2014年七宝中学自招数学试卷

1. 323

8b b

x y

--与32a b a

ax y

-的差为单项式，求a b

2. 求22014||20150

x x

-+=的解的和.

3. 22227

x y z xy yz zx

++---=，求||

y z

-的最大值.

4. 在平行四边形ABCD中，60

∠=，B

∠的平分线交AD于E，交CD延长线于F，O 为DEF外心，下面哪些式子是正确的

①OEDF为菱形；②三角形AOC为正三角形；③OAE≌OCD.

5. 2

y ax bx c

=++(0)

a<，顶点(,3)

b-，||0

b c ac

-=，求a、b、c.

参考答案

1. 2或3

2. 0

3. 6

4. ①②③

5. 2

1125

228

y x x

=-+-

2015年七宝中学数学自招试卷及答案

2015年七宝中学自招试卷 1、已知：2x =-是220x ax b ++=的一个根，求22 a b +的最小值【答案】2 【解析】2x =-Q 是220x ax b ++=的一个根，4220a b ∴-+=2a b ∴=+()2 22222244a b b b b b ∴+=++=++ ()22122b =++≥，所以最小值为2 2、已知正方形ABCD 的边长为6，E 为AD 的中点，F 为DC 的中点，AF ，BE 的交点为P ，求PC 【答案】【解析】如图，延长BC ，AF 交于G ，Q 四边形ABCD 是正方形，∴AB AD CD BC ===，90BAE D ∠=∠=?，Q E 、F 分别为AD 、CD 的中点，∴12AE AD =，12DF CD =，∴AE DF =，在ADF V 与BAE V 中AD AB BAE D AE DF =??∠=∠??=? ，∴ADF V ?BAE V ，∴DAF ABE ∠=∠，Q 90ABE AEB ∠+∠=?，∴90DAF AEB ∠+∠=?∴90APE ∠=?Q BPG APE ∠=∠∴90BPG ∠=?在ADF V 与CGF V 中90AFD GFC DCG D CF DF ∠=∠??∠=∠=???=? ，∴ADF V ?CGF V ，∴CG AD =，∴CG BC =，∴162 PC BG ==，

3、已知：12320151,,,,1a a a a -≤???≤，求122320151a a a a a a ++???+的最小值。【答案】2015- 【解析】令11a =-，21a =，31a =-，41a =……20141a =，20151a =-，所以每一项都是1-，可得最小值为2015- 4、已知：[]x 为不大于x 的最大整数，在1,2,3,,2015???中，有______个数满足 2 9x x -= 【答案】40 【解析】Q 29x x -=且x 在1,2,3,,2015???，∴9x ≥，当916x ≤<时，3x ?=?，29x =，则18x =（舍）；当1625x ≤<时，4x ?=?，2 16x =，则25x =（舍）；当2536x ≤<时，5x ?=?，225x =，则34x =；当3649x ≤<时，6x ?=?，236x =，则45x =；当4964x ≤<时，7x ?=?，2 49x =，则58x =，……在后面()221n x n ≤<+中，每组都有一个数满足题意，Q 224419362015202545=≤<=，∴共有445140-+=个数满足2 9x x ?-=? 5、已知221x y +=222144122x x y y xy x y -+++-+-的值【答案】3

2017七宝中学自招考试英语题库1课件.doc

2017七宝中学自招考试英语题库 1 Choice: 1. From what I heard about their hotel and the terrible weather, they_______their holiday at all. A. would have enjoyed B. shouldn't have enjoyed C. needn't have enjoyed D. can't have enjoyed 2. I tried to call at your home last week but your dog simply ______not let me come through the gate. A. could B. would C. might D. should 3. Here is my MP3 player! It's strange. I don't remember leaving it here, but I suppose I ________so. A. can do B. must have done C. need have done D. should have done 4. You __________Jeanne at the meeting this morning because she left for Hong Kong last night. A. mustn't have seen B. can't have seen C. shouldn't have seen D. wouldn't have seen 5. The boss_______the worker how to do it, or the accident couldn't have happened. A. can't have told B. ought to tell C. couldn't have been told D. mustn't have told 6. Haven't we told you that you_______ have 25 dollars if you have fixed our computer? A. shall B. would C. should D could 7. —There were already five people in the car but they managed to take me as well. —It ____________a comfortable journey. A. can't be B. shouldn't be C. must have been D. couldn't have been 8. ________this letter _________now? A. Need ... typed B. Does ... need to be typed C. Need ... to be typed D. Does ... need be typed 9. Even if you don't like the work, you_________ it.

【考试必备】2018-2019年最新上海市七宝中学初升高自主招生语文模拟精品试卷【含解析】【4套试卷】

2018-2019年最新上海市七宝中学自主招生语文模拟精品试卷（第一套）（满分：100分考试时间：90分钟）一、语文基础知识（18分，每小题3分） 1．下列词语中加点的字，读音全都正确的一组是（）A．连累(lěi) 角(ju?)色河间相(xiàng) 冠冕(miǎn)堂皇B专横(hang) 忖(cǔn)度涮(shuàn) 羊肉妄加揣(chuāi)测 C．笑靥(ya) 顷(qīng)刻汗涔(c?n)涔休戚(qì)相关 D慨叹(kǎi) 俨(yǎn)然刽子手(kuàì) 刎(wěn)颈之交 2、下列各项中字形全对的是（） A、橘子州偌大急躁光阴荏苒 B、蒙敝犄角慰籍书生意气 C、敷衍磕绊笔竿艰难跋涉 D、翱翔斑斓屏蔽自怨自艾 3、依次填入下列各句横线上的词语，最恰当．．的一项是（） ⑴虽然他尽了最大的努力，还是没能住对方凌厉的攻势，痛失奖杯。 ⑵那些见利忘义，损人利己的人，不仅为正人君子所，还很可能滑向犯罪的深渊。 ⑶我认为，真正的阅读有灵魂的参与，它是一种个人化的精神行为。 A.遏制不耻必需 B.遏止不耻必需 C.遏制不齿必须 D.遏止不齿必须 4、下列句中加点的成语，使用恰当的一句是（） A、故宫博物院的珍宝馆里，陈列着各种奇珍异宝、古玩文物，令人应接不暇。

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2017七宝中学自招考试英语题库1

2017七宝中学自招考试英语题库1 Choice: 1. From what I heard about their hotel and the terrible weather, they_______their holiday at all. A. would have enjoyed B. shouldn't have enjoyed C. needn't have enjoyed D. can't have enjoyed 2. I tried to call at your home last week but your dog simply ______not let me come through the gate. A. could B. would C. might D. should 3. Here is my MP3 player! It's strange. I don't remember leaving it here, but I suppose I ________so. A. can do B. must have done C. need have done D. should have done 4. You __________Jeanne at the meeting this morning because she left for Hong Kong last night. A. mustn't have seen B. can't have seen C. shouldn't have seen D. wouldn't have seen 5. The boss_______the worker how to do it, or the accident couldn't have happened. A. can't have told B. ought to tell C. couldn't have been told D. mustn't have told 6. Haven't we told you that you_______ have 25 dollars if you have fixed our computer? A. shall B. would C. should D could 7. —There were already five people in the car but they managed to take me as well. —It ____________a comfortable journey. A. can't be B. shouldn't be C. must have been D. couldn't have been

【考试必备】2018-2019年最新上海市七宝中学初升高自主招生考试英语模拟精品试卷【含解析】【4套试卷】

2018-2019年最新上海市七宝中学自主招生考试英语模拟精品试卷（第一套）考试时间：120分钟总分：150分第I卷（选择题，共100分）第一节：单项填空（共25小题，每小题1分，满分25分） 1. —When did the terrible earthquake in YaNan happen? —It happened ________ the morning of April 20, 2013. A. on B. at C. in D. / 2. Our teacher told us ________ too much noise in class. A. to make B. make C. not to make D. not make 3. Here is your hat. Don’t forget______ when you __________. A. to put it on, leave B. to wear it, leave C. to wear it, will leave D. putting it on, will leave 4. The baby is sleeping. You _____ make so much noise. A. won’t B. mustn’t C. may not D. needn’t 5. Since you are _____ trouble, why not ask _________ help? A. in, for B. in, to C. with, for D. with, to 6. It’s about___________kilometers from Nanchong to Chengdu. A. two hundreds B. two hundreds of C. two hundred D. two hundred of 7. It is six years since my dear uncle ________China. A. left B. has left C. is left D. had left 8. —How long _______ you _______ the bicycle? —About two weeks. A. have, had B. have, bought C. did, buy D. have, have 9. The Yellow River is not so ________ as the Yangtze River. A. longer B. long C. longest D. a long 10. Mrs.Green usually goes shopping with ________ umbrella in ________ summer. A. a；the B. an； / C. the； a D. /；/

七宝中学自招考试英语题库

2017七宝中学自招考试英语题库1 Choice: 1. From what I heard about their hotel and the terrible weather, they_______their holiday at all. A. would have enjoyed B. shouldn't have enjoyed C. needn't have enjoyed D. can't have enjoyed 2. I tried to call at your home last week but your dog simply ______not let me come through the gate. A. could B. would C. might D. should 3. Here is my MP3 player! It's strange. I don't remember leaving it here, but I suppose I ________so. A. can do B. must have done C. need have done D. should have done 4. You __________Jeanne at the meeting this morning because she left for Hong Kong last night. A. mustn't have seen B. can't have seen C. shouldn't have seen D. wouldn't have seen 5. The boss_______the worker how to do it, or the accident couldn't have happened. A. can't have told B. ought to tell C. couldn't have been told D. mustn't have told 6. Haven't we told you that you_______ have 25 dollars if you have fixed our computer A. shall B. would C. should D could 7. —There were already five people in the car but they managed to take me as well. —It ____________a comfortable journey. A. can't be B. shouldn't be C. must have been D. couldn't have been 8. ________this letter _________now A. Need ... typed B. Does ... need to be typed

【考试必备】2018-2019年七宝中学初升高自主招生模拟考试英语试题及答案【精品试卷】

七宝中学2018-2019年自主招生考试英语模拟试卷本试题分试题卷和答题卡两部分。试题卷共8页。满分150分，考试时间100分钟。注意事项： 1．答题前，考生务必将自己的姓名、考号、用0.5毫米的黑色墨水签字笔填写在答题卡上，并认真核对。 2．1-50题使用2B铅笔填涂在答题卡对应题目标号的位置上，非选择题用0.5毫米的黑色墨水签字笔书写在答题卡的对应位置。在草稿纸、试题卷上答题无效。 3．考试结束后，将试题卷，答题卡一并交回。第Ⅰ卷（选择题，共100 分）第一部分：英语知识运用（共两节，满分60分）第一节：单项填空（共15小题，每小题2分，满分30分）从（ A、B、C、D)四个选项中选出一个可以填入空白处的最佳选项，并在答题卡上将该项涂黑。 1. He was told that ____10:00 bus would take him to Mianyang in time to reach ____Nanshan High school. A. the; / B. the; a C. a; the D. /; the 2. Mother was so angry at all I was doing ____she walked out. A. which B. what C. that D. as 3. ---Who is late for class again? --- ____you ask? Tim, of course. A. Can B. Would C. Could D. Need 4. The traffic in the city was ____today, so as you guess, Mary got home far earlier than usual. A. heavy B. light C. weak D. scare 5. When she was awake, she found that she was standing on____seemed to be a piece of stone. A. that B. which C. what D. it 6. It is difficult for most of us to eat better, exercise more, and sleep enough, ____we know we should. A. as if B. even though C. unless D. before 7. Starting a business is one thing, while keeping it running smoothly is quite____. A. the other B. another C. neither D. others 8. Let’s learn to use the problem we are facing____a stepping stone to future success. A. to B. for C. as D. by 9. Grandma found it increasingly difficult to read, for her eyesight was beginning to____. A. disappear B. fall C. fail D. damage 10.---I hear you are working at the Smith’s. ---Yes, I _____ there for about three months. A. worked B. have been working C. was working D. am working 11.On the wall ____many pictures Mary drew during her childhood.

2017七宝中学自招测验英语题库1

————————————————————————————————作者：————————————————————————————————日期：

2017七宝中学自招考试英语题库1 Choice: 1. From what I heard about their hotel and the terrible weather, they_______their holiday at all. A. would have enjoyed B. shouldn't have enjoyed C. needn't have enjoyed D. can't have enjoyed 2. I tried to call at your home last week but your dog simply ______not let me come through the gate. A. could B. would C. might D. should 3. Here is my MP3 player! It's strange. I don't remember leaving it here, but I suppose I ________so. A. can do B. must have done C. need have done D. should have done 4. You __________Jeanne at the meeting this morning because she left for Hong Kong last night. A. mustn't have seen B. can't have seen C. shouldn't have seen D. wouldn't have seen 5. The boss_______the worker how to do it, or the accident couldn't have happened. A. can't have told B. ought to tell C. couldn't have been told D. mustn't have told 6. Haven't we told you that you_______ have 25 dollars if you have fixed our computer? A. shall B. would C. should D could 7. —There were already five people in the car but they managed to take me as well. —It ____________a comfortable journey. A. can't be B. shouldn't be C. must have been D. couldn't have been 8. ________this letter _________now? A. Need ... typed B. Does ... need to be typed C. Need ... to be typed D. Does ... need be typed 9. Even if you don't like the work, you_________ it.

七宝中学自招考试英语题库

2017七宝中学自招考试英语题库1 heard about their hotel and the terrible weather, B. shouldn 1 t have enjoyed C. needn ? t have enjoyed D. can't have enjoyed not let me come through the gate. A. could B. would C. might D. should 3. Here is my MP3 player! It's strange. I don't remember leaving it here, but I suppose I so. A. can do B. must have done C. need have done D. should have done 4. You Jeanne at the meeting this morning because she left for Hong Kong last night. A. mustn ? t have seen B. can't have seen Choice: they their holiday at all. 2. I tried to call at your home last week but your dog simply From what I A. would have enjoyed C. shouldn ，t have seen D. wouldn t have seen

5.The boss the worker how to do it, or the accident couldn't have happened. B. ought to tell C. couldn t have been told D. mustn t have told 6.Haven t we told you that you have 25 dollars if you have fixed our computer A. shall B. would C. should D could 7.—There were already five people in the car but they managed to take me as well. —It a comfortable journey. A. can't be B. shouldn' t be C. must have been D. couldn't have been 8.this letter now A. Need . . ? typed B. Does . . ? need to be typed C. Need .?? to be typed D. Does .. . need be typed 9.Even if you don't like the work, you it.

2017年七宝中学自招数学试卷

冲刺17年自主招生之 2016年七宝中学综合素养调研测试一、填空题（每题5分，共40分） 1. A B ，则__________.A B += 2. 设x y ，为实数，则代数式22 245425x xy y x y ++-++的最小值为___________. 3. 方程：3456x x x x ++=的解有_____________个. 4. 已知两质数p q ，之和为2019，则()()1 1q p p q -->的值为______________. 5. 在直角三角形ABC 中，CD CE ，分别是斜边AB 上的高，中线，()33BC a AC a ==>，，若1 tan 3DCE ∠=，则a =___________. 6. 在平面直角坐标系内，已知四个定点()()()()30110313A B C D ---，，，，，，，及一个动点P ，则PA PB PC PD +++∣∣∣∣∣∣∣∣的最小值为______________. 7. 已知函数()()()()2222 22228.f x x a x a g x x a x a =-++=-+--+，设()()()1max{}H x f x g x =，，()()()2min{}max{}H x f x g x p q =，，，表示p q ，中的较大值，min{}p q ，表示p q ，中的较小值，记()1H x 得最小值()2A H x ，得最大值为B ，则______________.A B -= 8. 不等式()() 2 1430x x x +-+>有多重解法，其中有一种方法如下，在同一直角坐标系中做出11y x =+和2 243y x x =-+的图像然后进行求解，请类比求解以下问题：设a b ，为整数，若对任意0x ≤，都有()() 2220ax x b ++≤成立，则_____________.a b += B

2021年七宝中学自招考试英语题库

七宝中学自招考试英语题库1 Choice: 1. From what I heard about their hotel and the terrible weather，they_______their holiday at all. A. would have enjoyed B. shouldn't have enjoyed C. needn't have enjoyed D. can't have enjoyed 2. I tried to call at your home last week but your dog simply ______not let me come through the gate. A. could B. would C. might D. should 3. Here is my MP3 player！It's strange. I don't remember leaving it here，but I suppose I ________so. A. can do B. must have done C. need have done D. should have done 4. You __________Jeanne at the meeting this morning because she left for Hong Kong last night. A. mustn't have seen B. can't have seen C. shouldn't have seen D. wouldn't have seen 5. The boss_______the worker how to do it，or the accident couldn't have happened. A. can't have told B. ought to tell C. couldn't have been told D. mustn't have told 6. Haven't we told you that you_______ have 25 dollars if you have fixed our computer? A. shall B. would C. should D could 7. —There were already five people in the car but they managed to take me as well. —It ____________a comfortable journey.

上海七宝中学2019【冲刺实验班】提前自主招生物理模拟试卷(共6套)附解析

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