绵阳中学自主招生考试模拟试题二
【2020-2021自招】四川绵阳中学实验学校初升高自主招生数学模拟试卷【4套】【含解析】
第一套：满分150分2020-2021年四川绵阳中学实验学校初升高自主招生数学模拟卷一．选择题（共8小题，满分48分）1．（6分）如图，△ABC中，D、E是BC边上的点，BD：DE：EC=3：2：1，M在AC边上，CM：MA=1：2，BM交AD，AE于H，G，则BH：HG：GM=（）A．3：2：1 B．5：3：1C．25：12：5 D．51：24：102.（6分）若关于x的一元二次方程（x－2）（x－3）=m有实数根x1,x2，且x1≠x2，有下列结论：①x1=2，x2=3；②1> ；m4③二次函数y=（x－x1）（x－x2）＋m的图象与x轴交点的坐标为（2，0）和（3，0）．其中，正确结论的个数是【】A.0B.1C.2D.33.（6分）已知长方形的面积为20cm2，设该长方形一边长为ycm，另一边的长为xcm，则y与x之间的函数图象大致是（）A. B. C. D.4.（6分）如图，在平面直角坐标系中，⊙O 的半径为1，则直线y x 2=-与⊙O 的位置关系是（ ）A ．相离B ．相切C ．相交D ．以上三种情况都有可能 5．（6分）若一直角三角形的斜边长为c ，内切圆半径是r ，则内切圆的面积与三角形面积之比是（ ）A ．B ．C ．D ．6．（6分）如图，Rt △ABC 中，BC=，∠ACB=90°，∠A=30°，D 1是斜边AB 的中点，过D 1作D 1E 1⊥AC 于E 1，连结BE 1交CD 1于D 2；过D 2作D 2E 2⊥AC 于E 2，连结BE 2交CD 1于D 3；过D 3作D 3E 3⊥AC 于E 3，…，如此继续，可以依次得到点E 4、E 5、…、E 2013，分别记△BCE 1、△BCE 2、△BCE 3、…、△BCE 2013的面积为S 1、S 2、S 3、…、S 2013．则S 2013的大小为（ ） A.31003 B.320136 C.310073 D.67147．（6分）抛物线y=ax 2与直线x=1，x=2，y=1，y=2围成的正方形有公共点，则实数a 的取值范围是（ ）A ．≤a ≤1B ．≤a ≤2C ．≤a ≤1D ．≤a ≤28．（6分）如图，矩形ABCD 的面积为5，它的两条对角线交于点O 1，以AB ，AO 1为两邻边作平行四边形ABC 1O 1，平行四边形ABC 1O 1的对角线交BD 于点02，同样以AB ，AO 2为两邻边作平行四边形ABC 2O 2．…，依此类推，则平行四边形ABC 2009O 2009的面积为（ ）A.n 25 B.n 22 C.n 31 D.n 23二．填空题：（每题7分，满分42分）9．（7分）方程组的解是 ．10．（7分）若对任意实数x 不等式ax ＞b 都成立，那么a ，b 的取值范围为 ．11．（7分）如图，圆锥的母线长是3，底面半径是1，A 是底面圆周上一点，从A 点出发绕侧面一周，再回到A 点的最短的路线长是 ．12．（7分）有一张矩形纸片ABCD ，AD=9，AB=12，将纸片折叠使A 、C 两点重合，那么折痕长是 ．13．（7分）设﹣1≤x ≤2，则|x ﹣2|﹣|x|+|x+2|的最大值与最小值之差为 ．14．（7分）两个反比例函数y=，y=在第一象限内的图象如图所示．点P 1，P 2，P 3、…、P 2007在反比例函数y=上，它们的横坐标分别为x 1、x 2、x 3、…、x 2007，纵坐标分别是1，3，5…共2007个连续奇数，过P 1，P 2，P 3、…、P 2007分别作y 轴的平行线，与y=的图象交点依次为Q 1（x 1′，y 1′）、Q 1（x 2′，y 2′）、…、Q 2（x 2007′，y 2007′），则|P 2007Q 2007|= ．三．解答题：（每天12分，满分60分）15.(12分).已知正实数,,x y z 满足：1xy yz zx ++≠ ,且222222(1)(1)(1)(1)(1)(1)4x y y z z x xy yz zx------++= .(1) 求111xy yz zx++的值. (2) 证明:9()()()8()x y y z z x xyz xy yz zx +++≥++.16．（12分）如图，ABC △是等腰直角三角形，CA CB =，点N 在线段AB 上（与A 、B 不重合），点M 在射线BA 上，且45NCM ∠=︒。
【2020-2021自招】四川省绵阳南山中学初升高自主招生数学模拟试卷【4套】【含解析】
第一套：满分150分2020-2021年四川省绵阳南山中学初升高自主招生数学模拟卷一．选择题（共8小题，满分48分）1．（6分）如图，△ABC中，D、E是BC边上的点，BD：DE：EC=3：2：1，M在AC边上，CM：MA=1：2，BM交AD，AE于H，G，则BH：HG：GM=（）A．3：2：1 B．5：3：1C．25：12：5 D．51：24：102.（6分）若关于x的一元二次方程（x－2）（x－3）=m有实数根x1,x2，且x1≠x2，有下列结论：①x1=2，x2=3；②1> ；m4③二次函数y=（x－x1）（x－x2）＋m的图象与x轴交点的坐标为（2，0）和（3，0）．其中，正确结论的个数是【】A.0B.1C.2D.33.（6分）已知长方形的面积为20cm2，设该长方形一边长为ycm，另一边的长为xcm，则y与x之间的函数图象大致是（）A. B. C. D.4.（6分）如图，在平面直角坐标系中，⊙O 的半径为1，则直线y x 2=-与⊙O 的位置关系是（ ）A ．相离B ．相切C ．相交D ．以上三种情况都有可能 5．（6分）若一直角三角形的斜边长为c ，内切圆半径是r ，则内切圆的面积与三角形面积之比是（ ）A ．B ．C ．D ．6．（6分）如图，Rt △ABC 中，BC=，∠ACB=90°，∠A=30°，D 1是斜边AB 的中点，过D 1作D 1E 1⊥AC 于E 1，连结BE 1交CD 1于D 2；过D 2作D 2E 2⊥AC 于E 2，连结BE 2交CD 1于D 3；过D 3作D 3E 3⊥AC 于E 3，…，如此继续，可以依次得到点E 4、E 5、…、E 2013，分别记△BCE 1、△BCE 2、△BCE 3、…、△BCE 2013的面积为S 1、S 2、S 3、…、S 2013．则S 2013的大小为（ ） A.31003 B.320136 C.310073 D.67147．（6分）抛物线y=ax 2与直线x=1，x=2，y=1，y=2围成的正方形有公共点，则实数a 的取值范围是（ ）A ．≤a ≤1B ．≤a ≤2C ．≤a ≤1D ．≤a ≤28．（6分）如图，矩形ABCD 的面积为5，它的两条对角线交于点O 1，以AB ，AO 1为两邻边作平行四边形ABC 1O 1，平行四边形ABC 1O 1的对角线交BD 于点02，同样以AB ，AO 2为两邻边作平行四边形ABC 2O 2．…，依此类推，则平行四边形ABC 2009O 2009的面积为（ ）A.n 25 B.n 22 C.n 31 D.n 23二．填空题：（每题7分，满分42分）9．（7分）方程组的解是 ．10．（7分）若对任意实数x 不等式ax ＞b 都成立，那么a ，b 的取值范围为 ．11．（7分）如图，圆锥的母线长是3，底面半径是1，A 是底面圆周上一点，从A 点出发绕侧面一周，再回到A 点的最短的路线长是 ．12．（7分）有一张矩形纸片ABCD ，AD=9，AB=12，将纸片折叠使A 、C 两点重合，那么折痕长是 ．13．（7分）设﹣1≤x ≤2，则|x ﹣2|﹣|x|+|x+2|的最大值与最小值之差为 ．14．（7分）两个反比例函数y=，y=在第一象限内的图象如图所示．点P 1，P 2，P 3、…、P 2007在反比例函数y=上，它们的横坐标分别为x 1、x 2、x 3、…、x 2007，纵坐标分别是1，3，5…共2007个连续奇数，过P 1，P 2，P 3、…、P 2007分别作y 轴的平行线，与y=的图象交点依次为Q 1（x 1′，y 1′）、Q 1（x 2′，y 2′）、…、Q 2（x 2007′，y 2007′），则|P 2007Q 2007|= ．三．解答题：（每天12分，满分60分）15.(12分).已知正实数,,x y z 满足：1xy yz zx ++≠ ,且222222(1)(1)(1)(1)(1)(1)4x y y z z x xy yz zx------++= .(1) 求111xy yz zx++的值. (2) 证明:9()()()8()x y y z z x xyz xy yz zx +++≥++.16．（12分）如图，ABC △是等腰直角三角形，CA CB =，点N 在线段AB 上（与A 、B 不重合），点M 在射线BA 上，且45NCM ∠=︒。
2024-2025学年四川省绵阳市江油市市级名校中考模拟调研卷英语试题(二)含答案
2024-2025学年四川省绵阳市江油市市级名校中考模拟调研卷英语试题（二）注意事项：1．答卷前，考生务必将自己的姓名、准考证号、考场号和座位号填写在试题卷和答题卡上。
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Ⅰ. 单项选择1、Jim broke a pair of shoes made of ________ in a ________store yesterday.A．glass; woman B．glasses; womanC．glass; women’s D．glasses; women’s2、- Could you tell me _____?- Talking about festivals.A．what are they doing B．what they are doingC．where they are going D．where are they going3、—Our classroom is so clean. Do you know who cleaned it？—Sorry, I don't know. I think did it before class.A．anybody B．nobody C．somebody D．everybody4、—Mum, we have won the game against Yuhua Middle School .—____________!A．Thank you B．The same to you C．Congratulations D．Never mind5、--- What was the party like?--- Wonderful. It’s years ____ I enjoyed myself so much.A．since B．after C．when D．before6、Give me another chance, ______ I’ll give you all a wonderful surprise.A．and B．or C．so D．but7、—I had a really good weekend at my uncle’s. —________.A．Oh, that’s very nice of you B．CongratulationsC．It’s a pleasure D．Oh, I’m glad to hear that8、--- Why not_______bike riding with us tomorrow afternoon?--- I prefer_______TV at home.A．go, to watch B．going, to watchingC．to go, watching D．going, watchingA．look over B．put up C．open up D．come up with10、You may remember some idioms in the text, but you can't possibly remember all the words in it.A．probably B．certainly C．hardly D．quicklyⅡ. 完形填空11、We went into a secondhand shop to get out of the rain.I took my 6-year-old daughter’s hand and we started to walk around. Suddenly she reached out her hand to touch a pair of shiny black shoes.“Buy for me?” she asked.“Oh, sweetie, they are tap dancing (踢踏舞) shoes, 1 you aren’t taking tap dance.” “Buy for me?” she 2 .“Well, let’s try them 3 .”She sat on the floor and took off her bright pink rain boots ( 靴子). When she stood up we heard “click, click, click”. She took 4 step, “click, click, click.”The sun 5 and we went on our way. Our next stop was the grocery store (杂货店). “Click, click, click” people turned to look as we got in. People would never allow their daughters to wear tap dancing shoes to the grocery store.“Excuse me, dear. 6 would you allow your daug hter to wear tap dancing shoes here? They make such a loud noise.”“Isn’t it wonderful?”“Wonderful? My dear, this is not the place7 those shoes.”“You don’t understand. When she was a baby, doctors told us that she would never walk or talk. It has t aken 8 hard work and patience. Now she asks for the shoes and the ‘click, click, click’ says that she can walk. You can’t imagine ho w 9 I am.” I said.My daughter is 18 now and will graduate from Grade 12 in June. It has not always been easy, but it has all been worth the trouble. She has taught me that it doesn’t matter what others think.They don’t walk in your 10 .1．A．if B．though C．because D．but2．A．said B．replied C．repeated D．thought3．A．on B．in C．above ` D．out4．A．other B．others C．another D．the other5．A．came back B．came out C．came up D．came true6．A．Why B．How C．When D．Who7．A．wears B．wearing C．wore D．to wear8．A．a lot B．a lot of C．a little D．a few10．A．shoes B．ways C．opinions D．wordsⅢ. 语法填空12、Every child has his own dream.Every child hopes to be 1．adult.However，is it really like what they imagine? As a boy2．lives in modern times and in a modern city，I feel greater pressure(压力)on me with the 3．(city) development.Although we seldom worry 4．money，we still have some other 5．(problem)，such as competition among classmates and expectation(期望)from parents.These experiences are very helpful to our future.But in fact they really give 6．(I)a lot of pressure.I still clearly remember the happiness of my childhood.Unluckily，we have to face the fact with time passing by.We begin 7．(feel)this invisible(无形的)pressure come upon us.We get up before sunrise 8．come back after sunset.We work and study like an adult，even 9．(hard)．What we do is to get an excellent mark.Growing up is very boring，but we should try to find happiness while growing up.I think friendship among our friends，the support from our parents and the encouragement from our teachers can help us.Why not 10．(enjoy)the pleasure of growing up and its delicious taste?Ⅳ. 阅读理解A13、Tom arrived at the bus station quite early for Paris bus. The bus for Paris would not leave until five to twelve. He saw a lot of people waiting in the station. Some were standing in line(排队), others were walking around. There was a group of schoolgirls. Their teacher was trying to keep them in line. Tom looked around but there was no place for him to sit.He walked into the station cafe(咖啡馆). He looked up at the clock there. It was only twenty to twelve. He found a seat and sat down before a large mirror(镜子) on the wall. Just then, Mike, one of Tom’s workmates came in and sat with Tom.“What time is your bus?” asked Mike.“There’s plenty of time yet,” answered Tom.“Well, I’ll get you some more tea then,” said Mike.They talked while drinking. Then Tom looked at the clock again. “Oh! It’s going backward(倒行)!” he cried. “A few minutes ago it was twenty to twelve and now it’s half past eleven.”“You’re looking at the clock in the mirror.” said Mike. Tom was so sad(难过). The next bus was not to leave for another hour. Since then Tom has never liked mirrors.1．Tom went into the station cafe because .A．Mike asked him to have a cup of tea.B．it was quite early and he could find a seat there.C．he didn’t like to stay with the schoolg irl.D．he wanted to have a drink with his workmate there.2．What time was it in fact when Tom looked at the clock? .C．Half past eleven D．Half past one3．From the story we know that when we look at a clock in a mirror, we will find .A．the time is right B．it’s going slowerC．it’s going backward D．it’s going faster4．Which of the following is true? .A．Tom arrived in Paris on timeB．The next bus would leave in half an hourC．After that Tom didn’t like clo cks any longerD．Tom looked at the clock in the mirror only once5．Which of the following is the title(题目) of the story?A．The Mirror of the StationB．Not A Careful ManC．Missing A BusD．The Clock In The MirrorB14、“An Englishman, even if he is alone, for ms an orderly queue(队伍) of one,” wrote a famous British author, George Mikes．While this sounds funny, it’s a popular English stereotype (刻板印象)．From the supermarket to the subway, queues are a common sight on the streets of Britain．Here in China, queues are normal, too．It is a part of everyday life．People queue most of the time, from buying tickets in the cinema to waiting for seats at a restaurant．But in certain situations, you’ll find yourself in the middle of a rushing crowd, such as getting onto the subway．Even away from the busy subway platform, queues are different．One day I was standing in line at the supermarket．I left a small space in front of me．Within seconds, a girl walked by and took her place in that small space．I was surprised at first, but later I found these experiences very interesting．It is with these small, everyday differences that I get to live and learn in a new culture．Back in Britain, the person spends about six months of their life waiting in a queue, according to the auction site MadBid．To pass the time, maybe they tell themselves the famous proverb: Good things come to those who wait．1．The English are well known for _____.A．forming an orderly queueB．being rude and loudC．traveling on subwaysD．spending more time waiting in a queue2．The purpose of the article is to _____.A．call on people in China to queue moreB．compare queuing in two culturesC．praise the English for following good mannersD．explain why people rush in some situations3．In which part of a newspaper would you most probably read this article?A．Sports. B．News.C．Culture. D．Business.C15、Let me tell you something about sharks. Sharks are among the oldest animals in the world. There are over three hundred fifty different kinds of sharks in the world. Most sharks are about two meters long and live in the oceans.A shark can smell something in the water, for example, the blood of animals. That helps them find their food. Sharks mainly eat fish, other sharks and plants in the ocean.Most sharks bite (咬) people by mistake. They think a person is a large sea animal. When the sun goes down or comes up, sharks are looking for food. So at these times people shouldn't go swimming in the ocean.Today people kill sharks for food and their skin. The number of sharks in the world is dropping fast.1．How many kinds of sharks are there in the world?A．Less than 350. B．More than 350. C．About 200. D．Over 400.2．What do sharks mainly eat in the ocean? .A．Fish, other sharks and plants. B．Fish and plants.C．Other sharks and plants. D．Fish and other sharks.3．Why do most sharks bite people by mistake?A．Because they think a person is dangerous.B．Because they think a person is a large sea animal.C．Because they think a person can hurt them.D．Because they think a person can take away their food.A．Sharks are everywhere at those times.B．Water is cold then.C．Sharks are looking for food then.D．Sharks are looking for a person then.5．How is the number of sharks in the world today?A．It is dropping fast. B．It is rising fast.C．It is not changing. D．We don' t know.D16、We’ve talked about snails (蜗牛) and their slow move. But much of the time snails don’t move at all. They’re in their shells ---sleeping .Hot sun will dry out a snail’s body. So at the least sign of hot sun, a snail draws its body into its shell and closes the op ening with a thin cover. Then it goes to sleep. A snail will die in a heavy rain. So whenever it rains, it goes inside its shell house and goes to sleep. A snail can sleep for as long as it needs to. It can take a short sleep. Or it can sleep for days at a time. And it spends all the winter months in its shell, asleep.In spring the snail wakes up. Its body, about three inches long, comes out of from the shell. When hungry, the snail looks for food. It can’t see very well. Its eyes, at the ends of the top feelers are very weak. But its sense of smell is very strong. It helps the snail to the new greens. Then the snail’s little mouth goes to work.A snail’s mouth is no longer than the point of a pin(针). Yet it has 256,000 teeth! The teeth are so small that you can’t see them. But they do their work.. If you put a snail in a hard paper box, it will eat its way out. And if a snail wears out its teeth, it will grow new ones.Mostly, a snail looks for food at night .But on cloudy days it eats in the daytime. It eats all day long. A snail can go on eating for hours and never feel full.1．A snail__________.A．moves more slowly in the daytime B．has thousands of feetC．doesn’t move at all D．sleeps much of the time2．In the sentence “A snail draws its body into its shell” the word “draw” means_________.A．to make with a pen B．to keep away fromC．to pull D．to move to end3．From the story we know_________.A．the snail’s shell is very thinB．a snail can’t see wellC．the snail’s nose is quite shortD．the snail’s body changes in different seasons4．A snail goes to sleep when_________.A．it feels hungry B．it is put in a paper boxC．spring is coming D．it rains heavily5．Which of the following in not true?A．A snail doesn’t like living under the sun.B．In winter the snail doesn’t eat or move.C．The snail’s teeth can’t be worn out..D．The snail’s strong sense of smell helps to find things far away.E17、Fifth-grader Kayla Martel loves basketball. But her school doesn’t have a girls’ team. So for the past four years, Kayla has played on the boys’ team at St. John the Apostle School in Clark, New Jersey. That hadn’t been a problem until earlier this y ear. The team was told that it either had to ask Kayla and another girl to leave the team or end its season early.The team, called the Chargers, plays in a league (联赛) that didn’t allow mixed teams after fourth grade. When the league leader found out that there were girls in the team, he gave the coaches (教练) bad news. The team could keep playing but only without the girls.Keisha Martel, Kayla’s mom, is one of the Chargers’ coaches. She asked the team to take a vote (投票), knowing it would be difficult for the kids to choose.“They all said, ‘It doesn’t matter. We’re a team and we’re sticking together (团结一致),’” said Keisha.The Chargers wasn’t allowed to play for a few weeks, but then the league reversed its decision. The team, girls included, played the rest of the season. They even made it to the championship (锦标赛) game — and won!Kayla has some advice for other teams. “Make sure you are family —you have each other’s back,” she says.1．How many girls played for the Chargers?A．Two. B．Three. C．Four. D．Five.2．What was the bad news the Chargers’ coaches got?A．Some of them had to leave their jobs.B．The team had to keep playing without the girls.C．The team couldn’t play in the league anymore.D．There would be no basketball team at the school.3．What does Kayla’s mom do?A．She is the league leader.B．She is a basketball coach.C．She is a teacher at Kayla’s school.D．She is the headmaster of Kayla’s school.4．The underlined word “reversed” is closest in meaning to “_______”.A．forgot B．supported C．changed D．made5．What’s Kayla’s advice for other teams?A．They should practice more.B．Team members should support each other.C．They should not be afraid of making mistakes.D．Team members and coaches should trust each other.F18、How can we improve our l ife? Many people think that they have to accept whatever life throws at them. They’ll say, “this is my destiny (命运). I cannot change it.”Certainly not! You don’t have to suffer too much. Your destiny depends on yourself, not on any other factors.I know someone who says she just accepts what life gives her because she has done everything she can to improve it. Guess what her lifestyle is? She wakes up in the morning, goes to work, comes back home, relaxes, chats with people, watches TV, then goes to sleep. Next day, the same routine cycle follows. Huh! Is this what she calls “doing her best”? She believes she has tried her best. But in fact she hasn’t.Remember that you get what you pay. You just don’t sit around and wait for a million dollars to fall from the sky. You have to get off the couch, get your eyes off the TV screen, get your hands off the phone. Don’t expect your luck to change unless you do something about it. If something goes wrong, don’t just regard it as a little failure, but use it as feedb ack (反馈). Learn your lesson, make the most of the situation, and do something to solve the problem. It’s not enough to think positively (积极地), you also have to act positively.If someone’s life is in the trouble, do you just hope that things will____fine? Of course not! You get to do anything you can to save the person. So it is with your own life. It is not enough to hope for the best, but you have to do your best. In other words, don’t just stand (or sit) there, do something to improve your life.1．The wr iter’s attitude towards destiny is that ________.A．we can change it B．we can’t depend on ourselvesC．we must accept it D．we have to suffer it2．According to the passage, what should you do if something goes wrong?A．Regard it as a little failure. B．Get your hands off your phone.C．Sit around and wait for luck. D．Do something to solve the problem.3．The underlined word “turn out” in the passage means ________.A．翻转B．关闭C．变得D．清空4．From the passage, we know ________.A．we only need to hope for the best in our life.B．we can get what we pay if we think positively.C．the woman has tried her best to improve her life.D．maybe our luck will change if we do something about the life5．What would be the best title for this passage?A．Understand Yourself B．Improve Your LifeC．Believe in Yourself D．Accept Your LifeⅤ.书面表达19、假如你是刘梅，升入九年级后，你的学习和生活都发生了很大变化。
绵阳中学自主招生模拟试题及答案(数-理-化)
数学素质考查卷一.选择题：（本大题共12个小题，每个4分，共48分，将所选答案填涂在机读卡上）F 列因式分解中，结果正确的是（1、2、 3、 4、 5、 6、 7、 8、 9、 2 3 2 2 A. x y —y y(x -y )2 1 C. x 「x -1 =x(x —1 ) x B. x 4 -4 =(x 2 2)(x — . 2)(x /2)2D. 1—(a_2)二(a_1)(a_3) "已知二次函数 y = ax 2 bx c 的图像如图所示，试判断 a b c 与 0的大小•”一同学是这样回答的：“由图像可知：当x =1时y ：：：0 , 所以a b c <0. ”他这种说明问题的方式体现的数学思想方法叫 做（ ） A.换元法 C.数形结合法 已知实数x 满足x 2A.-2 1 -—x = 4 , x xB.1B.配方法 D.分类讨论法 1 则4 -―的值是（ xC.-1 或 2 若直线y =2x -1与反比例函数y 芒的图像交于点P （2, a ），则反比例函数 x B.（1,-6） A. (-1,6)现规定一种新的运算：“ * ”： m * n * A. 54一副三角板，如图所示叠放在一起，则 A.180 ° B.150 ° B.5 C.(-2,-3) m)n m 』，那么| C.3 AOB COD C.160 ° =( D.170 某中学对2005年、2006年、2007年该校住校人数统计时发现, 年比2006年减少20% 那么2007年比2005年（ A.不增不减 B.增加4 % 半径为 A.8一支长为 体水槽中, A.13cm 8的圆中，圆心角0为锐角，且 B.1013cm 的金属筷子（粗细忽略不计） 那么水槽至少要放进（ B. 4 10 cm D.-2 或 1k的图像还必过点 x D.（2,12）D.92006年比2005年增加20% 2007 ） C.减少4 % 3 二二宁，则角&所对的弦长等于（ D.减少2 %C. 8.2D.16，放入一个长、宽、高分别是 ）深的水才能完全淹没筷子。
绵阳自主招生模拟试题
绵阳自主招生模拟试题
一、选择题
1. 下列哪个城市不属于四川省？
A. 成都
B. 绵阳
C. 重庆
D. 德阳
2. 绵阳市的气候属于哪种类型？
A. 热带季风气候
B. 亚热带季风气候
C. 温带季风气候
D. 寒带气候
3. 绵阳最著名的旅游景点是？
A. 华蓥山
B. 三台山
C. 平武古城
D. 仙海山
4. 绵阳市的“老字号”企业有哪家？
A. 绵阳燕窝
B. 阳澄湖大闸蟹
C. 宏恩堂
D. 羊肉粉小陈
5. 绵阳市的省级文保单位是？
A. 抗战胜利纪念馆
B. 南山博物馆
C. 广阳岩
D. 华蓥山古堡
二、填空题
1. 绵阳的市花是__________。
2. 绵阳的市树是__________。
3. 绵阳的特产有__________、__________。
4. 绵阳的机场名称是__________。
5. 绵阳的大型国际赛事有__________。
三、简答题
1. 请简述绵阳的地理位置及其特点。
2. 你认为绵阳的发展优势是什么？
3. 绵阳作为一个旅游城市，你觉得该如何推广绵阳的旅游资源？
四、综合题
绵阳作为四川省的重要城市之一，自古就有“雅州”的美誉。
请结合绵阳的历史文化、自然资源、经济发展等方面谈谈你对绵阳的了解和看法。
（注：以上题目为虚构，仅供参考）。
绵阳中学自主招生模拟试题
数学素质考查卷一.选择题：（本大题共12个小题，每个4分，共48分，将所选答案填涂在机读卡上）1、下列因式分解中，结果正确的是（ ）A.2322()x y y y x y -=-B.424(2)(2)(2)x x x x -=+-+C.211(1)x x x x x --=--D.21(2)(1)(3)a a a --=--2、“已知二次函数2y ax bx c =++的图像如图所示，试判断a b c ++与0的大小.”一同学是这样回答的：“由图像可知：当1x =时0y <，所以0a b c ++<.”他这种说明问题的方式体现的数学思想方法叫 做（ ）A.换元法B.配方法C.数形结合法D.分类讨论法 3、已知实数x 满足22114x x x x ++-=，则14x -的值是（ ）A.-2B.1C.-1或2D.-2或1 4、若直线21y x =-与反比例函数k y x =的图像交于点(2,)P a ，则反比例函数k y x =的图像还必过点（ ）A.(-1,6)B.(1,-6)C.(-2,-3)D.(2,12) 5、现规定一种新的运算：“*”：*()m n m n m n -=+，那么51*22＝（ ）A.54B.5C.3D.96、一副三角板，如图所示叠放在一起，则AOB COD ∠+∠＝（ ）A.180°B.150°C.160°D.170°7、某中学对2005年、2006年、2007年该校住校人数统计时发现，2006年比2005年增加20%，2007年比2006年减少20%，那么2007年比2005年（ ）A.不增不减B.增加4％C.减少4％D.减少2％8、一半径为8的圆中，圆心角θ为锐角，且32θ=，则角θ所对的弦长等于（ ） A.8 B.10 C.82 D.169、一支长为13cm 的金属筷子（粗细忽略不计），放入一个长、宽、高分别是4cm 、3cm 、16cm 的长方体水槽中，那么水槽至少要放进（ ）深的水才能完全淹没筷子。
2023年四川省绵阳南山中学实验校区自主招生考试化学试题
四川省绵阳南山中学试验校区自主招生考试本题卷由第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）构成满分：80分时间：90分钟也许用到旳相对原子质量：H-1 O-16 N-14 C-12 Zn-65第一卷(选择题，共32分)一、选择题（每题只有一种对旳答案，每题2分，共32分。
）1、伴随社会经济旳迅猛发展，能源危机日趋凸显，乙醇汽油（汽油中加入一定比例旳乙醇）旳使用可以缓和石油危机。
从甜菜或甘蔗中提取旳蔗糖可以通过发酵产生乙醇。
下列过程中没有发生化学变化旳是（）A.甜菜旳生长B.汽油中加入乙醇C.乙醇旳燃烧D.蔗糖旳发酵2、下列各组物质中，属于纯净物旳是（）A.食醋、白酒B.可乐、雪碧C.碘盐、白糖D.纯碱、氧气3、下列物质在实际应用中，既运用了物质旳物理性质又运用了物质旳化学性质旳是（）A.氢气作为人类理想旳燃料B.氧气用于危重病人旳急救C.二氧化碳用于灭火D.熟石灰用于砌砖抹墙4、某同学从资料上获悉，某些紫色旳花瓣浸出液具有类似石蕊旳性质。
假如他想懂得紫色旳喇叭花与否具有这种性质，他应把花瓣浸出液分别滴入下列哪组物质中进行观测（）A.食醋、肥皂水B.食醋、酸奶C.食盐水、食醋D.糖水、肥皂水5、化学与人们旳生活紧密相连。
用所学化学知识判断，下列做法或说法错误旳是（）A.天然气、瓦斯等气体和面粉、煤粉等固体粉尘都轻易发生爆炸。
B.对人体所必须旳元素，要尽量通过食物摄入，摄入局限性或过量均不利于健康。
C.小强同学总是将自己旳自行车擦得很洁净，并将链条、钢圈等构件抹上油。
D.运用洗涤剂旳乳化功能，可将白衬衫上旳蓝墨水渍迅速洗掉。
6、现代生活、工业、农业、国防都离不开合成材料。
下列有关合成材料说法错误旳是（）A.塑料是高分子合成材料B.棉花、锦纶、涤纶都是合成材料C.焚烧聚氯乙烯塑料会导致环境污染D.使用过旳废弃塑料、废弃橡胶应回收运用7、下列方程式书写对旳旳是（ ）A. 4Fe + 3O 2 点燃 2Fe 2 O 3B. H 2O 2 MnO 2 H 2O + O 2↑C. 4KMnO 4 △ 2KMnO 4+2MnO 2+2O 2↑D. C + O 2 点燃 CO 28、“拒绝毒品，人人有责”，这更是青少年旳责任。
绵阳中学自主招生数学模拟试题
绵阳中学自主招生模拟试题数学考号姓名 .注意事项：1、答选择题前，考生务必将自己的姓名、准考证号、考试科目准确涂写在答题卡上.每个选择题选出答案后，用铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦擦干净后，再选涂其它答案，选择题不能答在试题卷上.2、填空题和计算题必须答在答卷上.3、考试结束时，将试题卷、答卷和答题卡一并交回.一、选择题：（共15个题，每个4分，共60分）.1．下列因式分解中，结果正确的是（）.A.B.C.D.2．已知实数满足，则的值是（）.A.-2 B.1 C.-1或2 D.-2或13．若直线与反比例函数的图像交于点，则反比例函数的图像还必过点（）.A.（-1，6）B.（1，-6）C.（-2，-3）D.（2，12）4．现规定一种新的运算：“”：，那么（）.A.B.5C.3D.95．一副三角板，按如图一所示叠放在一起，则（）.A.180°B.150°C.160°D.170°6．某中学对2005年、2006年、2007年该校住校人数统计时发现，2006年比2005年增加20%，2007年比2006年减少20%，那么2007年比2005年（）.A.不增不减B.增加4%C.减少4% D.减少2%7．一个不透明的口袋里装有红、黄、蓝三种颜色的小球（除颜色外其余都相同），其中红球有2个，蓝球有1个，黄球1个，第一次摸出一个球（不放回），第二次再摸一个小球，两次摸到都是红球的概率是（）.A.B .C.D.8．一支长为13cm的金属筷子（粗细忽略不计），放入一个长、宽、高分别是4cm、3cm、16cm的长方体水槽中，那么水槽至少要放进（）深的水才能完全淹没筷子.A.13cmB.cm C.12cm D.cm9．一个平面封闭图形内（含边界）任意两点距离的最大值称为该图形的“直径”，封闭图形的周长与直径之比称为图形的“周率”，下面四个平面图形（依次为正三角形、正方形、正六边形、圆）的周率从左到右依次为a1，a2，a3，a4，则下列关系中正确的是（）.A.a4>a2>a1B.a4>a3>a2C.a1>a2>a3D.a2>a3>a410．由绵阳出发到成都的某一次列车，运行途中须停靠的车站依次是：绵阳→罗江→黄许→德阳→广汉→青白江→新都→成都. 那么要为这次列车制作的车票一共有（）.A.7种B.8种C.56种D.28种11．有一列数a1、a2、a3、……、an，从第二个数开始，每一个数等于1与它前面那个数的倒数的差，若a1=2，则a2014等于（）.A.B.-1C.2D.112．若某空间几何体的三视图如图二所示，则该几何体的体积是（）.A.2B.1C.D.13．如图，在直角梯形ABCD中，AD∥BC，，且CD=2AD，，过点D作DE∥AB，交的平分线于点E，连接BE，下列结论正确的有（）个（1）BC=CD；（2）若将△BCE绕点C，顺时针旋转90°得到△DCG，连接EG，则CD垂直平分EG；（3）若延长BE交CD于点P，则P 是CD的中点；（4）图中共有四对全等三角形.A.1B.2C.3D.414．如图四，在Rt△ABC中，已知∠C=90°，AC=6，BC=8，⊙O为△ABC的内切圆，分别切⊙O于D、E、F，则阴影部分面积为（）.A.B.C.D.15．如图五，双曲线，过点P（3，2）分别作轴、轴的垂线，分别交双曲线于A、B两点，则的最大值是 ( ) .A. 6B. 3C.D. 2二、填空题：(本大题共6个小题，每小题4分，共24分.将答案填写在答题卡相应位置的横线上).16．要使函数 y=有意义，则的取值范围是 .17．如图六，为了测量涪江的宽度AB，测量人员在越王楼上选取一处离地面高25m的建筑CD的顶端D处测得河岸B处的俯角45°，测得河对岸A处的俯角为30°（A、B、C在同一条直线上），则河的宽度AB为 m..18．如图七，在Rt△ACB中，∠C=90°，AC=8，BC=6，CD平分∠ACB，则△ACD的面积是 .19．如图八，正方形ABCD的边长为1，E、F分别是BC、CD上的两个动点，当AE=EF=EC时，求AF= .20．参加某保险公司的汽车保险，汽车修理费是按分段赔偿，具体分段赔偿细则图九所示. 某人在汽车修理后在保险公司得到的赔偿金额是2000元，那么此人的汽修理费是元.21．如图，抛物线是二次函数的图象，则下列结论：①；②；③抛物线与x轴的另一个交点为（3，0）；④；⑤，其中正确的结论有 .三、解答题：本大题共6个小题，共66分.解答应写出文字说明、证明过程或演算步骤.22．（本题共2个小题，每小题5分，共10分）（1）计算（2）先化简，再求值:÷(a-),其中a=+123．（本题满分10分）如图所示，在△ABC中，以AB为直径的⊙O交BC于点P，PD⊥AC于点D，且AB=AC .（1）PD与⊙O有怎样的位置关系？说明理由.（2）若BC=8，AB=5，求CD的值．24. （本题满分10分）已知关于的方程（1）求证：无论为任何实数，该方程总有两个不等实数根；（2）以该方程的两根为一直角三角形的两直角边长，已知该三角形斜边上的中线长为，求实数的值.25．（本题满分12分）在刚过去的“五·一”小长假中，各商家都纷纷推出形式多样的购物活动来应对的购物高峰．百盛某箱包品牌专卖店准备购进甲、乙两种箱包．其中每个甲箱包的进价比每个乙箱包的进价多20元，每个甲箱包的售价为240元，每个乙箱包的售价为160元.已知：用3000元购进甲种箱包的数量与用2400元购进乙种箱包的数量相同．设每个甲箱包的进价为m元（1）求m的值（2）要使购进的甲、乙两种箱包共200个的总利润（利润=售价﹣进价）不少于21700元，且不超过22000元，问该专卖店有几种进货方案？（3）在（2）的条件下，专卖店准备对甲种箱包进行优惠促销活动，决定对甲种箱包每个优惠a(50＜a＜70）元出售，乙种箱包价格不变．那么该专卖店要获得最大利润应如何进货？26．（本题满分12分）在正方形ABCD中，直线MN是过点B的任意一条直线，AE⊥MN，CF⊥MN，垂足分别为E、F，当MN∥AC时,如图1，显然有EF=AE+CF；（1）直线MN绕点B旋转到如图2的位置（MN与AC不平行，垂线段AE、CF 在直线MN的同侧），上面的结论成立吗？说明理由；(2) 直线MN绕点B旋转到如图3的位置（垂线段AE、CF在直线MN的异侧），①直接写出线段EF、AE、CF长度之间的关系；②若MN与AC相交于点G，CF=10㎝，AE=4㎝,求△ABG的面积；27．（本题满分12分）如图，已知抛物线与x轴交于A、B两点，与y轴交于C点，在抛物线内有一点M（1，m）恰好在此抛物线的对称轴上，M到A、C两点的距离都为，抛物线的顶点为E．（1）求m的值及抛物线的解析式；（2）点P是轴上的一个动点，试探究在抛物线上是否存在另一动点Q，使得A、C、P、Q四点所组成的四边形是平行四边形，若存在，求出Q点坐标，不存在，请说明理由.（3）如图2，直线CM交抛物线于点D, 连接BE，CE、BD，G为BD中点，若在轴上有一点H，满足△BGH的面积等于△BEC的面积，求出点H的坐标.。
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CuCuO CuSO4CO2Na2CO3CaCO3 FeSO 4Fe(OH)3Fe2O3绵阳中学招生考试化学模拟测试卷二（时间：50分钟满分：70分）班级：姓名：得分：可能用到的相对原子质量：H-1 C-12 O-16 Na-23 Cl-35.5 Ca-40 Fe-56 Ba-137一、单项选择题（每题3分，共36分）1.下列对物质的归类正确的是（）选项归类物质A 氧化物水、双氧水、氢氧化钾B 可燃气体氢气、氧气、天然气C 营养物质淀粉、油脂、蛋白质D 大气污染物粉尘、氮氧化物、二氧化碳2.实验室用KClO3制氧气并回收MnO2和KCl，下列操作不．规范的是（）A．用装置甲收集氧气B．用装置乙溶解完全反应后的固体C．用装置丙分离MnO2和KCl溶液D．用装置丁蒸干分离后的溶液得KCl晶体3.下列排列顺序正确的是（）4.甲和乙可以合成清洁燃料丙，微观过程如下图。
下列说法错误．．的是（）A．丁的化学式为H2O2B．丙中C、H、O的质量比为12:3:8C．一定浓度的丙溶液可作消毒剂D．该反应体现无机物可转化为有机物5.下列指定反应的化学方程式正确的是（）A．铁丝在氧气中燃烧：4Fe＋3O22Fe2O3B．铝片溶于稀硫酸：Al＋H2SO4AlSO4＋ H2↑C．铜绿的形成：2Cu＋O2＋H2O＋CO2Cu2(OH)2CO3D．过氧化钠与二氧化碳反应生成纯碱和氧气：Na2O2＋CO2Na2CO3＋O26.下列除杂设计（括号内为杂质）正确的是（）序号物质[来源:Z§xx§]选用试剂操作A CO2（HCl）NaOH溶液洗气B CaO（CaCO3）H2O 加入足量的水，充分溶解，过滤C[来KNO3溶液（K2CO3）稀盐酸加入适量的盐酸至不再产生气泡为止D NaCl溶液（CaCl2）①Na2CO3溶液②稀盐酸先加入过量试剂①，过滤；再向滤液中加入适量试剂②7.下列各组转化中，一定条件下均能一步实现的组合是（）A．①②B．①③C．②③D．①②③8.有NaHCO3和Na2CO3的固体混合物13.7g，将其充分加热至固体质量不再减少，得剩余固体。
将产生的气体通入足量的Ca(OH)2溶液中，产生5.0g沉淀。
下列说法正确的是（）A．剩余固体为混合物B．剩余固体的质量为11.5gC．原混合物中Na2CO3的质量大于NaHCO3D．将剩余固体溶于足量的稀盐酸，产生4.4gCO29.NaNO3和KNO3的溶解度表及溶解度曲线如下。
下列说法正确的是（）温度/℃20 30 50 60 80溶解度S/gNaNO387.6[来94.9 110 122 148KNO331.6 45.3 85.5 110 167A．甲表示NaNO3溶解度曲线B．40℃时，饱和溶液的溶质质量分数：KNO3＞NaNO3C．t1应介于60℃～80℃D．80℃时KNO3饱和溶液中含有少量NaNO3，要得到较纯净的KNO3晶体，可采用蒸发结晶、过滤等操作10.烧杯中盛有BaCl2和HCl的混合溶液100.0g，向其中滴加溶质质量分数为10.0%的Na2CO3溶液，烧杯中溶液的质量与滴加溶液的质量关系如右图所示。
下列说法正确的是（）A．ab段产生白色沉淀B．bc段溶液质量增加86.3gC．c点对应溶液的溶质质量分数为7.5%D．向d点溶液中滴加酚酞试液，溶液显无色11.下列各组溶液，不用其他试剂就不．能．鉴别出来的是（）A．KCl、AgNO3、稀HCl、稀HNO3B．KOH、稀HCl、FeCl3、NaNO3C．CuSO4、NaOH、MgCl2、NaCl D．稀HCl、Na2CO3、BaCl2、Na2SO412.右下图为利用燃煤烟气生产Na2SO4和化工原料乙烯(C2H4)的原理。
下列说法不正确的是（）A．副产物M的化学式为HClB．装置中存在电能转化为化学能的过程C．生产过程中，乙烯制备装置中溶液的pH会增大D．乙烯制备装置中的反应可表示为：2CO2＋2H2O C2H4＋3O2选择题答题卡题号 1 2 3 4 5 6 7 8 9 10 11 12答案通电H2SO4①②③A．空气中物质的含量：CO2N2O2由少到多B．利用金属的年代：C．溶液的pH：NaCl NaOH HCl由小到大D．铜元素的质量分数：Cu2O CuO CuS由低到高由先到后Cu Fe Al点燃•••bac106.0 212.0 Na2CO3溶液的质量/g烧杯中溶液的质量/gd •CO2Na2SO4制备装置燃煤烟气（SO2、CO2）O2乙烯制备装置C2H4Na2SO4和M的溶液海水CO2－＋O2石墨H2SO4溶液1温度/℃溶解度/g甲乙•AMnO 2 C BE GNH 4Cl加热 HD 高温F尿素[CO(NH 2)2]①②一定条件 二、填空题（3小题，共44分）13.（10分）Ⅰ. 已知如图A 、B 、C 三种元素的原子结构示意图依次为:(1)X=(2)写出一种由A 、B 、C 三种元素形成的化合物的化学式： (用A 、B 、C 代表元素符号)Ⅱ.用“○”和“●”分别代表两种不同元素的原子.这两种元素组成的化合物在一定条件下能发生以下反应,反应前后的微观模拟图如下:(1)该反应的基本反应类型是： 反应； (2)据此可知化学反应前后 不变;(写1点) (3)已知“○”的相对原子质量是“●”的m 倍,该反应中生成物与的质量比为：14．（12分）右下图表示某些物质间转化关系。
A 、B 为组成元素相同的无色液体，D 是大理石的主要成分，C 、F 、H 为气体，且H 有刺激性气味。
（1）E 的化学式为 。
（2）反应①的化学方程式为 （3）反应②的化学方程式为由此反应可知，在农业生产中施用铵态氮肥时应注意（4）自然界中普遍存在着F 转化为C 的反应，名称为 ；工业生产中用F 和H 合成尿素，反应中F 和H 的质量比为 。
15．（22分）目前，我国钢铁产量居世界第一，为国民经济的发展奠定了坚实的基础。
（一）铁的广泛应用1.我国在西汉时期就有“曾青得铁则化为铜”之说，用化学方程式表示其原理2.铁与铬（Cr ）、镍（Ni ）等金属熔合可形成“不锈钢”，用不锈钢丝和聚乙烯纤维为原料可制作耐酸防护服 材料。
以上叙述中不涉及到 （选填序号）。
A ．合金B ．无机非金属材料C ．合成材料D ．复合材料3.某品牌的麦片中含微量铁粉，食用后可在胃酸的作用下转化为人体可吸收的铁元素，反应的化学方程式为 。
（二）铁锈成分的探究1.右图为某兴趣小组探究铁生锈的三个实验， 最先观察到铁锈的是 （选填序号）。
2.铁生锈的主要过程为：Fe Fe(OH)2 Fe(OH)3 Fe 2O 3·x H 2O次要过程为：Fe FeCO 3写出F e → Fe(OH)2反应的化学方程式 。
3.铁锈组分的确定某铁锈成分为Fe 2O 3·x H 2O 和FeCO 3。
为确定其组成，兴趣小组称取此铁锈样品25.4g ，在科研人员的指导下用下图装置进行实验。
【查阅资料】①Fe 2O 3·x H 2O 失去结晶水温度为110℃，FeCO 3在282℃分解为FeO 和CO 2。
②温度高于500℃时铁的氧化物才能被CO 还原。
（1）装配好实验装置后，首先要 。
（2）装置A 中的反应为：H 2C 2O 4 (草酸) CO ↑+CO 2↑+H 2O 。
通过B 、C 装置可得到干燥、纯净的CO 气体，洗气瓶B 中应盛放 （选填序号）。
a ．浓硫酸b ．澄清的石灰水c ．氢氧化钠溶液（3）现控制D 装置中的温度为300℃对铁锈进行热分解，直至D 装置中剩余固体质量不再变化为止，冷却后装置E 增重3.6g ，装置F 增重2.2g 。
则样品中FeCO 3的质量m (FeCO 3)＝ g ， x ＝ 。
（4）若缺少G 装置，测得的m (FeCO 3) （选填“偏大”、“偏小”、“不变”，下同），x 的值会 。
（三）炼铁过程的探究1.写出工业上用赤铁矿（主要成分Fe 2O 3）炼铁主要原理的化学方程式 。
【查阅资料】用CO 还原Fe 2O 3炼铁的过程大致分为三个阶段：阶段1：3Fe 2O 3＋CO 2Fe 3O 4＋CO 2阶段2：Fe 3O 4＋CO 3FeO ＋CO 2阶段3：FeO ＋CO Fe ＋CO 2 2.将上述300℃热分解后的D 装置中剩余固体 继续分阶段升温，进行CO 还原铁的氧化物炼 铁过程的探究。
加热时测定D 中剩余固体质量 随温度变化的曲线如右图所示。
图中M 点对应的a ＝ 。
600～700℃ ＞700℃ 浓硫酸 ∆•剩余固体质量/g•HMG•a14.0 13.0 500～600℃、O 2、H 2O O 2、CO 2、H 2O风吹日晒 O 2、H 2O A B C铁钉 水 铁钉水植物油铁钉 NaCl 溶液。