样大，摸到红球的可能性比摸到黄球的可能性大，则游戏可设计满足上述条件的白、红、黄的个数可能为（）A．4，2，2 B．3，2，3 C．5，2，1 D．4，3，15．（3分）一个圆柱和一个圆锥，底面周长的比是2：3，它们的体积比是5：6，则圆锥与圆柱高的最简整数比是（）A．5：8 B．12：5 C．8：5 D．5：12三、填空题（每小题3分，共15分）6．（3分）甲、乙两个容积相同的瓶子分别装满盐水，已知甲瓶中盐与水的比是2：9，乙瓶中盐与水的比是3：10．现在把甲、乙两瓶盐水混合在一起，那么混合盐水中盐与水的比是．7．（3分）一批本子分发给六年级一班学生，平均每人分到12本．若只发给女生，平均每人可分到20本，若只发给男生，平均每人可分得本．8．（3分）为使某工程提前20天完成任务，需将原定工作效率提高25%，则原计划完成这项工程需要天．9．（3分）自然数a、b、c、d、e都大于1，其乘积abcde=2000，其和a+b+c+d+e 的最大值是，最小值是．10．（3分）观察下列按顺序排列的等式：9×0+1=1，9×1+2=11，9×2+3=219×3+4=31，9×4+5=41，…，猜想：第n个等式应为．四．计算题（每小题24分，共24分）11．（24分）计算题×[÷（﹣0.25）]×[7﹣4÷（+）]（2+3+1）÷（++）1+3+5+7+9+11+++…++++…+．五、解答下列各题（共46分）12．（5分）施工队有一批水泥，用去30%后，又运来160袋，这时的水泥比原来多．原来的水泥有多少袋？13．（5分）两列火车从甲乙两地同时相对开出，4小时后在距中点48千米处相遇．已知慢车是快车速度的，快车和慢车的速度各是多少？甲乙两地相距多少千米？14．（5分）一件商品按20%的利润定价，然后按8.8折卖出，实际获得利润84元，这件商品的成本是元．15．（5分）有甲、乙两项工作，张师傅单独完成甲工作要9天，单独完成乙工作要12天．王师傅单独完成甲工作要3天，单独完成乙工作要15天．如果两人合作完成这两项工作，最少需要多少天？16．（5分）有一串真分数，按下列规律排列：，，，，，，，，，，…，那么第100个分数是几分之几？17．（5分）如图，在梯形ABCD内有两个三角形的面积分别是10与12，已知梯形的上底AB的长是下底DC的长的，那么余下的阴影部分的面积是多少？18．（6分）已知a n+1=n=（1，2，3…，2002），求当a1=1时，a1a2+a2a3+a3a4+…+a2002a2003的值．19．（10分）探索与发现：已知△ABC，看图填出（1）、（2）、（3）中的空并解答（4）、（5）中的问题．（1）在图1中，若D1、E1分别是AB、BC的中点，则阴影部分与△ABC的面积比等于．（2）在图2中，若D1、D2分别为AB的三等分点，E1、E2分别为BC的三等分点，则阴影部分与△ABC的面积比等于．（3）在图3中，若D1、D2、D3分别为AB的四等分点，E1、E2、E3分别为BC的四等分点，则阴影部分与△ABC的面积比等于．（4）若设三角形边AB、BC的等分点数都为a，请探索（1）、（2）、（3）中阴影部分与△ABC的面积关系，求出等分点数位a时，阴影部分与△ABC的面积比等于多少？（用含a的代数式表示）．（5）根据（4）中的结论求出在图4中，若D1、D2、D3，…D8分别为AB的九等分点，E1、E2、E3，…E8分别为BC的九等分点时，阴影部分与△ABC的面积比等于多少？2013年四川省成都市实验外国语学校小升初入学数学试卷（本地生）参考答案与试题解析一、解答题（共1小题，满分20分）1．（20分）计算题28﹣﹣=2÷1+2×=×2.5×8=80%×1.25×4=×24÷=[（+1）×﹣0.75]÷=85×0.75+15×75%=×（+）÷=×（﹣）÷=×5.25+3.75÷8+=【解答】解：（1）28﹣﹣=28﹣（+）=28﹣1=27；（2）2÷1+2×=+=；（3）×2.5×8=×（2.5×8）=×20=16；（4）80%×1.25×4=1×4=4；（5）×24÷=8=24；（6）[（+1）×﹣0.75]÷=[×﹣0.75]÷=[﹣0.75]×12=×12﹣0.75×12=20﹣9=11；（7）85×0.75+15×75%=（85+15）×75%=100×75%=75；（8）×（+）÷=×÷==；（9）×（﹣）÷=×÷=÷=；（10）×5.25+3.75÷8+=×（5.25+3.75+1）=×10=．二、选择题（把正确的答案的番号填在括号里．每小题3分，共15分）2．（3分）某商店去年5月份提价25%，今年5月份要恢复原价，则应降价（）A．15% B．20% C．25% D．30%【解答】解：（1+25%﹣1）÷（1+25%）=0.25÷1.25=20%答：则应降价20%．故选：B．3．（3分）若四个数a、b、c、d，满足a+1=b﹣2=c+3=d﹣4，则a、b、c、d这四个数中最大的是（）A．a B．b C．c D．d【解答】解：设a+1=b﹣2=c+3=d﹣4=10，可得a=9，b=12，c=7，d=14，所以d最大．故选：D．4．（3分）用8个球设计一个摸球游戏，使摸到白球与摸不到白球的可能性一样大，摸到红球的可能性比摸到黄球的可能性大，则游戏可设计满足上述条件的白、红、黄的个数可能为（）A．4，2，2 B．3，2，3 C．5，2，1 D．4，3，1【解答】解：因为摸到白球与摸不到白球的可能性一样大，摸到红球的可能性比摸到黄球的可能性大，所以白球4个，红球3个，黄球1个．故选：D．5．（3分）一个圆柱和一个圆锥，底面周长的比是2：3，它们的体积比是5：6，则圆锥与圆柱高的最简整数比是（）A．5：8 B．12：5 C．8：5 D．5：12【解答】解：设圆柱的底面半径是2，则圆锥的底面半径是3，设圆柱的体积是5，则圆锥的体积是6，则：[6×3÷（π×32）]：[5÷（π×22）]==8：5答：圆锥与圆柱高的最简整数比是8：5．故选：C．三、填空题（每小题3分，共15分）6．（3分）甲、乙两个容积相同的瓶子分别装满盐水，已知甲瓶中盐与水的比是2：9，乙瓶中盐与水的比是3：10．现在把甲、乙两瓶盐水混合在一起，那么混合盐水中盐与水的比是59：227．【解答】解：甲中含盐：2÷（2+9）=，乙中含盐：3÷（3+10）=，则混合后盐水中盐与水的比为：（+）：[（1﹣）+（1﹣）]，=：，=59：227；故答案为：59：227．7．（3分）一批本子分发给六年级一班学生，平均每人分到12本．若只发给女生，平均每人可分到20本，若只发给男生，平均每人可分得30本．【解答】解：因为总本书一定，则人数与每人分得的本数成反比，12：20=3：5，所以女生人数占全班的，男生人数占全班的（1﹣），设男生平均每人可分得x本，可得：x：20=：x=30答：只发给男生，平均每人可分得30本．8．（3分）为使某工程提前20天完成任务，需将原定工作效率提高25%，则原计划完成这项工程需要100天．【解答】解：设原计划完成这项工程需要x天，则x：（x﹣20）=（1+25%）：11.25（x﹣20）=x1.25x﹣25=x0.25x=250.25x÷0.25=25÷0.25x=100答：原计划完成这项工程需要100天．故答案为：100．9．（3分）自然数a、b、c、d、e都大于1，其乘积abcde=2000，其和a+b+c+d+e 的最大值是133，最小值是23．【解答】解：2000=24×53最大：a+b+c+d+e=2+2+2+2+5^3=133最小：a+b+c+d+e=4+4+5+5+5=23故答案为：133，23．10．（3分）观察下列按顺序排列的等式：9×0+1=1，9×1+2=11，9×2+3=219×3+4=31，9×4+5=41，…，猜想：第n个等式应为9（n﹣1）+n=10n﹣9．【解答】解：根据9×0+1=1，9×1+2=11，9×2+3=219×3+4=31，9×4+5=41，…：第n个等式应为：9（n﹣1）+n=10n﹣9．故答案为：9（n﹣1）+n=10n﹣9．四．计算题（每小题24分，共24分）11．（24分）计算题×[÷（﹣0.25）]×[7﹣4÷（+）]（2+3+1）÷（++）1+3+5+7+9+11+++…++++…+．【解答】解：（1）×[÷（﹣0.25）]=×[÷（﹣）]=×[÷]=×[×]=×4=（2）×[7﹣4÷（+）]=×[7﹣4÷]=×[7﹣5]=×2=（3）（2+3+1）÷（++）=（++）÷（++）=5×（++）÷（++）=5（4）1+3+5+7+9+11=（1+3+5+7+9+11）+（++++）=36+（+﹣+﹣+﹣+﹣）=36+（﹣）=36+=36（5）+++…+=2×（﹣）+2×（﹣）+…+2×（﹣）=2×（﹣）=（6）+++…+=×（1﹣+﹣+﹣+…+﹣）=×（1﹣）=五、解答下列各题（共46分）12．（5分）施工队有一批水泥，用去30%后，又运来160袋，这时的水泥比原来多．原来的水泥有多少袋？【解答】解：设原来储存水泥的x袋，由题意得，（1）x﹣（1﹣30%）x=160x x=1600.4x=160x=400答：原来储存水泥400袋．13．（5分）两列火车从甲乙两地同时相对开出，4小时后在距中点48千米处相遇．已知慢车是快车速度的，快车和慢车的速度各是多少？甲乙两地相距多少千米？【解答】解：甲乙两地相距：48×2÷（7﹣5）×（7+5）=96÷2×12=48×12=576（千米）；快车和慢车的速度分别是：576÷4×=144×=84（千米/时）；84×=60（千米/时）；答：快车的速度是每小时84千米，慢车的速度是每小时60千米，甲乙两地相距576千米．14．（5分）一件商品按20%的利润定价，然后按8.8折卖出，实际获得利润84元，这件商品的成本是1500元．【解答】解：设成本价是x元，由题意得：（1+20%）x×88%﹣x=84，1.2x×0.88﹣x=84，1.056x﹣x=84，0.056x=84，x=1500（元）；答：这件商品的成本价是1500元．故答案为：1500．15．（5分）有甲、乙两项工作，张师傅单独完成甲工作要9天，单独完成乙工作要12天．王师傅单独完成甲工作要3天，单独完成乙工作要15天．如果两人合作完成这两项工作，最少需要多少天？【解答】解：分配任务，王师傅完成甲工作的时间少，先做3天甲工作，就完成了，张师傅完成乙工作的时间少，先做3天乙工作，剩下的工作量是：1﹣×3=1﹣=，还需要的天数：÷（+）=，=×，=5（天），共有的天数：3+5=8（天），答：最少需要8天．16．（5分）有一串真分数，按下列规律排列：，，，，，，，，，，…，那么第100个分数是几分之几？【解答】解：因为：1+2+3+…+13=（1+13）×13÷2=91（个）所以，第91个分数是分母为13+1=14的最后一个分数，所以，第100个分数分母为14+1=15，且分子是100﹣91=9的分数，即是．答：第100个分数是．17．（5分）如图，在梯形ABCD内有两个三角形的面积分别是10与12，已知梯形的上底AB的长是下底DC的长的，那么余下的阴影部分的面积是多少？【解答】解：设上底长为2a，下底长为3a，三角形AOD的高为h，则三角形BCO 的高为x，则x是：（2a×h）：（3a×x）=10：12 解之得：x=h那么梯形的高为：h+h=h又因为三角形AOD面积为10，可知：ah=10梯形面积为：（2a+3a）×h÷2=ah=×10=45故阴影面积为：45﹣（10+12）=23答：阴影部分的面积是23．18．（6分）已知a n+1=n=（1，2，3…，2002），求当a1=1时，a1a2+a2a3+a3a4+…+a2002a2003的值．=【解答】解：因为a n+1当当a1=1时a2==a3==…a2003=所以a1a2+a2a3+a3a4+…+a2002a2003=+…=（1）+（）+…（）=1﹣=19．（10分）探索与发现：已知△ABC，看图填出（1）、（2）、（3）中的空并解答（4）、（5）中的问题．（1）在图1中，若D1、E1分别是AB、BC的中点，则阴影部分与△ABC的面积比等于3：4．（2）在图2中，若D1、D2分别为AB的三等分点，E1、E2分别为BC的三等分点，则阴影部分与△ABC的面积比等于2：3．（3）在图3中，若D1、D2、D3分别为AB的四等分点，E1、E2、E3分别为BC的四等分点，则阴影部分与△ABC的面积比等于5：8．（4）若设三角形边AB、BC的等分点数都为a，请探索（1）、（2）、（3）中阴影部分与△ABC的面积关系，求出等分点数位a时，阴影部分与△ABC的面积比等于多少？（用含a的代数式表示）．（5）根据（4）中的结论求出在图4中，若D1、D2、D3，…D8分别为AB的九等分点，E1、E2、E3，…E8分别为BC的九等分点时，阴影部分与△ABC的面积比等于多少？【解答】解：（1）因为D1、E1分别是AB、BC的中点，所以△BD1E1∽△BAC，所以，即，因为D1是AB的中点，所以，所以阴影部分与△ABC的面积比等于：（）：1==3：4（2）因为D1、E1分别是AB、BC的三等分点，所以△BD1E1∽△BAC，=S△ABC，所以S△ABC因为D2、E2分别是AB、BC的三等分点，所以△BD2E2∽△BAC，所以=S=S△ABC，△ABC，所以=S△ABC，因为=S△ABC所以阴影部分与△ABC的面积比等于：（）：1==2：3（3）因为D1、E1分别是AB、BC的四等分点，所以△BD1E1∽△BAC，=S△ABC，所以=S△ABC因为D2、E2分别是AB、BC的四等分点，所以△BD2E2∽△BAC，=S△ABC，所以=S△ABC，所以=S△ABC因为D 3、E3分别是AB、BC的四等分点，所以△BD3E3∽△BAC，所以=S=S△ABC，△ABC，所以==S△ABC，因为=S△ABC所以阴影部分与△ABC的面积比等于：（）：1==5：8（4）等分点数位a时，阴影部分与△ABC的面积比是：（）：1===（a+1）：2a（5）E1、E2、E3，…E8分别为BC的九等分点时，阴影部分与△ABC的面积比是：（9+1）：（2×9）=10：18=5：9．故答案为：3：4；2：3；5：8．附加：小升初数学总复习资料归纳典型应用题（1）和差问题：已知大小两个数的和，以及他们的差，求这两个数各是多少的应用题叫做和差问题。

成都外国语学校2013年初升高招生考试化学试卷注意事项：1.本卷分为第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分，全卷满分为100分，考试时间为60分钟2.请将第Ⅰ卷（选择题）答案填在试卷答题卷内，第Ⅱ卷为（非选择题），直接做在答题卷上。

可能用到的相对原子质量：H—1，C—12，N—14，O—16,，Mg—24，Al—27，K—39，Mn—55，Cu—64第Ⅰ卷（选择题共30分）一、选择题（本大题15个小题，每个小题2分，共30分。

每小是只有一个选项符合题意，请将正确答案的序号填写在答题栏对应的空格中）1．在探索地球上生命的起源活动中，美国科学家米勒（lte）做了一个著名的实验，他模拟原始大气的成分，将甲烷、氨气和水蒸气混合，放入真空的玻璃仪器中进行实验。

一个星期后，他发现仪器中果然有数据氨基酸生成。

你从米勒的实验中能得出的结论是（）A.一定发生了化学变化B. 没有发生化学变化C.无法判断是否发生了化学变化D. 一定没有发生物理变化2．下列关于空气成分的说法错误的是（）A.氮气约占空气质量的78%B. 空气中的氧气主要来自植物的光合作用C. 稀有气体通电发光是物理变化D. 饼干在空气中变软是因为空气中含有水蒸气3．石头纸是一种新型、环保纸张，与传统的木桨纸不同，是将碳酸钙粉末加上15%的聚乙烯和5%的胶合剂，经特殊工艺处理后制成。

下列说法不正确的是（）A. 聚乙烯是一种有机高分子化合物B. 石头纸的应用能减少对树木的砍伐C. 利用盐酸可以区别石头纸和木浆纸D. 石头纸易溶于水，可以回收利用4．竹炭的吸附能力是木炭的5倍以上，其主要成分竹炭纤维的化学式可表示为（C6H10O5），下列说法错误的是（）nA. 竹炭能净化室内空气B. 竹炭和木炭的成分相似C. 每个竹炭纤维分子中含有6n个碳原子D. 竹炭纤维中C、H、O三种元素的质量比为36：5：405．下面是某同学整理的部分化学知识，你认为正确的是（）①带电的微粒一定是离子②由同种分子构成的物质叫纯净物③由同种元素组成的物质一定是单质④质子数相同的粒子一定属于同种元素A.都对B.①②④C. ②③④D. 都不对6．铝碳酸镁是一种天然矿物，它的用途是作为新型抗酸药，用于治疗胃酸过多症等，其化学式为Al2Mg6(OH)X CO3﹒4H2O。

2013年成外小升初外地生考试真题及解析一、基础知识选择题（每题3分，共30分）1.下面加点字的读音完全正确的一项是（）A参．差（cān）翘．首（qiáo）装模．作样（mó）B细菌．（jūn）魁梧．（wǔ）扣人心弦．（xuán）C储．藏（zhù）允．许（yǔn）谆．谆教诲（chún）D怪癖．（pǐ）坎坷．（kě）毛遂．自荐（suì）答案：DA参差（cēn）装模作样（mú）B魁梧．（wú）扣人心弦．（xián）C储．藏（chù）谆．谆教诲（zhūn）考点：字音字音题是成外小升初必考题之一。

此题要求考生在识记字音的同时，要能够正确的拼写。

这类题侧重于考查识记、辨别、正确拼写汉字字音的能力。

易考方式：①多音字区分。

如此题涉及的“参，翘”，此外还有经常考查的多音字如“倔”“和”等。

多音字的记忆方法：首先应从词语含义上区别；其次要注意区别不同读音的词性；再者要记少不记多（如“倔老头”只有这一种情况下读“juè”，其余都读“jué”，如“倔强”）；最后可通过书面语和口头语的不同进行记忆（如“血”这个词可采用此种方法进行记忆，书面时读“xuè”，口语时读“xiě”）。

②习惯性误读。

如“癖”，怪癖，癖好，很多孩子容易读成四声，这个字只有一个读音，正确的读法是“pǐ”；再如，“黝”，黝黑，黑黝黝，易读成一声，正确读音是“yǒu”。

③地方方言错误。

这是方言地区的学生容易犯的错误。

平时应注意用标准的普通话交流，避免长期说话不标准，造成误读。

题型：①读拼音，写字、词；②给汉字注音；③多音字；④划去不正确的读音；⑤选出读音完全正确的选项。

备考方法：①复习北师版四年级、五年级、六年级语文课本涉及的生字、生词（多音字)；②制定每日复习计划（如每天要掌握多少个多音字、多少个词语）；③适当积累语文课外知识。

成都外国语学校2013年直升考试英语注意：本试卷分听力和笔试两部分。

考试时间120分钟，满分150分Part A Listening TestPart I. Listen to 5 questions or sentences and choose the correct response according to what you5veheard. Each question or sentence will be read onlyonce.(5 marks)1. A. Heard it. B. Made it. C. Forgot it. D. Got it.2. A. Take your time B. All the best! C. Well done! D. That’s OK.3. A. You’re welcome. B. Go ahead. C. It doesn’t matter. D. Sure.4. A. I’d love to. B. My duty. C. My pleasure. D. All right.5. A. Neither do I B. Nor will I. C. So will I. D. So won’t I.Part II. Listen to 5 short dialogues and choose the correct answer to the question. Each dialogue and question will be read only once (5 marks)6. A. Go out with her friend.B. Work on her paper.C. Make some plans.D. Have a rest.7. A. At the office. B. Away on holiday. C. On his way to work. D. Home inbed.8. A. A maths teacher and his colleague.B. A teacher and his student.C. A student and his classmate.D. A librarian and a student. ..9. A. Twice a week. B. Every day. C. Every two days. D. Every three days.10. A. She has already been to the concert.B. Betty is asking her to the concert.C. Betty has left for the concert.D. The man could go with Betty.Part III. Listen to a short talk and judge the following statements. If it，s true, choose A; if it’s false, choose B. The short talk will be read twice. (5 marks)11. Kate teaches music and physical training at school.12. Kate makes her lessons interesting and gives students little homework.13. Classes begin at 8:30 in Kate’s school.14. Kate stays at school for about 9 hours every day.15. Kate meets her students’ parents, and talks with them when they come to pick up the children.Part IV. Listen to a conversation and choose the correct answers to the questions. The conversation will be read twice. (5 marks)16. How much pocket money does Lily get a month?A. About 20 pounds.B. About 15 pounds.C. About 5 pounds,D. About 14 pounds.成外2013直升考试英语试卷第1页共12页17. Why does Lily want more pocket money?A. To get as much as her friends.B. To pay for music lessons.C. To pay for books.D. To buy some clothes.18. When can Lily have more pocket money?A. When she proves good at her school work.B. When she no longer argues with her mum.C. When she is old enough in her mum's eyes.D. When she takes a part time job.19. What does David suggest Lily do?A. Have a discussion with her mum.B. Help her mum with housework.C. Sit down and wait calmly. .D. Not talk with her mum.20. Which of the statements is NOT true?A. David thinks five founds a week is enough.B. Mura doesn5t want Lily to lake a part time job.C. Lily has as much pocket money as her friends have.D. Mum is not satisfied with Lily’s school work.Part V. Listen to two passages and choose the correct answers to the questions. Each passage will be read twice. (10 marks)(A)21. How long is the Centre open?A. For 5 months.B. For 8 months.C. For 10 months.D. For 6 months.22. What can people do in the Centre?A. Learn basketball.B. Climb walls.C. Play table tennis.D. Swimming.23. What can people get if they pay for a day?A. A meal.B. A room.C. Drinks.D. Three meals.24. What can people do to know more about the Centre?A. Call Pete Wright.B. Come as part of a group.C. Visit the office in person.D. Visit the website.25. Which of the following statements is true?A. You can’t contact the manager after 5:30 P.M.B. Group bookings are less expensive.C. They don’t receive children and old people.D. You can5t find a restaurant in the centre.(B)26. What is the main topic of this talk?A. To understand a person you don’t need to listen to him.B. The importance of politeness.C. How to understand the meaning of one's words.D. The importance of body language.27 • How can you sometimes learn more about a person?A. By talking with him.B. By listening to him.成外2013直升考试英语试卷第2页共12页A. His eyes are moving around.B. He is standing still.C. He says he’s interested.D. He is smiling.29. What do we know if a person is tapping his foot?A. He wants to talk.B. He doesn’t like the place.C. He wants to get away.D. He doesn’t like you.30. What can we learn from what the speaker said?A. Signs sometimes give you wrong information.B. A fast speaker often uses body language.C. Signs are usually used on TV.D. Signs can help one follow a speaker along.Written testI. Multiple choice (15 marks)Choose the best answer according to the context.31. —Let’s eat out today.—OK. I'll call the restaurant and make a reservation.A. make a bookingB. ask for the menuC. take up a seatD. order food32. We totally understand each other, even if we don’t always agree.A. as thoughB. even thoughC. as ifD. even when33. This is special school accepts all disabled students, regardless of educational level or background.A. because ofB. according toC, without considering D. based on34. I’m not paying that much for a CD player. I wasn’t born yesterday. I know it's not that expensive.A. I’m not easy to fool.B. Yesterday was not my birthday.C. I don’t have enough money.D. I’m an adult.35.1 see no reason why students shouldn’t voice their opinions.A. I don’t think students should give their opinions because there are no reasons.B. I think students have the right to express their opinions.C. I think there is no reason for students to express their opinions.D. I think students can express their opinions if there are good reasons.36. They grew up in the countryside, surrounded by beauties of nature.A. 不填；不填B.不填；theC. the；theD. the；不填37. -I haven't seen Tom for two years. Any news about him?-He in a toy factory two years ago. Now he's working on a farm.A. worksB. workedC. has workedD. had worked成外2013直升考试英语试卷第3页共12页38.I him not to go abroad, but he wouldn’t listen.A. persuadedB. tried to persuadeC. have persuadedD. was persuaded39.—Excuse me sir, where is Room 301? .—Just a minute. I’ll have Bob you to your room.A. showB. showsC. to showD. showing40.一Excuse me, whose Japanese book is this?-It _ Tom’s. In our class, only he is studying Japanese.A. can’t beB. must beC. mustn't beD. would be41.一What has made her so sad?一in the physics examination.A. Because she failedB. FailingC. Because of failingD. Since she failed42. Take the medicine three times a day and three piecesA. at a timeB. at one timeC. for one timeD. for a time43—I’m going to take my driving test tomorrow.-A. Cheer upB. Good luckC. Come onD. Congratulations44. These shoes look very nice. I wonderA. how much cost they areB. how much they costC. how much are they costD. how much do they cost45. Bronco Mcloughlin was born in Ireland but it was in Australia he learned how to ride horses.A. whereB. thatC. in whichD. whenII. Close Test (15 marks)A man once had a dream about the Black Forest in Germany. In his dream he was walking in the forest._46 two men ran out and tried to 47 him on the ground. He ran off as fast as he 48 ，but they 49 . He reached a place where he saw two separate roads in front of him. One to the right and 50 to the left. Which road 51 he take? He heard the two men behind him 52nearer and nearer, and 53 he heard a voice in his car. It 54 him to go to the right, and he did 55 .He ran on and soon came to a small hotel. He 56 there kindly and given a room, and so he was saved from the two men.Twenty years later he was again in the Black Forest and, as happened in the dream two men ran out and tried to throw him down. He ran off and came to a place 57 two roads, as in the dream. He 58 the dream and took the road 59. He soon 60 a small hotel, was taken in，and so was safe. His dream of twenty years before saved his life.46. A. where B. suddenly C. until D. when47. A. throw B. catch C. keep D. take成外2013直升考试英语试卷第4页共12页48. A. did B. would C. could D. might49. A. followed B. stopped C. caught up D. went away50. A. other B. next C. the other D. another51. A. would B. did C. should D. might52. A. getting B, becoming C. marching D. following53. A. at a time B. for some time C. at the same time D. after a time54. A. shouted at B. showed C. told D. needed55. A. it B. that C. so D. too56. A. stood B. was received C. got D. was refused57. A. before B. of C. with D. between58. A. thought about B, went back to C. forgot D. remembered59. A. in the .middle B. to the right C. to the left D. to a hotel60. A. arrived B. entered C. reached D. sawIII. Reading Comprehension (15 marks)Read the following passages and choose the best answersAThere is a story going, round at the moment about a well-known journalist who went to interview Jack Parrish at a smart New York restaurant. The journalist was late. But fortunately when he arrived he found the great man was not yet there. After fifteen minutes a waiter approached him. “ There’s some young man at the door who says he，s supposed to be having lunch with you. I think he，s trying to be funny because he says his name is Jack Parrish” But of course it was. The twenty four-year old is becoming famous for the fact that he doesn’t look like the owner of one of the world's most successful computer companies. His manner is polite, his voice is quiet and his clothes are clearly not expensive. Two years ago when he started his own company, no one had heard of him. Friends say that he hasn’t changed at all. He hasn’t, eyen moved out of his parents，house. So what does he do with his money? It，s all in his company. Some people in the computer world are getting nervous and they are right. It won’t be long before someone in another company picks up the phone toh 3ar that quiet voice saying that the new boss.61. We can find out from this textA. how Jack Parrish runs his businessB. what Jack Parrish said in an interviewC. how to get a job in Jack Parrish’s companyD, the writer knows what Jack Parrish will so next.62. What is the writer trying to do in the text?A. To say how to make a lot of money.B. To give some information about a businessman.C. To give some information about a journalist.D. To explain how to interview successful people63. The waiter thought the young man at the door of the restaurant .A. was a journalistB. was not as old as he said he wasC. was behaving rudelyD. was joking成外2013直升考试英语试卷第5页共12页64. What doss the writer think of Jack Parrish?A. He is more important than he appears.B. He is a good example for young people to be polite.C. He doesn't like new changes.D. He would make people nervous to work with him.65. Which of these headlines does the writer expect to see soon?A. Too much success, too fast-was that the end of Parrish’s luck?B. Jack Parrish doesn't worry about money—he gives it away to old friendsC. And the new owner of our top computer company is Jack ParrishD. SPENDSPENDSPEND—how Jack furnishes his new million-dollar homeBOn my way home from work one day in 1994，I stopped at a supermarket for shopping. I was behind two customers. The person checking out was a young mother with her little girl. As the cleric was scanning (扫描）the things she had chosen, the young lady was carefully counting her money, worried. After the last thing was scanned, the clerk told the young mother the total.The young mother's expression turned to embarrassment as she realized she did not have enough money. She started to see which things to put back, and nervously looked behind her, knowing she was holding up the line: I was smiling and trying to look sympathetic (同情）-I had been in situations where I did not have enough money plenty of times myself. Finally, the young mother gave something back to the clerk, and asked for new total.At that moment, the woman in front of me asked the clerk to wait a moment. She took out $ 5 and handed it to the clerk to pay what the young mother was short of. When the clerk tried to give the woman the fifty cents change, she pointed to the little g irl and toldthe clerk to give it to her. The little girl smiled and ran to one of the machines to spend the money. Naturally, the young mother was thankful and said so. The woman smiled and told her she was welcome.I will never forget the look on that little girl’s face -not when she was given the money, but when she realized that a perfect stranger cared enough to help them. From the way she looked at the woman, you could tell that she learned something valuable that day. Some people do care.That woman taught me several things with that one little deed. There are many situations in which we can help other people. It doesn’t take much money. A few dollars to someone like me was something quite different to that mother.66. Why was the young mother carefully counting her money?A, Because she wanted to know how much would be left after payment.3. Because she got ready to pay for what she had taken.C. Because she was afraid that she didn’t have enough.D. Because she wanted to see if she could buy more things.67. How much was the young mother short of?A. S5B.S2.5C. $4.5D. 50 cents68. What did the author try to show to the young mother by smiling to her?A. His friendship.成外2013直升考试英语试卷第6页共12页C. His surprise at her embarrassment.D. His understanding about her embarrassment.69. The woman in front of the author handed five dollars to •A. the authorB. the motherC. the clerkD. the girl70. What is the text trying to teach us?A. Women and children should be helped.B. A little care can bring about great happiness.C. There are always people who are in trouble.D. A friend in need is a friend indeed.CScientists in India have invented a new way to produce electricity. Their invention does not get its power from oil, coal or other fuels. It produces electricity with the power of animals. India has about eighty million bullocks. They do all kinds of jobs. They work in the fields. They pull vehicles through the streets. They carry water containers. Indian energy officials have been looking for ways to use less imported oil to provide energy. Scientists at the National institute for Industrial Engineering in Bombay wondered whether the millions of bullocks could help. Many villages in India lack electricity, but they have many bullocks. And often the animals are not working. One job done by bullocks is to pump water out of the well (井）.The animals do this by walking around and around in a circle. As they walk, they turn a heavy stick that makes the pump move. This simple technology is centuries old. Scientists thought that the same technology could be used to produce electricity. Bullocks walk in a circle only two or three times a minute. This is much too slow to produce electricity, but it can create enough power to turn a series of gears(齿轮).A large gear sits next to a smaller gear. As the large gear turns, it causes the smaller gear to turn. That gear turns an even smaller one. Each gear moves faster because it is a little smaller. The smallest gear may turn extremely fast. Clocks operate with gears. So do cars and so does the device.(设备）invented by the Indian scientists to produce -electricity. .According to the officials in the United Nations, the idea is being tested at several places in India. The device is easy to operate and repair. And it can be moved easily. It costs about three hundred and seven dollars now to make such a device, but production of large numbers of them could cut the cost of each to about two hundred dollars.71. Who first thought of using bullocks to provide energy?A. Indian energy officialsB. Scientists in IndiaC. Officials in the United Nations D .Researchers in Europe.72. Which of the bullocks’jobs is NOT mentioned in the passage?A. Pulling vehiclesB. Plowing (犁）fieldsC. Pumping water out of wellsD. Carrying food baskets.73. Why are bullocks used to provide energy in India?A. Because bullocks have long been used by Indian peopleB. Because bullocks walk slowly and are easy to controlC. Because there are few non-working bullocks in IndiaD. Because there is not enough oil in India成外2013直升考试英语试卷第7页共12页74. In the sentence “This simple technology is centuries old”in Paragraph One. “Thissimple technology” refers toA. using bullocks to produce energyB. using pumps to draw water outC. having bullocks walk around to make the pump moveD. connecting gears of different sizes to produce electricity.，75. Which of the following is true about the device mentioned in the passage ?A. It has a large gear and a smaller gear.B. It’s easy to use, but difficult to move.C. It’s quite cheap.D. It’s still being tested.Part BI. Fill in the blanks with the proper form of the words given.(15 marks)1. This (practice) guidebook teaches you about relaxation, coping skills, andtime management2. “It was _(freeze) cold, snowing for over a week, and there was fresh snowovernight, ” she said.3. She had a very (excite) look when she learned that her team had won thegame.4. There were also those children suffering from terrible living (condition)because of lack of education or food.5. There are many (mystery) stories about the Egyptian pyramids.6. Hundreds of thousands of Latin Americans live and work in Europe, (legal), many of them without permission.7. This book (intend) for children aged 5-7.8. The two companies have teamed up for the ( develop) of a new racing car.9. At the comer is a bakery which (special) in French pastry.10. We had no food left in our backpacks, and to make it (bad), it began torain.11. The scenery was so beautiful that it was almost beyond (describe).12. V/hen I found the front door (wide) open, I realised something was wrong .13. He was injured in the accident and would (observe) in hospital for a couple ofdays.14. He seemed (read) the book many times.15. As one of the best (invent) in the 20th century，the computer plays a moreand more important role in people's lives.II. Pattern shift. (10 marks)A. Complete sentence B to make it the same as sentence A in meaning.16. A. Over 2 million people visit the museum every year, which makes it Britain’s number one tourist attraction.B. Over 2 million people visit the museum every year, it Britain’s number one tourist attraction.成外2013直升考试英语试卷第8页共12页17. A. The majority of us don’t agree with the idea that the entrance examinations shouldbe abolished.B. The majority of us are the idea that the entrance examinations should be abolished.18. A. We sat much closer to the speaker in order to hear better.B. We sat much closer to the speaker hear better.19. A. Many students believe that parents are their best teachers.B. There are many students that parents are their best teachers.20. A. They were hungry and tired when they arrived home.B. They arrived home, .B. Change the sentences according to the requests.21. Given another chance, I am sure I will succeed.(Change the sentence into a complex sentence)22. We asked the students, “What do you use your computers for?”(Change the sentence into indirect speech)23. Do you mind if I open the door of the next room?(Change the sentence into a simple sentence)24. Joan saw her neighbours drive away with a baby’s carrycot on the roof of their car. (Change the sentence into passive voice)25. There is nothing wrong, ?(Tag question)III. Find the only one mistake from the underlined parts and correct it.(10 marks)26. Tom was late. He opened the door quietly, moving in and walked carefully toA B C Dhis seat.27. A light bulb hanging from the ceiling filled the room of a cold yellow light.A B C Ddress what they want to as long as it’s smart.28. College students are allowed toA B C Dis because cards from29. The reason why many people like collecting cardsA B Cdifferent places are of different designs.D30. I prefer travelling by train rather than travelling by plane, for trains are cheaper,A B Csafer and more comfortable.D31. —Why didn’t you give the wallet to the man at once?A B-He had been disappeared before I realized it was his.C D成外2013直升考试英语试卷第9页共12页32. We used to seeing each other regularly, but I haven't heard from him sinceA B C Dlast year.33. Human beings should learn to protect the environment and by this wayA B Cpeople will lead a better life in the future.D34. If you don’t speak the language- of the country，remember that signA Blanguage is easy to be understood.C D35. Shopping online can be disappointing, as the goods you get are sometimes .A Btotally different from that you see in the pictures on the Internet.C DIV. Choose from A to G to complete the conversation according to the context There are two more choices than needed. (5 marks)A. Every play he works on turns out great.B. And I don’t like the acting either.C. Actually, the woman playing Ophelia is a friend of mine.D. But the acting is a bit boringE. He is not experienced.F. The actor in the lead role is fantasticG. By the way, after the play，there’s a big party for the actors and their friendsA: So, are you enjoying the performance so far?B: Well, the costumes and the set are wonderful. 36 What do you think?A: I think you’re a bit critical. 37 I suppose the chorus could be a bitbetter, though.B: Do you know anyone in the play? ;A: 38 .B: Really? Is that why you wanted to come to the play?A: That5s only part of it. I absolutely admire this director. 39 I’veseen quite a few other plays that he’s directed. 40 . My friend hasinvited us. Do you want to go?B: Sure. Oh, look! They5re dimming the lights. I think we should go back to our seats for the second half of the play.V. Choose 10 words from the 12 given in the chart to fill in the blanks with the proper forms. Each word can be used only once. (10 marks)成外2013直升考试英语试卷第10页共12页profession discovery invite in on withlive make play believe until after |When your dream is to become a footballer, nothing should get 41 yourway~~even if you have no feet.Anil-year-old wonder kid from Brazil 42 to meet his idol Lionel Messi andbytrain with the Barcelona Football Club 43 his talents (天才） 44___scouts.Gabriel Muniz was born 45 feet. Although his family thought he would haveserious difficulty 46 a normal life, he started walking before he was one year old.It took him a while to make the jump from walking to playing football, but he did 47 it And, in fact, there’s nothing he loves more than 48 football.Watching him play is 49 . He's fast and he5s got a big bag of tricks—he’s veryskilled and he does everything he can to copy his idol, Messi.He knows that his disability (残疾)means he’ll never be able to play for a 50football team. So Gabriel is hoping that football will one day become a Paralympics sport.VI. Fill in the blanks with proper words according to the context. The first letters of the missing words have been given. (10 marks)China's worst earthquake in three years on April 20 killed at 1 51 196 peopleand i 52 more thanl2,000.The magnitude-7.0 quake hit a remote mountainousarea of Sichuan province at 8:02 a.m., close to Wenchuan, where an earthquake killed almost70,000 people in 2008.The quake struck Lushan county, near the city of Ya’an, at a- depth of 12 km. It was feltin Chengdu and neighboring provinces, c 53 many-people to rush out ofbuildings. A resident in Chengdu, 140 km from Ya’an city, said he was on the 13th floor of a building when he felt the quake. The building s 54 for about 20 seconds and hesaw tiles fall from nearby buildings.Most of the deaths were concentrated in Lushan. Buildings were toppled and people inbloodied bandages were treated(治疗）in tent (帐篷）h 55 . In villages closestto the epicenter, almost all low-rise buildings had collapsed.Premier Li Keqiang f 56 into the disaster zone by helicopter to voice supportfor the rescue (救援）operation. • “ The first 72 hours is the golden period for rescue. We cannot d 57 by a minute, he said.More than 6,000 troops were in the area to help with rescue efforts. By April 22,Lushan recorded 2,044 aftershocks after the earthquake. The China MeteorologicalAssociation(中国气象局）w 58 of the possibility of landslides (泥石流）inLushan county.Ya’an is a city of 1.5 million people and is c 59 one of the birthplaces ofChinese tea culture. It is also the h 60 to one of China’s main centers forprotecting the giant panda.成外2013直升考试英语试卷第11页共12页VII. Please choose from A-E to complete the article. There is one more than needed. (5 marks)A. Sports help to train a person’s characterB. People are inventing new sports or games all the timeC. And think of people in cold countries .D. Many people are so interested in sportsE. Some sports are so interesting that people everywhere like themF. Many people like to watch others play gamesAll over the world people enjoy sports, Sports help to keep people healthy and happy, and to live longer. 61 . They buy tickets or turn on their TVs to watch the games. Often theyget very excited when ,their player or team wins.62 . Football, for example, has spread around the world. Swimming ispopular in all countries near the sea or in those with many rivers. What run it is to jumpinto a pool or lake, whether in China, Egypt or Italy 63 .Think how manypeople love to skate or ski in Japan, Norway or Canada.Some sports or games go back thousands of years, like running or jumping. Chinese wushu, for example, has a very long history. But basketball and volleyball are rather new.Neither one is a hundred years old yet. 64 . Water-skiing is one of the newestin the family of sports. .People from different countries may not be able to understand', each other, but after agame together they often become good friends. 65 .One learns to fight hard.but fight fair, to win without pride and to lose with grace.VIII. Writing (10 marks)目前，行人不遵守交通规则，闯红灯乱穿马路的现象比比皆是。

2013年成都某实验外国语学校西区招生入学数学真卷(本地生) (满分：120分 时间：90分钟)一、计算题(共46分)1.直接写出结果。

(每小题1分，共10分)(1)_______5334.5=+ (2)_________315.0=- (3)________54125=⨯(4)_________5.3655=÷(5)_______)816141(12=-+⨯(6)17.32-5.6-4.34=_________ (7)_______43785525.2834=+++(8)________)19173271714(271714=--(9)____0.125×70.6+1.252.94=⨯ (10)________2007200620062006=÷2.选用恰当的方法计算。

(第(1)、(2)题每小题2分，第(3)、(4)题每小题3分，共10分)(1)16.1812875.32548---(2)2316]43)3121(85[÷⨯+-(3)7.81×0.1+0.5×78.1+0.049×781(4)655161544151433141⨯+⨯+⨯3.解方程。

(每小题2分，共4分)(1)5653=-x x(2)x :85201:31=4.(导学号 90672200)看图计算。

(每小题4分，共8分)(1)如图，以直角三角形的直角边长20厘米为直径画一个半圆，阴影部分①的面积比②的面积小23平方厘米，求BC 的长。

(π取3.14)(2)如图，已知四边形ABCD 是平行四边形，∠ABC=15°，圆的周长为125.6厘米，点A 、B 、C 都在圆上，AB 是直径，点O 是圆心，求阴影部分的面积。

(π取3.14)5.列式计算。

(每小题3分，共6分) (1)一个数的80%比65的倒数多4，求这个数。

(2)-个数的158加上60等于400的43，这个数是多少？6.特殊计算。

2013-2014学年高二下学期期末考试数学（理）试题试题分第Ｉ卷和第Ⅱ卷两部分。

满分150分，考试时间120 分钟。

注意事项：1．答题前，考试务必先认真核对条形码上的姓名，准考证号和座位号，无误后将本人姓名、准考证号和座位号填写在相应位置，2．答选择题时，必须使用2B 铅笔将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，再选涂其它答案标号；3．答题时，必须使用黑色签字笔，将答案规范、整洁地书写在答题卡规定的位置上； 4．所有题目必须在答题卡上作答，在试题卷上答题无效； 5．考试结束后将答题卡交回，不得折叠、损毁答题卡。

第Ｉ卷一、选择题（本大题10个小题，每题5分，共50分,请将答案涂在答题卷上) 1、已知集合{}{}2540,1,2,3,4,M x Z x x N =∈-+<=则M N = （ ）A 、{}1,2,3B 、{}2,3,4C 、{}2,3D 、{}1,2,42、已知cos 2θ=44sin cos θθ-的值为（ ）A 、BC 、1811D 、29-3、下列命题错误的是 （ ）A 、命题“若0m >，则方程02=-+m x x 有实数根”的逆否命题为“若方程02=-+m x x 无实数根，则0m ≤”B 、“1=x ”是“0232=+-x x ”的充分不必要条件C 、对于命题:p x R ∃∈,使得012<++x x ，则R x p ∈∀⌝:，均有012≥++x x D 、若q p ∧为假命题，则,p q 均为假命题4、设n S 为等比数列{}n a 的前n 项和,0852=-a a ,则=24S S （ ） A 、8 B 、5 C 、8- D 、15 5、运行如下程序框图,如果输入的[1,3]t ∈-,则输出s 属于（ ）A 、[4,3]-B 、[5,2]-C 、 [3,4]-D 、[2,5]-6、若当x R ∈时，函数()xf x a =始终满足0()1f x <≤，则函数1log ay x=的图象大致为（ ）7、函数()sin(2)()f x x x ϕπ=+<的图象向左平移6π个单位后关于原点对称，则函数()f x 在[0,]2π上的最小值为（ ）A 、B 、12-C 、12D 8、设变量,x y 满足不等式组2122x y x y y x -≤⎧⎪+≥⎨⎪-≤⎩，则4422222222x y x y xy ++++的最小值为（ ） A B 、32C 、D 、29、已知()f x 是可导的函数，且()()f x f x '<对于x R ∈恒成立，则（ ） A 、2015(1)(0),(2015)(0)f ef f e f <> B 、2015(1)(0),(2015)(0)f ef f e f >>C 、2015(1)(0),(2015)(0)f ef f e f ><D 、2015(1)(0),(2015)(0)f ef f e f <<10、定义在R 上的奇函数()f x ,当x ≥0时, ))12log (1),0,1,()1|3|,1,,x x f x x x ⎧+∈⎡⎣⎪=⎨⎪--∈+∞⎡⎣⎩则关于x 的函数()()F x f x a =-(0<a <1)的所有零点之和为（ ）A 、1-2aB 、21a-C 、12a-- D 、21a--第Ⅱ卷二．填空题（本大题5个小题，每题5分，共25分，请把答案填在答题卷上） 11、复数满足(1)2z i i +=，则复数z 的实部与虚部之差为12、用数字1,3组成四位数，且数字1,3至少都出现一次，这样的四位数共有_______个13、已知函数22(1)sin ()1x xf x x ++=+，其导函数为'()f x ，则(2015)'(201f f f ++- '(2015)____f --= 14、如图，在等腰直角三角形ABC 中，90A ∠=，BC =G 是ABC ∆的重心，P 是ABC ∆内的任一点（含边界），则 B G B P ⋅ 的最大值为_________15、给出下列命题;①设[]x 表示不超过x 的最大整数，则22222[log 1][log 2][log 3][log 127][log 128]649+++++= ；②定义在R 上的函数()f x ，函数(1)y f x =-与(1)y f x =-的图象关于y 轴对称； ③函数1()21x f x x -=+的对称中心为11(,)22--； ④已知函数322()1f x x ax bx a =++++在1x =处有极值11，则(1)3f -=或31； ⑤定义：若任意x A ∈，总有()a x A A -∈≠∅，就称集合A 为a 的“闭集”，已知{1,2,3,4,5,6}A ⊆ 且A 为6的“闭集”，则这样的集合A 共有7个。

成都外国语学校高2013级9月月考英语试题命题人：余德生张聪审题人：邓晓婷试卷负责人：邓晓婷试题分第Ｉ卷和第Ⅱ卷两部分。

满分150分，考试时间120 分钟。

第I卷（选择题，共100分）第一部分听力(共两节，满分20分)做题时，先将答案标在试卷上。

录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节（共5小题；每小题1.5分，满分7.5分）听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1. What does the man usually have for breakfast?A. Fried cakes.B. Fried rice-noodles.C. Noodles.2. What will the woman do first?A. Withdraw some money.B. See the dentist.C. Go to the history class.3. What is the time by Sandra’s watch?A. 2:55.B. 3:00.C. 3:05.4. What does the woman mean?A. Filling out the forms is no easy thing to do.B. She forgot to fill out the forms.C. She’ll remind the man about the forms.5. What is the conversation mainly about?A. Differences between meat and fruit.B. Different ideas about meat and vegetables.C. Different kinds of meat.第二节（共15小题；每小题1.5分，满分22.5分）听下面5段对话或独白。

2013年成都外国语学校招生模拟试题及答案一、选择题（用2B铅笔在答题卡上将正确答案代号涂黑）（每小题2分，共20分）3．（2分）用一根52cm长的铁丝，正好可以焊成一个长为6cm，宽为4cm，高为（）cm的长方体框÷＞÷6．（2分）修一条水渠，计划每天修80m，20天可以完成，如果要提前4天完成，那么每天要比计划多修B10．（2分）甲步行每分钟行80米，乙骑自行车每分钟200米，二人同时同地相背而行3分钟后，乙立即二、判断题．11．（1分）两个角是锐角的三角形不一定是锐角三角形．_________．12．（1分）在一张图纸上，用5cm表示实际距离4km，所用的比例尺是．_________．13．（1分）自然数中，从小到大第7个质数是19．_________．14．（1分）一个长方形的长增加50%，宽减少，长方形的面积不变．_________．15．（1分）分母是9的最简真分数只有6个．_________．16．（1分）9，，和这四个数可以组成比例．_________．17．（1分）用小于10的三个不同质数组成的同时是2和3倍数的最大三位数是972．_________．18．（1分）0.262保留三位小数约为0.262．_________．19．（1分）如果x和y是两种相关联的量，并且x=y，那么x和y成正比例．_________．20．（1分）要剪一个面积是9.42cm2的圆形纸片，至少要11cm2的正方形纸片．_________．三、填空题．（每小题1分，共10分．）21．（1分）有4，2，5，4，3，3这组数据中，中位数是_________．22．（1分）把一根木料锯成4段要6分钟，锯成7段要_________分钟．23．（1分）从时针指向5点开始，再经过_________分钟，时针正好与分针重合．24．（1分）定义新运算：a△b=，那么2△10△10=_________．25．（1分）一种喷洒果树的药水，其纯药液和水质量比是1：50，现配置这种药水45.3kg，需纯药液______ g．26．（1分）一个数分别与相邻的两个奇数相乘，得到的两个乘积相差40，这个数是_________．27．（1分）在个位数是2的自然数中，共有_________个平方数．28．（1分）今年小华和小玲的年龄和是22岁，4年前小华8岁，小玲_________岁．29．（1分）一个四位数的各位数字之和是3，并且是7的倍数，这个四位数是_________．30．（1分）桌子上并排放着三张扑克牌，A右边的两张中至少有一张K，而K左边的两张中也有一张K；黑桃左边的两张中至少有一张红桃，而红桃右边的两张中也有一张红桃，中间的那张牌是_________．四、计算题．（共20分）31．（12分）计算（1）9×÷9×=_________．（2）35×6﹣513÷27=_________．（3）（9+1﹣5）÷（9﹣6+2）=_________．（4）1.8×8.6+1.8×1.3+18%=_________．（5）×[﹣（﹣）]=_________．（6）（1﹣）（1﹣）（1﹣）…（1﹣）=_________．32．（8分）写出计算过程并得出结果（1）138×1+23.3×（2﹣75%）﹣125%×38+（1+0.25）×28.7（2）．五、几何题．（共8分）33．（8分）由一个装满水的圆锥形容器，底面半径是2dm，高为1.5dm，现把容器里的水倒入一个内壁长3dm，宽2dm，高1.2dm的长方体水槽内能盛下吗？（请通过计算说明）34．在正方体ABCD中，E，F分别是所在边的中点，求四边形AGCD的面积占正方形面积的几分之几？六、解答题．（共32分）35．（5分）有浓度为30%的溶液若干，加了一定数量的水后稀释成24%的溶液，如果再加入同样多的水后，浓度将变为多少？36．（5分）圆的半径是4cm，阴影部分的面积是14πcm2，求图中三角形的面积．37．（6分）甲、乙两车先后以相同的速度从A站开出，10点整甲车距A站的距离是乙车距A站距离的三倍，10点10分甲车距A站的距离是乙车距A站距离的二倍．那么甲车是_________点_________分从A站开出的．38．（6分）甲、乙合作完成一项工作，由于配合的好，甲的工作效率比单独做时提高，乙的工作效率比单独做时提高，甲、乙合作6小时完成了这项工作，如果甲单独做需要11小时，那么乙单独做需要几小时？39．（10分）8是4的倍数，9是3的倍数，8与9是相邻的自然数，15是3的倍数，16是4的倍数，15与16是相邻的自然数，如果将8、9或15、16看作一组，求在1～100中共有多少组相邻的自然数，一个是3的倍数，另一个是4的倍数．2012年四川省成都外国语学校小升初数学试卷参考答案与试题解析一、选择题（用2B铅笔在答题卡上将正确答案代号涂黑）（每小题2分，共20分）﹣）÷，×，÷＞÷a正确；6．（2分）修一条水渠，计划每天修80m，20天可以完成，如果要提前4天完成，那么每天要比计划多修﹣=3解答此题的主要依据是：圆锥的体积是与其等底等高的圆柱体积的．．10．（2分）甲步行每分钟行80米，乙骑自行车每分钟200米，二人同时同地相背而行3分钟后，乙立即二、判断题．11．（1分）两个角是锐角的三角形不一定是锐角三角形．正确．12．（1分）在一张图纸上，用5cm表示实际距离4km，所用的比例尺是．正确．，13．（1分）自然数中，从小到大第7个质数是19．错误．14．（1分）一个长方形的长增加50%，宽减少，长方形的面积不变．√．）×b15．（1分）分母是9的最简真分数只有6个．正确．的最简真分数有：、、、、、16．（1分）9，，和这四个数可以组成比例．错误．17．（1分）用小于10的三个不同质数组成的同时是2和3倍数的最大三位数是972．错误．19．（1分）如果x和y是两种相关联的量，并且x=y，那么x和y成正比例．正确．解：因为x=：=20．（1分）要剪一个面积是9.42cm2的圆形纸片，至少要11cm2的正方形纸片．错误．三、填空题．（每小题1分，共10分．）21．（1分）有4，2，5，4，3，3这组数据中，中位数是 3.5．23．（1分）从时针指向5点开始，再经过27分钟，时针正好与分针重合．（小时）（分钟）．24．（1分）定义新运算：a△b=，那么2△10△10=．△△÷，故答案为：．25．（1分）一种喷洒果树的药水，其纯药液和水质量比是1：50，现配置这种药水45.3kg，需纯药液888.2××30．（1分）桌子上并排放着三张扑克牌，A右边的两张中至少有一张K，而K左边的两张中也有一张K；黑桃左边的两张中至少有一张红桃，而红桃右边的两张中也有一张红桃，中间的那张牌是红桃K．四、计算题．（共20分）31．（12分）计算（1）9×÷9×=．（2）35×6﹣513÷27=191．（3）（9+1﹣5）÷（9﹣6+2）=1．（4）1.8×8.6+1.8×1.3+18%=18．（5）×[﹣（﹣）]=．（6）（1﹣）（1﹣）（1﹣）…（1﹣）=．×÷×，×，；9+15﹣+2）+1﹣）96+1）+1﹣）95+1×[﹣（﹣）×+﹣]×；﹣）﹣）﹣1+）1+））××××…××，×．故答案为：，，．32．（8分）写出计算过程并得出结果（1）138×1+23.3×（2﹣75%）﹣125%×38+（1+0.25）×28.7 （2）．+23.3，，五、几何题．（共8分）33．（8分）由一个装满水的圆锥形容器，底面半径是2dm，高为1.5dm，现把容器里的水倒入一个内壁长×=S SS×SSS S SS SS六、解答题．（共32分）35．（5分）有浓度为30%的溶液若干，加了一定数量的水后稀释成24%的溶液，如果再加入同样多的水36．（5分）圆的半径是4cm，阴影部分的面积是14πcm2，求图中三角形的面积．37．（6分）甲、乙两车先后以相同的速度从A站开出，10点整甲车距A站的距离是乙车距A站距离的三38．（6分）甲、乙合作完成一项工作，由于配合的好，甲的工作效率比单独做时提高，乙的工作效率比单独做时提高，甲、乙合作6小时完成了这项工作，如果甲单独做需要11小时，那么乙单独做需要几小时？，×1+=，乙在单独工作时的工效是：）139．（10分）8是4的倍数，9是3的倍数，8与9是相邻的自然数，15是3的倍数，16是4的倍数，15与16是相邻的自然数，如果将8、9或15、16看作一组，求在1～100中共有多少组相邻的自然数，一个。