最新卓越内测试卷
七年级下册英语卓越配套试卷
七年级下册英语卓越配套试卷As a student in Grade 7, the English Excellence Supplementary Workbook has been a valuable resource for meto enhance my language skills. The workbook, which covers a range of topics from basic grammar to reading comprehension, has been instrumental in helping me consolidate my knowledge and improve my performance in school.The workbook is divided into several sections, each focusing on a different aspect of English language learning. The first section, Grammar Focus, provides clear explanations and examples of key grammar points, followedby practice exercises to help me apply what I have learned. The Vocabulary section introduces new words and phrases, along with example sentences and exercises to help me memorize and use them correctly.The Reading Comprehension section is particularly helpful, as it exposes me to different types of texts and challenges me to understand and analyze them. The exercises in this section range from simple comprehension questionsto more complex tasks like summarizing or inferring information. These exercises have not only improved myreading skills but have also enhanced my critical thinking abilities.The workbook also includes a Writing section, which guides me through the process of writing different types of essays. From writing simple narratives to persuasive essays, this section has helped me develop my writing skills and confidence. The exercises provide valuable feedback and suggestions for improvement, which I have found very helpful.In addition to the workbook's structured approach to learning, I have also found it to be a highly engaging resource. The texts are interesting and relevant, and the exercises are challenging but not overwhelming. The workbook's user-friendly layout and clear instructions make it easy to follow, and the included answer key provides convenient reference for self-checking and revision.Studying with the English Excellence Supplementary Workbook has been a rewarding experience for me. Not only has it helped me improve my English skills, but it has also fostered a love for learning and a sense of accomplishment as I complete each section. The workbook's comprehensivecoverage of English language topics and its focus on practical application have made it an invaluable tool for my academic success.**七年级下册英语卓越配套试卷分析与学习心得** 作为七年级的学生,英语卓越配套试卷对于提升我的语言能力起到了重要的作用。
2022-2023学年交大附中高一下学期数学卓越考试卷及答案
第1页共11页交大附中2022学年第二学期高一年级数学卓越考2023.3一、选择题1.已知,αβ∈R ,则“()sin sin 2αβα+=”是“()2πk k βα=+∈Z ”的().A.充分而不必要条件B.必要而不充分条件C.充分必要条件D.既不充分也不必要条件2.设α是第三象限角,则下列函数值一定为负数的是().A.cos 2αB.tan2αC.sin2αD.cos2α3.对于给定的实数a ,不等式()2110ax a x +--<的解集可能是().A.11x x a ⎧⎫<<⎨⎬⎩⎭B.{}1x x ≠-C.{}1x x <-D.R4.若1tan 3α=-,则222ππcos sin 332sin cos cos ααααα⎛⎫⎛⎫-+- ⎪ ⎪⎝⎭⎝⎭+的值为().A.103B.53C.23D.103-5.在ABC △中,内角A ,B ,C 的对边分别为a ,b ,c22cos32BB +=,cos cos sin sin 6sin BC A Bb c C+=,则ABC △的外接圆的面积为().A.12πB.16πC.24πD.64π6.阻尼器是一种以提供阻力达到减震效果的专业工程装置.我国第一高楼上海中心大厦的阻尼器减震装置,被称为“定楼神器”,如图1.由物理学知识可知,某阻尼器的运动过程可近似为单摆运动,其离开平衡位置的位移()y m 和时间()t s 的函数关系为()()sin 0,πy t ωϕωϕ=+><,如图2,若该阻尼器在摆动过程中连续三次到达同一位置的时间分别为1t ,2t ,()31230t t t t <<<,且122t t +=,235t t +=,则在一个周期内阻尼第2页共11页器离开平衡位置的位移大于0.5m 的总时间为().A.13s B.23s C.1sD.43s 7.函数()()ππsin 0,,22f x A x A ωϕωϕ⎛⎫=+>>-<< ⎪⎝⎭的部分图象如图所示,则ω,ϕ的值分别是().A.2,π3-B.2,π6-C.4,π6-D.4,π38.己知函数()πsin 3f x x ⎛⎫=+⎪⎝⎭,给出下列结论:①π3f x ⎛⎫-⎪⎝⎭为奇函数;②π2f ⎛⎫⎪⎝⎭是()f x 的最大值;③把函数sin y x =的图象上所有点向左平移π3个单位长度,可得到函数()y f x =的图象.其中所有正确结论的序号是().A.①B.①③C.②③D.①②③9.已知函数()sin 22sin 1f x x x =+-,则()f x 在[]0,2023πx ∈上的零点个数是().A.2023B.2024C.2025D.202610.设函数()ln 21ln 21f x x x =++-,则()f x ().第3页共11页A.是偶函数,且在1,2⎛⎫+∞⎪⎝⎭单调递增B.是奇函数,且在11,22⎛⎫-⎪⎝⎭单调递减C.是偶函数,且在1,2⎛⎫-∞- ⎪⎝⎭单调递增D.是奇函数,且在1,2⎛⎫-∞-⎪⎝⎭单调递增11.已知函数()()π2sin 04f x x ωω⎛⎫=-> ⎪⎝⎭在区间[]0,2π上存在零点,且函数()f x 在区间[]0,2π上的值域为2M ⎡⎤⊆⎣⎦,则ω的取值范围是().A.13,42⎡⎤⎢⎥⎣⎦B.13,84⎡⎤⎢⎥⎣⎦C.14,83⎡⎤⎢⎥⎣⎦D.1,18⎡⎤⎢⎥⎣⎦12.已知函数()πsin 3f x x ω⎛⎫=+⎪⎝⎭,0ω>对任意3π0,8x ⎛⎫∈ ⎪⎝⎭都有()12f x >,则当ω取到最大值时,()f x 的一个对称中心为().A.π,08⎛⎫⎪⎝⎭B.3π,016⎛⎫⎪⎝⎭C.π,02⎛⎫⎪⎝⎭D.3π,04⎛⎫⎪⎝⎭13.定义在R 上的奇函数()f x ,满足102f ⎛⎫=⎪⎝⎭,且在()0,+∞上单调递减,则不等式()()()0f x f x x x --<--的解集为().A.102102x x x ⎧⎫<<<⎭<⎨⎩-⎬或B.1122x x x ⎧⎫<->⎨⎬⎩⎭或C.10221x x x <⎧⎫<<⎨⎩⎭-⎬或D.12102x x x -<⎧⎫>⎨⎩⎭<⎬或14.“数缺形时少直观,形少数时难入微”,数和形是函数的神和形两方面、在数学的学习研究中,常用函数的图象来研究函数的性质,也常用函数的解析式来琢磨函数的图象的特征.若下图为()y f x =的大致图第4页共11页象,则函数()y f x =的解析式最可能为().A.()ln x f x e x =⋅B.()ln x f x e x =⋅C.()ln xf x e x=⋅D.()ln x f x e x-=⋅15.在ABC △中,“ABC △是锐角三角形”是“tan tan 1A B >”的().A.充分不必要条件B.必要不充分条件C.充要条件D.既不充分也不必要条件16.已知定义在R 上的函数()f x 满足()()12f x f x +=,当(]0,1x ∈时,()1sin π4f x x =-.若对任意(],x m ∈-∞,都有()2f x ≥-,则m 的取值范围是().A.9,4⎛⎤-∞ ⎥⎝⎦B.7,3⎛⎤-∞ ⎥⎝⎦C.5,2⎛⎤-∞ ⎥⎝⎦D.8,3⎛⎤-∞ ⎥⎝⎦二、填空题17.己知函数()ln 1f x x x =+-,则不等式()0f x <的解集是______.18.已知1sin cos 5αα+=,()0,πα∈,则()()sin 1cos 1αα-+=______.19.函数()()πsin 03f x x ωω⎛⎫=+> ⎪⎝⎭的部分图象如图所示,则ω=______.20.已知实数x ,y 满足221x y xy ++=,则222x y +的最大值为______.21.已知ABC △的内角A ,B ,C 所对的边分别为a ,b ,c ,若222222sin sin sin A C b c a B b c a --=+-,则tan C 的取值范围为______.22.己知π,0,2x y ⎛⎫∈ ⎪⎝⎭,且tan tan tan sin sin 1x y x y x +-≤,则()2221x y --的最大值为______.第5页共11页三、解答题23.在ABC △中,内角A ,B ,C ,所对的边分别为a ,b ,c ,且cos cos c a b c B b Cb c a+++=-.(1)求C ;(2若角C 的内角平分线与AB 边交于点D ,且2CD =,求4b a +的最小值.24.若函数()y f x =满足()3π2f x f x ⎛⎫=+ ⎪⎝⎭且()ππ44f x f x x ⎛⎫⎛⎫+=-∈ ⎪ ⎪⎝⎭⎝⎭R ,则称函数()y f x =为“M 函数”.(1)试判断4sin3y x =是否为“M 函数”,并说明理由;(2)函数()f x 为“M 函数”,且当π,π4x ⎡⎤∈⎢⎥⎣⎦时,sin y x =,求()y f x =的解析式,并写出在3π0,2⎡⎤⎢⎥⎣⎦上的单调增区间;(3)在(2)条件下,当π5π,22x ⎡⎤∈-⎢⎥⎣⎦,关于x 的方程()f x a =(a 为常数)有解,记该方程所有解的和为S ,求S .第6页共11页参考答案一、选择题1.B; 2.B; 3.B; 4.A;5.B; 6.D;7.A;8.B;9.B;10.A;11.B;12.C 13.D;14.B;15.C;16.B;15.在ABC △中,“ABC △是锐角三角形”是“tan tan 1A B >”的().A.充分不必要条件B.必要不充分条件C.充要条件D.既不充分也不必要条件由tan tan A B >1得tan 0,tan 0A B >>,即,A B 为锐角,()()tan tan tan tan tan 01tan tan A B C A B A B A Bπ+=--=-+=->-又所以C 为锐角,由此可知ABC ∆是锐角三角形,则必要性成立;由ABC ∆是锐角三角形,则C 为锐角,从而tan 0C >,即()tan 0A B -+>,则tan tan 01tan tan A BA B+<-,又,A B 也是锐角,故有1tan tan 0A B -<,即tan tan 1A B >,所以充分性成立,16.已知定义在R 上的函数()f x 满足()()12f x f x +=,当(]0,1x ∈时,()1sin π4f x x =-.若对任意(],x m ∈-∞,都有()32f x ≥-,则m 的取值范围是().A.9,4⎛⎤-∞ ⎥⎝⎦B.7,3⎛⎤-∞ ⎥⎝⎦C.5,2⎛⎤-∞ ⎥⎝⎦D.8,3⎛⎤-∞ ⎥⎝⎦因为当(]0,1x ∈时,()1sin 4f x x π=-,所以()1,04f x ⎡⎤∈-⎢⎥⎣⎦;第7页共11页当(]1,2x ∈时,(]()()10,1,21x f x f x -∈=-=()11sin 1,022x π⎡⎤⎡⎤--∈-⎣⎦⎢⎥⎣⎦(](]()()()[]2,3,20,1,42sin 21,0;x x f x f x x π⎡⎤∈-∈=-=--∈-⎣⎦当时()()78sin 2;233x x x π⎡⎤--=-==⎣⎦令得或舍若对任意(],x m ∈-∞,意有()2f x ≥-,则m 的取值范围是7,3⎛⎤-∞ ⎥⎝⎦.二、填空题17.()10,;18.252-;19.23;20.3322+;21.()10,22.2222+-ππ22.己知π,0,2x y ⎛⎫∈ ⎪⎝⎭,且tan tan tan sin sin 1x y x y x +-≤,则()2221x y --的最大值为______.2222+-ππ因tan tan tan sin sin 1x y x y x +- ,则1sin 1tan sin cos tan sin tan tan 22x y y x x x x x ππ+⎛⎫⎛⎫+=+=-+- ⎪ ⎪⎝⎭⎝⎭因函数sin ,tan y x y x ==均在0,2π⎛⎫⎪⎝⎭上单调递增,则函数tan sin y x x =+在0,2π⎛⎫⎪⎝⎭上单调递增,故有:02x y π<+<,第8页共11页设x y m +=,其中02m π<<,则()()()()()()()222222222212142222121x y m y y y m y m y m m m --=---=-+-+-⎡⎤=---+--⎣⎦ 当且仅当2y m =-时取等号,则此时022m π<-<,得222m ππ-< ,又函数()()221f m m =-在2,12π⎛⎫-⎪⎝⎭时单调递减,在1,2π⎛⎤⎥⎝⎦时单调递增,222f f ππ⎛⎫⎛⎫-= ⎪ ⎪⎝⎭⎝⎭,则()()22212222f m m fπππ⎛⎫=-=-+ ⎪⎝⎭ 此时2,22y x ππ=-=-三、解答题23.在ABC △中,内角A ,B ,C ,所对的边分别为a ,b ,c ,且cos cos c a b c B b Cb c a+++=-.(1)求C ;(2若角C 的内角平分线与AB 边交于点D ,且2CD =,求4b a +的最小值.(1)设ABC ∆外接圆的半径为R ,由正弦定理得:()cos cos 2sin cos 2sin cos 2sin 2sin c B b C R C B R B C R B C R A a +=+=+==则cos cos c a b c B b C b c a +++=-可化为c a b ab c a++=-整理得222a b c ab +-=-,由余弦定理得22212cos ,0,.2223a b c ab C C C ab ab ππ+--===-<<=又所以(2)由BCD ∆和ACD ∆的面积之和等于ABC ∆的面积,得1112sin sin 232323CD a CD b absin πππ⋅+⋅=可得22ab b a =+,即1112a b +=.第9页共11页则()(1144242525218a b b a b a a b b a ⎛⎫⎛⎫+=++=⨯++≥⨯+=⎪ ⎪⎝⎭⎝⎭当且仅当41112a b b aa b ⎧=⎪⎪⎨⎪+=⎪⎩,即6,3b a ==时,等号成立.故4b a +的最小值为18.24.若函数()y f x =满足()3π2f x f x ⎛⎫=+ ⎪⎝⎭且()ππ44f x f x x ⎛⎫⎛⎫+=-∈ ⎪ ⎪⎝⎭⎝⎭R ,则称函数()y f x =为“M 函数”.(1)试判断4sin3y x =是否为“M 函数”,并说明理由;(2)函数()f x 为“M 函数”,且当π,π4x ⎡⎤∈⎢⎥⎣⎦时,求()y f x =的解析式,并写出在3π0,2⎡⎤⎢⎥⎣⎦上的单调增区间;(3)在(2)条件下,当π5π,22x ⎡⎤∈-⎢⎥⎣⎦,关于x 的方程()f x a =(a 为常数)有解,记该方程所有解的和为S ,求S.(1)()4sin 3f x x ⎛⎫=⎪⎝⎭不为M 函数,理由如下:()()()424sin sin ,2323344sin ,,sin 323f x x x f x x f x f x f x ππππ⎛⎫⎛⎫⎛⎫-=-=- ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭⎛⎫⎛⎫=∴-≠∴= ⎪ ⎪⎝⎭⎝⎭不是M的函数(2) 函数()f x 对任意的实数x 满足()32f x f x π⎛⎫=+⎪⎝⎭,∴函数()f x 的周期为32T π=,第10页共11页753,4242x x πππππ≤≤∴≤-≤,()32f x f x π⎛⎫∴=+ ⎪⎝⎭,()()()()33,,sin ,sin cos ,42275,cos 42x f x x f x f x x x f x f x xππππππ⎡⎤⎛⎫⎛⎫∈=∴=-=-= ⎪ ⎪⎢⎥⎣⎦⎝⎭⎝⎭⎡⎤∴=⎢⎣⎦时在时的解析式为(3)由(2)知()f x 在75,42ππ⎡⎤⎢⎣⎦时的解析式为()()()cos ,,2442sin cos ,2273,422433cos sin 22f x x x x f x f x x x x x f x f x x x ππππππππππππππ=-≤≤∴≤-≤⎛⎫⎛⎫∴=-=-= ⎪ ⎪⎝⎭⎝⎭≤≤∴-≤-≤⎛⎫⎛⎫∴=-=-=- ⎪ ⎪⎝⎭⎝⎭ (),24,47,475,42cosx x sinx x f x sinx x cosx x ππππππππ⎧-≤≤⎪⎪⎪≤≤⎪∴=⎨⎪-≤≤⎪⎪⎪≤≤⎩作出函数()f x 的图象,如图,2O π-∣关于x 的方程()(f x a a =为常数)有解等价于()y f x =与y a =的图象有交点,由图可知当0a =时,方程()(f x a a =为常数)有3个解,其方程所有解的和为5322S ππππ=-++=当22a<<或1a=时,方程()(f x a a=为常数)有4个解,其方程有解的和为:2144,44Sπππ=+=当22a=时,方程()(f x a a=为常数)有6个解,其方程有解的和为:27146, 4444Sπππππ=+++=当212a<<时,方程()(f x a a=为常数)有8个解,其方程有解的和为:2214148,,3,06,.44442 S S a a πππππππ=+++====综上第11页共11页。
卓越联盟2021届新高考省份高三9月份检测英语试题及答案
卓越联盟2021届新高考省份高三9月份检测英语试题及答案卓越联盟2021届新高考省份高三年级9月份检测试题英语试卷(本试卷满分150分,考试时间:120分钟)注意事项:1.答卷前:先将自己的姓名、准考证号填写在试卷和答题卡上,并将准考证条码粘贴在答题卡上指定位置。
2.选择题,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。
3.非选择题,用0.5mm黑色签字笔写在答题卡上对应的答题区域,写在非答题区域无效。
第一部分听力(共两节,满分30分)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。
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 will the woman do this afternoon?A. Go shopping.B. Visit friends.C. Attend classes.2. What is the weather like now?A. Sunny.B. Cloudy.C. Rainy.3. Where does the conversation probably take place?A. In a library.B. In a bookstore.C. In a classroom.4. How does the man probably feel when hearing the news?A. Pleased.B. Nervous.C. Annoyed.5. What does the man advise the woman to do?A. Put her article in his office.B. Have her article improved.C. Have her article published.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。
2017年卓越一模考试题
2017届卓越学校一模测试英语(问卷)本试卷共四大题,8页,满分110分。
考试时间120分钟。
注意事项:1、答卷前,考生务必在答题卡上用黑色字迹的钢笔或签字笔填写自己的考生号、姓名、试室号、座位号,再用2B 铅笔把对应这两个号码的标号涂黑。
2、选择题每小题选出答案后,用2B铅笔把答题卡上对应题目的答案标号涂黑。
如需要改动,用橡皮擦干净后,再选涂其他答案。
3、非选择题必须用黑色字迹的钢笔或签字笔作答,答案必须写在答题卡各题目指定区域的相应位置上;如需要改动,先划掉原来的答案,然后再写上新的答案,改动的答案也不能超出指定的区域;不准使用铅笔、圆珠笔和涂改液。
不按以上要求作答的答案无效。
4、考生必须保持答题卡的整洁,考试结束,将本试卷和答题卡一并交回。
一、语法选择(共15小题;每小题1分,满分15分)阅读下面短文,按照句子结构的语法性和上下文连贯的要求,从1~15各题所给的A、B、C和D项中选出最佳选项,并在答题卡上将该项涂黑。
Is watching TV a waste of time? Here is a story happened to teenager Jake Deham.Jake Deham ___ 1 ___ with his family in the US when he fell over and lost one of his skis. His family didn’t know that he had a problem. They kept on skiing. When they got to the foot of the mountain, there was no sign of Jake.Jake couldn’t find his ski anywhere. In the end, he decided to take off ___ 2 ___ ski and walk down the mountain. But he couldn’t work out the right way to go.It was now getting dark and he was a long way from any place of ___ 3 ___. He knew ___ 4 ___ that he might die that night in the cold temperatures. But Jake kept calm. At home, Jake watched a lot of programmes about ___ 5 ___ in difficult situations. He remembered ___ 6 ___ advice from these programmes and knew he should build a hole in the snow. He made a hole ___ 7 ___ the wind couldn’t blow into it. Outside his hole, the temperature fell to a dangerous-15℃ that night, but inside it Jake was safe from the cold.After the long evening passed, Jake began ___ 8 ___ his way out. He had to get down the mountain. He thought of the words ___ 9 ___ the TV programmes always said,“ If you are lost, you should find someone else’ s tracks(足迹) through the snow and follow ___ 10 ___.” “I wanted to live my life.” Remembered Jake. “So I got up and I found some ski tracks and I followed those.” He walked and walked and finally saw lights.…His mum was very happy when she heard his son ___ 11 ___. To everyone’s___ 12 ___, Jake didn’t even have to go to hospital. He got through the terrible experience ___ 13 ___ any injuries.So, the next time someone says ___ 14 ___ watching TV is a waste of time, think of Jake. Sometimes TV ___ 15 ___ save your life!1. A. is skiing B. skied C. was skiing D. were skiing2. A. others B. another C. other D. the other3. A. safe B. safely C. safer D. safety4. A. clear B. clearly C. clearness D. clearer5. A. lived B. lives C. living D. live6. A. a B. an C. the D. /7. A. and B. but C. or D. so8. A. to think B. thinks C. thought D. to thinking9. A. what B. which C. when D. who10. A. they B. them C. their D. themselves11. A. has saved B. was saved C. is saved D. was saving12. A. surprised B. surprising C. surprise D. surprisedly13. A. with B. of C. about D. without14. A. that B. whether C. what D. when15. A. can B. should C. must D. need二、完形填空(共10小题;每小题1.5分,满分15分)阅读下面短文,掌握其大意,然后从16~25各题所给的A、B、C和D项中,选出最佳选项,并在答题卡上将该项涂黑。
英语卓越试卷七年级数学
Section 1: Multiple Choice Questions (40 points, 1 point each)1. Solve the equation: 3x + 4 = 19.A) x = 5B) x = 6C) x = 7D) x = 82. Simplify the expression: 8 - 3(2x - 1) + 4x.A) 5x + 5B) 5x - 5C) 3x + 7D) 3x - 73. What is the value of x in the equation 2(x - 3) = 4x - 6?A) x = 2B) x = 3C) x = 4D) x = 54. The perimeter of a rectangle is 48 cm. If the length is 16 cm, what is the width?A) 4 cmB) 6 cmC) 8 cmD) 10 cm5. Solve for y: 3y + 7 = 2y + 19.A) y = 8B) y = 9C) y = 10D) y = 116. Simplify the expression: (5x - 2) + (3x + 4) - (x - 1).A) 7x + 3B) 7x - 3C) 5x + 3D) 5x - 37. The area of a square is 36 square units. What is the length of each side?A) 3 unitsB) 4 unitsC) 6 unitsD) 9 units8. Solve the inequality: 2x - 5 > 3.A) x > 4B) x > 3C) x < 4D) x < 39. What is the value of the expression 3^2 - 2(3) + 1?A) 4B) 5C) 6D) 710. Simplify the expression: (4x^2 - 9) / (2x - 3).A) 2x + 3B) 2x - 3C) x + 3D) x - 3Section 2: Fill in the Blanks (30 points, 3 points each)11. The product of two consecutive even numbers is 48. The numbers are _______ and _______.12. The sum of three numbers is 45. If the first number is 12, the other two numbers are _______ and _______.13. The ratio of boys to girls in a class is 3:4. If there are 24 boys, there are _______ girls.14. Solve for x: 5(x + 3) = 10x + 15.15. The volume of a cylinder is 5625 cubic units. If the radius is 9 units, the height is _______ units.Section 3: Short Answer Questions (20 points, 5 points each)16. Solve the equation: 4(2x - 1) = 3x + 10.17. Find the area of a triangle with a base of 10 cm and a height of 6 cm.18. Simplify the expression: (2x - 3y) + (4x + 5y) - (3x - 2y).19. The side of a regular hexagon is 6 units. Find its perimeter.20. Solve the inequality: 2(x - 3) < 5x + 1.Section 4: Essay Question (10 points)21. Explain the difference between a linear equation and a quadratic equation. Provide examples of each and explain how to solve them.---This test is designed to assess the mathematical skills of seventh-grade students. It covers various topics such as algebra, geometry, and number properties. The questions are designed to be challenging yet accessible, ensuring that students demonstrate their understanding of the concepts. Good luck!。
卓越绩效知识测试及答案
卓越绩效知识测试及答案(总4页)-CAL-FENGHAI.-(YICAI)-Company One1-CAL-本页仅作为文档封面,使用请直接删除卓越绩效管理知识及企业文化测试题考生注意:本检测卷考试时间为90分钟,总分为100分。
试卷包括选择题、判断题、填空题、简答题。
一、单项选择题(每小题2分,共20分)1.下列类目中不属于领导作用三角的是 C 。
A 领导 B 战略 C 资源 D 顾客与市场2.“卓越绩效评价准则”标准将组织的过程分为价值创造过程、 D 两大类。
A 领导过程 B 采购过程 C 战略过程 D 支持过程3.卓越绩效的核心价值观不包括 C 。
A 快速反应和灵活性B 社会责任与公民义务C 细化管理D 远见卓识的领导 4.卓越绩效中的“标杆”是 D A 测量的用具B 主要应用于预算管理,指作为参考系的一个数值C 是中国元朝时代隐逸家族夏衲利用读动术对人进行的分类总结而编著的性格学说《标杆术》D 针对相似的活动,其过程和结果代表组织所在行业的内部或外部最佳的运作实践和绩效5.以下对卓越绩效准则的理解不正确的是: A A 为组织做符合性评价 B 以卓越的过程创取卓越的结果C 不一致:1+1<2 一致1+1=2 整合:1+1>2D 为组织的相关方创造价值6.卓越绩效诊断式的评价不能作为: D A 质量奖的评价 B 自我评价 C 顾客和供应商评价 D 员工的评价7. 卓越绩效评价准则框架图中,为组织绩效管理系统提供基础的是: DA 管理过程B 经营结果C 资源D 测量、分析与改进 8.现代企业对精细化管理的定义是: C A 产品和服务质量管理的卓越标准名: 单位:密 封 线B 管理体系符合性评价的依据C“五精四细”D对企业的生产经营活动进行组织、计划、指挥、监督和调节等一系列职能的总称。
9.组织过程管理中意味着“与时俱进”,即通过不断地评价“吾日三省吾身”,促进改进和创新,并分享所获得知识,从而持续优化途径。
卓越亚马逊招聘开放式笔试题目及答案
卓越亚马逊招聘开放式笔试题目及答案1.为什么希望加入卓越亚马逊?2.你为什么喜欢软件开发?是什么原因促使你决定选择软件开发作为你的职业?(提示:此题为申请T echnical职位候选人必填问题)3.对于卓越亚马逊价值观中的以客户为中心,你如何理解?之前你在什么情况下感受过以客户为中心的重要性?(提示:此题为申请Retail职位候选人必填问题)以上答题字数均为最多1000字!笔试试题二客观题1.用下列数字和加减乘除,计算出24,每个数字只能用一次:5 5 5 1答案:(5-1/5)*5=242.甲乙丙丁四人预测一场5000米长跑比赛结果,辽宁、山东、河北各派3名选手参加比赛。
甲预测:辽宁队会包揽前三。
乙预测:辽宁队最多获得一块奖牌。
丙预测:山东或河北可能获得奖牌。
丁预测:辽宁若不得冠军,则山东会是冠军。
比赛后,只有一人预测准确,以下哪项最可能是比赛结果:A.第一名:辽宁第二名:辽宁第三名:辽宁B.第一名:辽宁第二名:山东第三名:河北C.第一名:山东第二名:辽宁第三名:河北D.第一名:河北第二名:辽宁第三名:辽宁E.第一名:河北第二名:辽宁第三名:山东答案:D3.据1999年所作的统计,在美国35岁以上的居民中,10%患有肥胖症。
因此,如果到2009年美国的人口将达到4亿的估计是正确的,那么,到2009年美国35岁以上患肥胖症的人数将达到2千万。
以下哪项最可能是题干的推测所假设的?A.在未来的10年中,世界的总人口将有大幅度的增长。
B.在未来的10年中,美国人饮食方式将不会有任何变化。
C.在未来的10年中,世界上将不会有大的战争发生。
D.到2009年,美国人口中35岁以上的将占了一半。
答案:D4.某企业对于原材料的需求如下,每次订货费用20元,每公斤成本为2元,每公斤每月存储成本为1元,请计算出最佳批量成本:1月2月3月4月5月6月8 10 12 10 14 6[标签:内容]。
2023年安徽省合肥市卓越中学九年级下学期数学第一次中考模拟试题(含答案解析)
2023年安徽省合肥市卓越中学九年级下学期数学第一次中考模拟试题学校:___________姓名:___________班级:___________考号:___________一、单选题1.已知23x y =,则下列比例式成立的是()A .32x y=B .23x y =C .32x y =D .23x y =2.把抛物线2y x =-向左平移1个单位,然后向上平移3个单位,则平移后抛物线的解析式为()A .()213y x =--+B .()213y x =-++C .()213y x =-+-D .()213y x =---3.已知ABC 中,90C ∠=︒,A ∠、B ∠、C ∠所对的边分别是a 、b 、c ,且3c b =,则cos A =()A .3B .3C .13D .34.若正方形的外接圆半径为2,则其内接圆半径为()A B .C .2D .15.下列函数中,当0x >时,y 随x 的增大而增大的是()A .21y x =-+B .()211y x =++C .21y x =--D .1y x=6.如图,A ,B 是反比例函数9y x=图象上的两点,分别过点A ,B 作x 轴的垂线.已知3EOF S =△,则阴影部分面积为()A .3B .7C .8D .97.如图,O 的半径为8,ABC 是O 的内接三角形,连接OB ,OC ,若BAC ∠与BOC ∠互补,则弦BC 的长为()A .B .C .D .8.已知二次函数2y ax bx c =++的y 与x 的部分对应值如下表:x 1-013y3-131下列结论:①抛物线的开口向下;②其图象的对称轴为直线1x =;③当1x <时,函数值y 随x 的增大而增大;④方程20ax bx c ++=有一个根大于4,其中正确的结论有()A .1个B .2个C .3个D .4个9.如图,在Rt △ABC 中,∠C =90°,∠A =30°,E 为AB 上一点且AE ∶EB =4∶1,EF ⊥AC 于点F ,连接FB ,则tan ∠CFB 的值等于()AB C D .10.如图,四边形ABCD 是边长为1的正方形,四边形EFGH 是边长为2的正方形,点D 与点F 重合,点B ,D (F ),H 在同一条直线上,将正方形ABCD 沿F H ⇒方向平移至点B 与点H 重合时停止,设点D 、F 之间的距离为x ,正方形ABCD 与正方形EFGH 重叠部分的面积为y ,则能大致反映y 与x 之间函数关系的图象是()A .B .C .D .二、填空题11.已知一斜坡的坡角α=60°,那么该斜坡的坡度为____.12.设点C 是长度为8cm 的线段AB 的黄金分割点(AC BC >),则AC 的长为___________cm .13.如图,我们把一个半圆与抛物线的一部分围成的封闭图形称为“果圆”.已知点A 、B 、C 、D 分别是“果圆”与坐标轴的交点,抛物线的解析式为y=x2﹣6x ﹣16,AB 为半圆的直径,则这个“果圆”被y 轴截得的线段CD 的长为_____.14.在边长为2的菱形ABCD 中,60A ∠=︒,M 是AD 边的中点,若线段MA 绕点M 旋转得到线段MA ',(1)如图①,当线段MA 绕点M 逆时针旋转60︒咐,线段AA '的长=___________;(2)如图②,连接A C ',则A C '长度的最小值是___________三、解答题15.计算:12012tan 3020183-⎛⎫-︒++ ⎪⎝⎭.16.ABC 在平面直角坐标系xOy 中的位置如图所示.(1)作ABC 关于点C 成中心对称的111A B C △;(2)以1C 为位似中心,在图中画出将111A B C △面积放大4倍后的221A B C △,计算221A B C △的面积并直接写出点2A 的坐标.17.已知反比例函数k y x =的图象与二次函数21y ax x =+-的图象相交于点32,2⎛⎫⎪⎝⎭.(1)求a 和k 的值;(2)判断反比例函数的图象是否经过二次函数图象的顶点并说明理由.18.桔槔俗称“吊杆”“称杆”,如图1,是我国古代农用工具,桔槔始见于(墨子·备城门),是一种利用杠杆原理的取水机械.如图2所示的是桔槔示意图,OM 是垂直于水平地面的支撑杆,AB 是杠杆,且 5.4AB =米,:2:1OA OB =.当点A 位于最高点时,127AOM ∠=︒;当点A 从最高点逆时针旋转54.5︒到达最低点1A ,求此时水桶B 上升的高度.(参考数据:sin 370.6︒≈,sin17.50.3︒≈,tan 370.8︒≈)19.如图,抛物线22y x x c =-++与x 轴交于A ,B 两点,它们的对称轴与x 轴交于点N ,过顶点M 作ME ⊥y 轴于点E ,连接BE 交MN 于点F.已知点A 的坐标为(﹣1,0).(1)求该抛物线的解析式及顶点M 的坐标;(2)求△EMF 与△BNF 的面积之比.20.如图,点O 在APB ∠的平分线上,O 与PA 相切于点C .(1)判断PB 与O 的位置关系,并说明理由;(2)PO 的延长线与O 交于点E .若O 的半径为3,4PC =.求弦CE 的长.21.如图,在矩形ABCD 中,点E 为对角线的交点,BF AE ⊥,垂足为点F ,且BF 的延长线交AD 于点M .(1)求证:2AB AM AD =⋅;(2)如果16BD =,12BM =,求AB 的长度.22.某校八年级(1)班共有学生50人,据统计原来每人每年用于购买饮料的平均支出是a 元.经测算和市场调查,若该班学生集体改饮某品牌的桶装纯净水,则年总费用由两部分组成,一部分是购买纯净水的费用,另一部分是其它费用780元,其中,纯净水的销售价x (元/桶)与年购买总量y (桶)之间满足如图所示关系.(1)求y 与x 的函数关系式;(2)若该班每年需要纯净水380桶,且a 为120时,请你根据提供的信息分析一下:该班学生集体改饮桶装纯净水与个人买饮料,哪一种花钱更少?(3)求该班每年购买纯净水费用的最大值,并指出当a 至少为多少时,该班学生集体改饮桶装纯净水更合算.23.如图①,在四边形ABCD 中,AC BD ⊥于点E ,AB AC BD ==,点M 为BC 中点,N 为线段AM 上的点,且MB MN =.(1)求证:BN 平分ABE ∠;(2)连接DN ,若1BD =,当四边形DNBC 为平行四边形时,求线段BC 的长;(3)如图②,若点F 为AB 的中点,连接FN 、FM ,求FNDC的值.参考答案:1.C【分析】根据比例的性质,逐一进行判断即可.【详解】解:A 、由32x y=可得:6xy =,不符合题意;B 、由23x y=可得:32x y =,不符合题意;C 、由32x y=可得:23x y =,符合题意;D 、由23x y =可得:32x y =,不符合题意;故选C .【点睛】本题考查比例的性质.熟练掌握比例式与等积式的互化,是解题的关键.2.B【分析】根据二次函数图象平移的方法即可得出结论.【详解】解:抛物线2y x =-向左平移1个单位,然后向上平移3个单位,则平移后抛物线的解析式为:()213y x =-++故选:B .【点睛】本题考查的是二次函数的图象与几何变换,熟知“上加下减,左加右减”的法则是解答此题的关键.3.C【分析】根据余弦的定义即可求解.【详解】解:如图,ABC 中,90C ∠=︒,∵3c b =,∴1cos 33b b Ac b ===,故选:C .【点睛】本题考查了求锐角的余弦,掌握余弦的定义是解题的关键.4.A【分析】根据题意可知由正方形边长的一半、外接圆半径、内切圆半径正好组成一个直角三角形,画出图形;接下来根据勾股定理从而求得内切圆的半径,据此解答.【详解】解:如图:∵正方形的外接圆半径为2,∴2OA =,又∵4590AOB ABO ∠=︒∠=︒,,∴222OB AB OA +=,即2222OB =,解得OB .故选:A .【点睛】本题主要考查了正多边形与圆,正确利用正方形的外接圆的半径是解答此题的关键.5.B【分析】根据一次函数,二次函数,反比例函数的增减性,逐项判断即可求解.【详解】解:A 、∵20-<,∴当0x >时,y 随x 的增大而减小,故本选项不符合题意;B 、∵函数的对称轴为直线=1x -,且抛物线开口向上,∴当1x >-时,y 随x 的增大而增大,∴当0x >时,y 随x 的增大而增大,故本选项符合题意;C 、∵函数的对称轴为y 轴,且抛物线开口向下,∴当0x >时,y 随x 的增大而减小,故本选项不符合题意;D 、∵10>,∴当0x >时,y 随x 的增大而减小,故本选项不符合题意;故选:B【点睛】本题主要考查了一次函数,二次函数,反比例函数的性质,熟练掌握一次函数,二次函数,反比例函数的增减性是解题的关键.6.A【分析】根据反比例函数k 的几何意义即可求解.【详解】解:如图所示,AF x ⊥轴于点F ,BG x ⊥轴于点G∵反比例函数9y x =∴92BOG AOF S S ==△△,∵3EOF S =△,∴阴影部分的面积S +29OEF S =△∴阴影部分面积为3,故选:A .【点睛】本题考查了反比例函数k 的几何意义,掌握反比例函数k 的几何意义是解题的关键.7.A【分析】根据圆周角定理和已知条件得出120BOC ∠=︒,进而根据垂径定理,勾股定理即可求解.【详解】解:∵ BCBC =,∴2BOC A ∠=∠,又∵180BOC A ∠+∠=︒,∴120BOC ∠=︒,∵OB OC =,∴OBC OCB ∠=∠30=︒,过点O 作OD BC ⊥于点D ,则142OD OC ==∴343BD DC ==∴83BC =,故选:A .【点睛】本题考查了圆周角定理,垂径定理,勾股定理,得出120BOC ∠=︒是解题的关键.8.B【分析】根据二次函数的图象具有对称性和表格中的数据,可以得到对称轴为x=032+=32,再由图象中的数据可以得到当x=32取得最大值,从而可以得到函数的开口向下以及得到函数当x <32时,y 随x 的增大而增大,当x >32时,y 随x 的增大而减小,然后跟距x=0时,y=1,x=-1时,y=-3,可以得到方程ax 2+bx+c=0的两个根所在的大体位置,从而可以解答本题.【详解】解:由表格可知,二次函数y=ax 2+bx+c 有最大值,当x=032+=32时,取得最大值,∴抛物线的开口向下,故①正确,其图象的对称轴是直线x=32,故②错误,当x <32时,y 随x 的增大而增大,故③正确,方程ax 2+bx+c=0的一个根大于-1,小于0,则方程的另一个根大于2×32=3,小于3+1=4,故④错误,故选:B .【点睛】本题考查抛物线与x 轴的交点、二次函数的性质,解答本题的关键是明确题意,利用表格中数据和二次函数的性质判断题目中各个结论是否正确.9.C【详解】根据题意:在Rt △ABC 中,∠C=90°,∠A=30°,∵EF ⊥AC ,∴EF ∥BC ,∴CF AC =BEAB∵AE :EB=4:1,∴ABEB=5,∴AF AC =45,设AB=2x ,则BC=x ,∴在Rt △CFB 中有,BC=x .则tan ∠CFB=BC CF 故选C .10.B【分析】正方形ABCD 与正方形EFGH 重叠部分主要分为3个部分,属于分段函数;通过列出每一段的函数关系式,得到每一段的函数图象,从而选出正确答案的.【详解】由DF x =,正方形ABCD 与正方形EFGH 重叠部分的面积为y .则①2211(022y DF x x ==≤;②y x =<;③BH x=-∴221122y BH x x ==-+<综上可知,图象随着自变量的增大,函数图象如图所示故选:B .【点睛】本题主要考查的是动点问题的函数的图象.解题的关键是要根据条件找到所给的两个变量之间的函数关系,尤其是在几何问题中,更要注意基本性质的掌握和灵活运用.11##1【分析】坡度=坡角的正切值,据此直接解答.【详解】解:∵tan 60:1︒=,∴斜坡的坡度为i =,【点睛】此题主要考查学生对坡度及坡角的理解及掌握.12.()4【分析】根据黄金分割点的定义,进行计算即可.【详解】解:由题意,得:AC AB =,∴()84cm AC ==;故答案为:()4.【点睛】本题考查黄金分割点.熟练掌握黄金分割点的定义,是解题的关键.13.20【分析】抛物线的解析式为y=x 2-6x-16,可以求出AB=10;在Rt △COM 中可以求出CO=4;则:CD=CO+OD=4+16=20.【详解】抛物线的解析式为y=x 2-6x-16,则D (0,-16)令y=0,解得:x=-2或8,函数的对称轴x=-2b a =3,即M (3,0),则A (-2,0)、B (8,0),则AB=10,圆的半径为12AB=5,在Rt △COM 中,OM=5,OM=3,则:CO=4,则:CD=CO+OD=4+16=20.故答案是:20.【点睛】考查的是抛物线与x 轴的交点,涉及到圆的垂径定理.14.11【分析】(1)根据中点定义可求出线段MA ,根据旋转的性质可得MA ',根据等边三角形的性质可得AA '的长;(2)当A '在MC 上时,线段A C '长度最小,作ME CD ⊥于点E ,首先在Rt MDE 中中利用三角函数求得ED 和EM 的长,然后在Rt CEM 中利用勾股定理求得MC 的长,然后减去MA '的长即可求解.【详解】解:(1)∵M 是AD 边的中点,∴112122MA AD ==⨯=,∵线段MA 绕点M 逆时针旋转60︒得到线段MA ',∴1MA MA '==,60AMA ∠='︒,∵60A ∠=︒,∴MAA ' 是等边三角形,∴1AA MA MA ''===,故答案是1;(2)∵A C CM MA ≥'-',∴当A '在MC 上时,线段A C '长度最小,作ME CD ⊥延长线于点E ,∵菱形ABCD 中,60A ∠=︒,∴60EDM ∠=︒,在Rt MDE 中,11cos 122DE MD EDM =∠=⨯= ,sin 122ME MD EDM =∠=⨯= ,则15222EC DE CD =+=+=,在Rt CEM 中,MC ===当A '在MC 上时,线段A C '长度最小,,则A C '1.1.【点睛】本题考查了旋转的性质,菱形的性质,解直角三角形,以及勾股定理,理解A C '最短的条件是关键.15.1【分析】先根据乘方,特殊角的三角函数值,负整数指数幂,零指数幂化简,再计算,即可求解.【详解】解:12012tan 3020183-⎛⎫-︒++ ⎪⎝⎭431=-+4131=-+++1=【点睛】本题主要考查了特殊角的三角函数值,负整数指数幂,零指数幂,熟练掌握相关运算法则是解题的关键.16.(1)见解析(2)画图见解析,221A B C △的面积为6,()24,0A 或()24,4A -【分析】(1)根据中心的对称的性质找到,A B 关于点C 的对称轴点11,A B ,顺次连接即可求解;(2)根据位似的性质,将1111,C B C A 延长至22,B A ,使得121112112,2C B C B C A C A ==,连接22A B ,则221A B C △即为所求,根据坐标系写出点2A 的坐标,根据正方形减去3个三角形的面积得出111A B C △的面积,再乘以4即可求221A B C △的面积.【详解】(1)解:如图所示,111A B C △即为所求;(2)解:如图所示,221A B C △即为所求,()24,0A 或()24,4A -111A B C △的面积为1113221121212222⨯-⨯⨯-⨯⨯-⨯⨯=;∴221A B C △的面积为6.【点睛】本题考查了画中心对称图形,坐标系中画位似图形,写出点的坐标,掌握位似图形的性质,中心对称图形的性质是解题的关键.17.(1)3k =,18a =(2)不经过,理由见解析【分析】(1)将点32,2⎛⎫ ⎪⎝⎭分别代入函数解析式,待定系数法求解析式即可求解;(2)求得二次函数图象的顶点坐标,即可求解.【详解】(1)将点32,2⎛⎫ ⎪⎝⎭代入k y x =,得,322k =,解得:3k =,∴反比例数解析式为3y x=,将点32,2⎛⎫ ⎪⎝⎭代入21y ax x =+-,得3=4212a +-,解得:18a =,∴2118y x x =+-;(2)()22111=4388y x x x =+-+-,则抛物线的顶点坐标为()4,3--,∵反比例数解析式为3y x=,当4x =-时,34y =-3≠-,∴反比例函数的图象不经过二次函数图象的顶点.【点睛】本题考查了待定系数法求反比例函数解析式,二次函数解析式,掌握反比例函数与二次函数图象与性质是解题的关键.18.水桶B 上升的高度1.62米【分析】过O 作EF OM ⊥,过B 作BC EF ⊥于C ,过1B 作1B D EF ⊥于D ,在Rt OBC △中和在1Rt OB D △中,分别利用三角函数求出BC 和1B D 的长即可.【详解】解:过O 作EF OM ⊥,过B 作BC EF ⊥于C ,过1B 作1B D EF ⊥于D ,∵127AOM ∠=︒,90EOM ∠=︒,∴1279037AOE ∠=︒-︒=︒,∴37BOC AOE ∠=∠=︒,∵154.5AOA ∠=︒,∴1154.53717.5B OD A OE ︒∠=∠=︒-︒=,∵ 5.4AB =米,:2:1OA OB =,∴ 3.6OA =米, 1.8OB =米,在Rt OBC △中,sin sin 370.6 1.8 1.08BC OCB OB OB =∠⨯=︒⨯≈⨯=(米),在1Rt OB D △中,11sin17.50.31.80.54B D OB =︒⨯≈⨯=(米),∴1 1.080.54 1.62BC B D +=+=(米),∴此时水桶B 上升的高度为1.62米.【点睛】本题主要考查了解直角三角形的应用,读懂题意,构造直角三角形是解题的关键.19.(1)223y x x =-++,(1,4);(2)14.【分析】(1)直接将(﹣1,0)代入求出即可,再利用配方法求出顶点坐标,(2)利用EM ∥BN ,则△EMF ∽△BNF ,进而求出△EMF 与△BNE 的面积之比.【详解】解:(1)∵点A 在抛物线22y x x c =-++上,∴()()21210c --+⋅-+=,解得:c=3,∴抛物线的解析式为223y x x =-++.∵()222314y x x x =-++=--+,∴抛物线的顶点M (1,4);(2)∵A (﹣1,0),抛物线的对称轴为直线x=1,∴点B (3,0).∴EM=1,BN=2.∵EM ∥BN ,∴△EMF ∽△BNF.∴221124EMF BNF S EM S NB ∆∆⎛⎫⎛⎫=== ⎪ ⎪⎝⎭⎝⎭.20.(1)PB 与O 相切,理由见解析【分析】(1)连接OC ,过点O 作OD PB ⊥,交PB 于点D ,根据角平分线的性质,可得OD OC =,即可得到PB 与O 相切;(2)设PO 交O 于点F ,连接CF ,证明PCF PEC ∽△△,求出PF 的长,利用相似比,得到12CF CE =,再利用勾股定理,进行求解即可.【详解】(1)解:PB 与O 相切,理由如下:连接OC ,∵O 与PA 相切于点C ,∴OC PA ⊥,过点O 作OD PB ⊥,交PB 于点D ,∵点O 在APB ∠的平分线上,∴OC OD =,∴点D 在O 上,∴PB 与O 相切.(2)设PO 交O 于点F ,连接CF ,则:90ECF ∠=︒,∵OC PA ⊥,∴90OCP ECF ∠=∠=︒,∵OC OF =,∴OCF OFC ∠=∠,∵90OCF PCF OFC E ∠+∠=∠+∠=︒,∴PCF E ∠=∠,∵CPF CPE ∠=∠,∴PCF PEC ∽△△,∴PC PF PE PC =,即:PC PF EF PF PC=+,∵O 的半径为3,4PC =,∴6EF =,∴464PF PF =+,∴2PF =或8PF =-(舍去);∴12CF PF CE PC ==,∴12CF CE =,在Rt CEF △中:222EF CE CF =+,即:221364CE CE =+,∵0CE >,∴CE =.【点睛】本题考查圆的综合应用,主要考查了切线的判定和性质,角平分线的性质,相似三角形的判定和性质,以及勾股定理.熟练掌握相关知识点,并灵活运用,是解题的关键.21.(1)见解析(2)485【分析】(1)证明BAM ADC ∽,即可得证;(2)利用BAM ADC ∽,得到123164BA BM AD AC ===,设3,4AB x AD x ==,得到516BD x ===,即可得解.【详解】(1)证明:∵四边形ABCD 为矩形,∴90,BAD ADC AB CD ∠=∠=︒=,∵BF AE ⊥,∴90AFB BAD ∠=∠=︒,∴90ABM DAC BAF ∠=∠=︒-∠,∴BAM ADC ∽,∴BA AM AM AD CD AB==,∴2AB AM AD =⋅;(2)解:∵四边形ABCD 为矩形,∴16AC BD ==,∵BAM ADC ∽,∴123164BA BM AD AC ===,设3,4AB x AD x ==,则:516BD x ===,∴165x =,∴4835AB x ==.【点睛】本题考查矩形的性质,相似三角形的判定和性质.熟练掌握矩形的性质,证明三角形相似,是解题的关键.22.(1)80720y x =-+(2)饮用桶装纯净水花钱少(3)该班每年购买纯净水费用的最大值为1620元;当a 至少为48时,该班学生集体改饮桶装纯净水更合算.【分析】(1)设y 与x 的函数关系式为()0y kx b k =+≠,根据题意得出k ,b 的值即可求出y 与x 的函数关系式.(2)分别计算出买饮料每年总费用以及饮用桶装纯净水的总费用比较可得;(3)设该班每年购买纯净水的费用为W 元,解出二次函数求出W 的最大值可求解.【详解】(1)解:设y 与x 的函数关系式为()0y kx b k =+≠,根据题意得:当4x =时,400y =;当5x =时,320y =.∴400=43205k b k b +⎧⎨=+⎩,解之,得80720k b =-⎧⎨=⎩,∴y 与x 的函数关系式为80720y x =-+;(2)解:该班学生买饮料每年总费用为501206000⨯=(元),当380y =时,38080720x =-+,解得 4.25x =.该班学生集体饮用桶装纯净水的每年总费用为380 4.257802395⨯+=(元).显然,从经济上看饮用桶装纯净水花钱少.(3)解:设该班每年购买纯净水费用为W 元,根据题意得:()29807208016202W xy x x x ⎛⎫==-+=--+ ⎪⎝⎭,∴当92x =时,W 的值最大,最大值为1620,即该班每年购买纯净水费用的最大值为1620元,∵该班学生集体改饮桶装纯净水更合算,∴50780a W ≥+最大,即501620780a ≥+,解得:48a ≥,所以当a 至少为48时,该班学生集体改饮桶装纯净水更合算.【点睛】本题要注意利用一次函数的特点,列出方程组,求出未知数的值从而求得其解析式以及运用二次函数解决实际问题的能力.23.(1)见解析(3)12【分析】(1)由AB AC =知A ABC CB =∠∠,由等腰三角形三线合一知AM BC ⊥,从而根据MAB ABC EBC ACB ∠+∠=∠+∠知MAB EBC ∠=∠,再由MBN △为等腰直角三角形知45EBC NBE MAB ABN MNB ∠+∠=∠+∠=∠=︒可得证;(2)设BM CM MN a ===,知2DN BC a ==,证ABN DBN ≌得到2AN DN a ==,Rt ABM 中利用勾股定理可得a 的值,从而得出答案;(3)F 是AB 的中点知MF AF BF ==及FMN MAB CBD ∠=∠=∠,再由12MF MN AB BC ==,证明MFN BDC ∽△△,即可得出结论.【详解】(1)证明:∵AB AC =,∴A ABC CB =∠∠,∵M 为BC 的中点,∴AM BC ⊥,在Rt ABM 中,90MAB ABC ∠+∠=︒,在Rt CBE △中,90EBC ACB ∠+∠=︒,∴MAB EBC ∠=∠,又∵MB MN =,∴MBN △为等腰直角三角形,∴45MNB MBN ∠=∠=︒,∴45EBC NBE ∠+∠=︒,45MAB ABN MNB ∠+∠=∠=︒,∴NBE ABN ∠=∠,即BN 平分ABE ∠;(2)设BM CM MN a ===,∵四边形DNBC 是平行四边形,∴2DN BC a ==,在ABN 和DBN 中,∵AB DB NBE ABN BN BN ⎧⎪∠∠⎨⎪⎩===,∴()SAS ABN DBN ≌,∴2AN DN a ==,在Rt ABM 中,由222AM MB AB +=,即:()2221a a a ++=,解得:10a =±(负值舍去),∴25BC a ==;(3)∵F 是AB 的中点,∴在Rt MAB 中,MF AF BF ==,∴MAB FMN ∠=∠,又∵MAB CBD ∠=∠,∴FMN CBD ∠=∠,∵12MF MN AB BC ==,∴12MF MN BD BC ==,∴MFN BDC ∽△△,∴12FN MF MN DC BD BC ===.【点睛】本题主要考查相似形的综合问题,解题的关键是掌握等腰三角形三线合一的性质、直角三角形和平行四边形的性质及全等三角形与相似三角形的判定与性质等知识点.。
浙江省杭州市卓越教育集团2016届九年级下学期全真模拟定位考英语试题(B卷,word版)答案
2016 年卓越初中全市全真模拟定位考初三英语(B 卷)答案一、听力(共两节,满分40 分)第一节听力理解(共15 小题,30 分;每小题2 分)第二节听取信息(共5 小题,10 分;每小题2 分)A.Care B.good C.real D.birthday E.problems 二、语法选择(共15 小题;每小题1 分,满分15 分)三、完形填空(共10 小题;每小题1.5 分,满分15 分)四、阅读(共两节)第一节阅读理解(共20 小题;每小题2 分,满分40 分)第二节阅读填空(共5 小题;每小题1 分,满分5 分)第 1 页共2 页五、写作(共两节,满分35 分)第一节单词拼写根据句子意思和所给的首字母写出所缺单词。
(共6 小题,每小题1 分,满分6 分)(请写出完整的单词)66.danger 67.join 68.important 69.mind 70.agree 71.enough第二节完成句子根据所给的汉语内容,用英语完成下列句子。
(共7 小题,每小题2 分,满分14 分)72.because of 73.for;to find out 74.if/whether I invited 75.so;that;fall asleep 76.What bad/terrible 77.Though/Although;take place 78.can be seen/watched第三节书面表达(共l 小题,满分15 分)The May Day holiday is coming. We all feel excited about it. After all, after two months’ study, we are all very tired.First, I will go for a picnic with my classmates. The weather in May is always very fine. I’m sure we’ll have great fun and relax ourselves a lot. Second, I will reflect on my study in the last two months to find my shortcomings. Then, I will set a new goal and improve my studying method in order to make greater progress in the near future. The third thing I want to do is to learn some English, because my English is not very good. But I know it is very important if I want to succeed. Of course, I am also going to help my mother do some housework.Now, I am looking forward to enjoying my life in the holiday. I believe it can be very wonderful.第 2 页共2 页。
2021届全国卓越联盟新高考模拟试卷(二十二)英语试题
2021届全国卓越联盟新高考模拟试卷(二十二)英语试题★祝考试顺利★注意事项:1、考试范围:高考范围。
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第二部分阅读理解(共两节,满分40分)第一节(共15小题;每小题2分,满分30分)阅读下列短文,从每题所给的ABC和D四个选项中,选出最佳选项。
AThis is What a REAL Silver Dollar Looks LikeIf you trust in the yen, the euro, and the dollar... stop reading.Because this is a story about the silver coin EVERYBODY wants.You read the headlines. You know that troubled economic times have put global currency on a rollercoaster ride. But millions have found a smarter way to build long-term value with high-grade collectable silver. And right now, those people are lining up to secure some of the last 2012 U. S. Mint Silver Eagles, America's Newest Silver Eagle Dollars. Today, you can graduate to the front of that line. Buy now and you can own these brilliant uncirculated Silver Dollars for only $38.95!You Can't Afford to LoseWhy are we releasing this silver dollar for such a remarkable price? Because we want to introduce you to what hundreds of thousands of smart collectors and satisfied customers have known since 1984—New York Mint is the place to find the world's finest high-grade coins. That's why we're offering you this Brilliant Uncirculated 2012 U. S. Silver Eagle for as little as $37.45 (plus s/h).Timing is EverythingOur advice? Keep this to yourself. Because the more people who know about this offer, the worse it is for you. Demand for Silver Eagles in 2011 broke records. Experts predict that 2012 Silver Eagles may break them all over again. Due to rapid changes in the price of silver, prices may be higher or lower and are subject to(受...影响) change without notice. Supplies are limited. Call immediately to add these Silver Eagles to your holdings before it's too late.Offer Limited to 40 per household 2012 American Silver Eagle CoinYour cost1-4 Coins $38.95 each + s/h5-9 Coins $38.45 each + s/h10-19 Coins $37. 95 each + s/h20-40 Coins $37.45 each + s/hNote: $10 s/h (shipping and handling) for each purchaseFor fastest service, call toll-free 24 hours a dayNew York Mint 141011-888-201-7143Southcross Drive W.,Dept. ASE177-04Offer Code (代码) ASE177-04Burnsville, Minnesota 55337Please mention this code when you call.www. NewYorkMint. com1. What is stressed in the ad?A. The coin can be circulated as a currency.B. Demand for the coin is bound to break records.C. The coin is of high quality and worth collecting.D. Limited supplies guarantee a stable price of the coin.2. If you buy six 2012 U. S. Mint Silver Eagles by post, you should pay at least _______.A. $230.7B. $233.7C. $240.7D. $243.73. The ad strongly encourages people to purchase the silver coins by ________.A. shopping onlineB. making a phone callC. writing to the companyD. lining up in front of the stores【答案】1. C 2. C 3. B【解析】【分析】本文为新闻广告。
河北省石家庄卓越中学2023-2024学年高二下学期期中数学试题
河北省石家庄卓越中学2023-2024学年高二下学期期中数学试题一、单选题1.已知随机变量ξ服从正态分布()2N 2,σ,且()40.8P ξ<=,则()02P ξ<<等于( )A .0.6B .0.4C .0.3D .0.22.函数e ln x y x =的导数是( )A .e xxB .e ln xxC .e e ln xxx x+D .e ln e xx3.已知某随机变量X 的分布为则()E X 等于( ) A .0.5B .0.3C .0.2D .无法确定4.在(12)n x -的展开式中,偶数项的二项式系数之和为128,则展开式中二项式系数最大的项的系数为( ) A .-960B .960C .1120D .16805.将5种不同的花卉种植在如图所示的四个区域中,每个区域种植一种花卉,且相邻区域花卉不同,则不同的种植方法种数是( ).A .420B .180C .64D .256.如图,函数()y f x =的图象在点()2,P y 处的切线是l ,则(2)(2)f f '+=( )A .3-B .2-C .2D .17.已知()ln 3(e)f x x f x '=-,求(e)f '=( ) A .14eB .13e-C .1e -D .148.为落实立德树人的根本任务,践行五育并举,某学校开设A ,B ,C 三门德育校本课程,现有甲、乙、丙、丁、戊五位同学参加校本课程的学习,每位同学仅报一门,每门至少有一位同学参加,则不同的报名方法有( ) A .54种B .240种C .150种D .60种二、多选题9.满足不等式21A 7n n --<的n 的值为( ) A .3B .4C .5D .610.在8(12)x +的展开式中,下列说法正确的是( )A .二项式系数最大的项为41120xB .常数项为2C .第6项与第7项的系数相等D .含3x 的项的系数为44811.已知定义在R 上的函数()f x ,其导函数()f x '的大致图象如图所示,则下列叙述错误的是( )A .()()()f c f b f a >>B .函数()f x 在x c =处取得极小值,在x e =处取得极大值C .函数()f x 在x c =处取得极大值,在x e =处取得极小值D .函数()f x 的最小值为()f d12.两批同种规格的产品,第一批占30%,次品率为3%;第二批占70%,次品率为6%,将这两批产品混合后,从中任取1件,则下列说法正确的是( )A .这件产品是合格的概率为0.051B .这件产品是次品的概率为0.051C .已知取到的是次品,那么它取自第一批产品的概率为317D .已知取到的是次品,那么它取自第二批产品的概率为1417三、填空题13.若随机变量~(10,0.2)B ζ,则()D ζ=.14.若()44324321021x a x a x a x a x a +++=-+,则01234a a a a a ++++=. 15.由12345、、、、这5个数字可以组成个没有重复数字的三位偶数.16.小智和电脑连续下两盘棋,已知小智第一盘获胜的概率是0.5,小智连续两盘都获胜的概率是0.4,那么小智在第一盘获胜的条件下,第二盘也获胜的概率是.四、解答题17.已知21nx x ⎛⎫ ⎪⎝⎭+的展开式中的所有二项式系数之和为32.(1)求n 的值;(2)求展开式中4x 的系数.18.从甲地到乙地要经过3个十字路口,设各路口信号灯工作相互独立,且在各路口遇到红灯的概率分别为12,13,14.(1)若有一辆车独立地从甲地到乙地,求这一辆车未遇到红灯的概率;(2)记X 表示一辆车从甲地到乙地遇到红灯的个数,求随机变量X 的分布列和数学期望. 19.某班从6名男生和4名女生中,随机抽取5人组成数学兴趣小组,另5人组成物理兴趣小组.(1)求数学兴趣小组中包含男生A ,但不包含女生a 的概率;(2)用X 表示物理兴趣小组中的女生人数,求X 的分布列与数学期望()E X .20.已知函数()32233f x x ax bx c =+++在x=1及x=2处取得极值.(1)求a 、b 的值;(2)若方程()0f x =有三个根,求c 的取值范围.21.甲、乙两队要举行一场排球比赛,双方约定采用“五局三胜”制赛规,即一场比赛全程最多打五局,比赛双方只要有一个队先胜三局,则比赛就此结束,且该队为获胜方.根据以往大量的赛事记录可知甲、乙两队在比赛中每局获胜的概率分别为21,33.(1)求乙队以3:2的比分获胜的概率;(2)设确定比赛结果需要比赛X 局,求X 的分布列及数学期望. 22.已知函数()()1ln xf x a a x+=-∈R . (1)若0a =,求()f x 的单调区间;(2)若()0f x ≤在(0,)+∞上恒成立,求a 的取值范围.。
多元卓越计划能力测试逻辑题英文
多元卓越计划能力测试逻辑题英文English: The Multidimensional Excellence Program (MEP) ability test is designed to assess an individual's logical reasoning skills. The test consists of a series of questions that require the test taker to analyze information, identify patterns, and make predictions based on that information. These questions often involve sequences of numbers, letters, or shapes that follow a certain rule or pattern. Test takers must be able to understand the relationships between the elements in the sequence in order to accurately predict the next item in the series. By measuring logical reasoning skills, the MEP ability test provides valuable insight into an individual's cognitive abilities and problem-solving skills, making it a valuable tool for evaluating candidates in a variety of fields.Translated content: 多元化卓越计划(MEP)能力测试旨在评估个人的逻辑推理能力。
2022年03月江南大学教师卓越中心招聘3名专业技术人员笔试历年高频考点试题答案解析
2022年03月江南大学教师卓越中心招聘3名专业技术人员笔试历年高频考点试题答案解析(图片可自由调整大小)全文为Word可编辑,若为PDF皆为盗版,请谨慎购买!第壹卷一.高等教育法规(共15题)1.在实践中,教育经费普遍短缺,教师工资长期反复地被拖欠,学校周边环境日益恶劣,学校乱收费屡禁不绝,家长教养不当,学生不断流失,童工、童商等快速增多。
以上在教育领域内出现的社会现象,都是教育法规明令禁止的,但却没有得到切实执行,说明我们没有()。
A.有法可依B.有法必依C.执法必严D.违法必究答案:C本题解析:暂无解析2.广西真题:由国务院根据宪法和教育法律制定的关于教育行政管理的规范性文件称之为()。
A.教育行政法规B.教育行政规章C.部门教育规章D.政府教育法规答案:A本题解析:暂无解析3.教育法律关系与一般法律关系的重要区别在于教育法律关系具有()。
A.复杂性B.同一性C.强制性D.阶级性答案:B本题解析:暂无解析4.建设()是中华民族永续发展的千年大计。
A.物质文明B.精神文明C.生态文明D.社会文明答案:C本题解析:暂无解析5.我国现行高等学校内部管理体制采取的是()。
A.校长负责制B.党委领导下的校长负责制C.教授委员制D.校务委员会集体负责制答案:B本题解析:我国现行高等学校内部管理体制采取的是党委领导下的校长负责制。
6.《中华人民共和国教师法》的颁布时间是()。
A.1978年B.1985年C.1986年D.1993年答案:D本题解析:暂无解析7.教师资格制度是国家对教师实行的一种特定的()A.职业认定制度B.职业许可制度C.职业审核制度D.职业监督制度答案:B本题解析:教师资格制度是国家对教师实行的一种特定的职业许可制度,即具有法定条件和专业能力经认定合格的人,才可以取得教师资格,从事教师职业的一种制度。
8.按照《普通高等学校学生管理规定》,对完成本专业学业同时辅修其他专业并达到该专业辅修要求者,由学校发给()。
卓越英语九年级上册试卷2023
卓越英语九年级上册试卷2023全文共3篇示例,供读者参考篇1The topic I will be writing about is the "Excellent English Grade Nine Semester One Exam 2023". This exam is an important milestone for students as it tests their knowledge and skills in English language and literature. The exam covers a wide range of topics including grammar, vocabulary, reading comprehension, writing, and speaking skills.The exam is divided into multiple sections, each designed to assess a different aspect of the students' English proficiency. The grammar section tests the students' ability to identify and correct grammatical errors in sentences, while the vocabulary section assesses their knowledge of words and phrases commonly used in the English language. The reading comprehension section presents students with passages to read and answer questions based on the information provided in the text.In the writing section, students are required to write essays or short responses to prompts in order to demonstrate theirability to express themselves clearly and logically in writing. This section is crucial as it allows students to showcase their creativity and critical thinking skills. Additionally, the speaking section tests the students' ability to communicate effectively in English through conversations and presentations.Preparing for the Excellent English Grade Nine Semester One Exam 2023 requires a combination of studying and practice. Students should review their notes and textbooks, complete practice exercises, and seek help from teachers or tutors if needed. It is also important for students to familiarize themselves with the format of the exam and practice under timed conditions to improve their time management skills.Overall, the Excellent English Grade Nine Semester One Exam 2023 is a challenging yet rewarding experience for students. By studying hard and practicing diligently, students can achieve success in the exam and improve their English language skills for the future.篇2Title: Outstanding English Ninth Grade Test Paper 2023IntroductionThe ninth-grade English test paper for the year 2023 is designed to assess students' proficiency in all aspects of the English language, including reading, writing, listening, and speaking. The test aims to evaluate students' understanding of English grammar, vocabulary, and comprehension skills, as well as their ability to express themselves clearly and effectively in both written and spoken form.Reading ComprehensionThe reading comprehension section of the test includes a variety of texts, such as news articles, short stories, and poetry. Students are required to read the texts carefully and answer questions based on their understanding of the material. Questions may range from identifying key information in the text to analyzing the author's tone and purpose.WritingIn the writing section of the test, students are asked to write essays, letters, or reports on various topics. They are evaluated on their ability to structure their writing logically, use appropriate vocabulary and grammar, and convey their ideas clearly and persuasively. Students may also be asked to edit and revise a piece of writing to improve its overall quality.ListeningThe listening section of the test assesses students' ability to understand spoken English in a variety of contexts, such as conversations, interviews, and lectures. Students are required to listen to audio recordings and answer questions based on the information they hear. Questions may test students' comprehension of main ideas, details, and specific information.SpeakingThe speaking section of the test evaluates students' ability to communicate orally in English. Students may be asked to participate in conversations, role-plays, or presentations on given topics. They are assessed on their clarity of speech, fluency, pronunciation, and ability to express themselves coherently.ConclusionThe ninth-grade English test paper for the year 2023 is a comprehensive assessment of students' proficiency in the English language. By testing students' reading, writing, listening, and speaking skills, the test provides valuable feedback on their strengths and areas for improvement. Overall, the test paper aims to encourage students to continue developing their Englishlanguage skills and prepare them for future academic and professional challenges.篇3Super English Ninth Grade Volume I Exam 2023Part One: Reading ComprehensionRead the following passages and answer the questions that follow.Passage 1:In the world of technology, new advancements are constantly being made. One such advancement is the development of self-driving cars. These vehicles use sensors and technology to navigate the roads without the need for human intervention. While this may seem like the future, it is actually a reality today. Companies like Tesla and Google have been testing self-driving cars for years, with the hope of one day making them available to the general public.1. What is the main topic of the passage?A. The development of self-driving carsB. The history of technologyC. The future of transportationD. The dangers of self-driving cars2. Which companies have been testing self-driving cars?A. Amazon and AppleB. Tesla and GoogleC. Microsoft and IBMD. Facebook and TwitterPassage 2:Climate change is a pressing issue that affects us all. The burning of fossil fuels has led to an increase in greenhouse gases, causing the Earth's temperature to rise. This has resulted in more frequent and severe weather events, such as hurricanes, droughts, and wildfires. It is crucial that we take action to reduce our carbon footprint and protect the planet for future generations.3. What is the main cause of climate change?A. DeforestationB. Animal agricultureC. Burning fossil fuelsD. Industrial pollution4. Why is it important to reduce our carbon footprint?A. To save moneyB. To protect the planetC. To gain recognitionD. To increase air pollutionPart Two: Grammar5. Choose the correct form of the verb to complete the sentence: The students ________ (study) for their exams all week.A. has studiedB. is studyingC. have studiedD. will study6. Which sentence is grammatically correct?A. She don't like pizzaB. He play football every SundayC. They are going to the movies tonightD. I goes to school by busPart Three: WritingAnswer the following question in complete sentences.7. What are the benefits of learning a second language? Provide examples to support your answer.Remember to use proper grammar and punctuation in your responses.Good luck!---This exam is designed to test your knowledge and understanding of the English language. Make sure to read each question carefully and take your time to think about your answers. Best of luck on your exam!。
山东省滨州市卓越2022-2023学年中考联考英语试题含答案
2023年中考英语模拟试卷注意事项:1.答卷前,考生务必将自己的姓名、准考证号填写在答题卡上。
2.回答选择题时,选出每小题答案后,用铅笔把答题卡上对应题目的答案标号涂黑,如需改动,用橡皮擦干净后,再选涂其它答案标号。
回答非选择题时,将答案写在答题卡上,写在本试卷上无效。
3.考试结束后,将本试卷和答题卡一并交回。
Ⅰ. 单项选择1、I stopped _____the night in a small village while I was on holiday in the Himalayas a few years ago.A.at B.for C.until D.through2、--Today is Linda’s birthday. Have you bought her a gift?--Oh, my god! I __________ forgot her birthday.A.probably B.completely C.hardly3、The traffic was very heavy, but nobody was late, _______ me.A.except B.above C.through D.below4、I’m sorry. My parents aren’t here now. They have ______ on their journey to Hainan.A.sold out B.left out C.set out D.brought out5、1 didn't mean to trouble Curry yesterday. It was pouring with rain so I his offer of a lift.A.refused B.received C.allowed D.accepted6、________ my sister ________ I do well in our lessons. My mother is very proud of us.A.Not;but B.Neither;nor C.Either;or D.Both;and7、Music helps us _______ /rɪ'læks/ a lot when we feel tired .A.read B.red C.rest D.relax8、While traveling in a strange place, you’d better ________ the local people and follow their customs.A.watch B.control C.teach D.check9、—What do you think of happiness, Zoe?—I think happiness is a way station too much and too little.A.among B.between C.opposite D.beyond10、—Hi, Jack! What about playing soccer after school?—I’d love to, but it’s my grandfather’s ______ birthday and we will have a celebration.A.ninetith B.ninetieth C.nintiethⅡ. 完形填空11、I came across a website a few days ago. After I spent hours reading all the stories on it , I was deeply moved by them. So I couldn't wait to order a lot of smile cards online immediately. I 1 my new idea with my best friend, Annie, my roommate and she got so excited that she agreed to start the work with me and make the people in the city2 on the smile cards gradually.We set down to prepare for it until the smile cards arrived. We put money with some cards and chocolate with the others.Then we walked 3 and found some lovely people that we would give our smile cards to. At first, we went into a shopping mall. We caught 4 of a young woman there and went over to ask her if she would pass the card along. She gave a big smile and said she would. Outside the mall. we saw an elderly man 5 a heavy hag. It seemed that he needed some help. When we handed smile card to him, he just stood there, looking between us and the small parcel (包裹) . He looked a little 6 by it all. In a hospital, we met with an old lady waiting for her treatment.Annie showed kindness to her and she had a big 7 on her face even though she hadn't opened the card with money inside.We kept on walking and gave out more little gifts to the people in a community. We had so much fun 8smile cards ! Annie and I were sure that there would be more smile cards appearing in the city1.A.changed B.shared C.argued D.explained2.A.work B.put C.pass D.insist3.A.away B.down C.out D.around4.A.hold B.attention C.breath D.sight5.A.carrying B.throwing C.emptying D.tying6.A.regretted B.confused C.frightened D.excited7.A.joke B.surprise C.smile D.shame8.A.delivering B.selling C.playing D.snakingⅢ. 语法填空12、二、语法填空:用所给单词的适当形式填空,未给词的限填一词。
卓越计划物理试题
卓越计划物理试题卓越计划物理试题一、选择题速度是描述物体运动快慢的物理量,它的国际单位是____A. 米/秒B. 千米/小时C. 米D. 秒下列单位属于国际单位制中基本单位的是____A. 米B. 千克C. 秒D. 牛顿下列关于矢量与标量的说法中正确的是____A. 有方向的物理量叫做矢量B. 矢量相加遵守平行四边形定则C. 温度计、弹簧测力计都是矢量计D. 标量相加遵守代数和法则下列单位中属于国际单位制中基本单位的是()A. 牛顿B. 米C. 千克D. 秒下列关于重力和重心的说法中正确的是()A. 物体所受的重力就是地球对物体的吸引力B. 重力的方向总是指向地心C. 用细软线将物体悬挂起来,静止时重心一定在悬线所在直线D. 重心就是物体所受重力的等效作用点二、填空题国际单位制中,长度的基本单位是____,时间的基本单位是____,速度的基本单位是____。
重力的方向总是____,重力的作用点叫做____,质量分布均匀、形状规则的物体的重心在它的____上。
一辆汽车沿平直公路行驶,从经过某路标开始计时,发动机牵引力F随时间t变化的规律是F = 100 - 5t(100 - 5t的单位是牛顿),则汽车速度v随时间t变化的关系是v = _______;t = 4s时,汽车的瞬时速度v = _______。
用刻度尺测得某物体的长度为12.34cm,则所用刻度尺的最小刻度是____。
测量的准确程度达到____。
在寒冷的冬夜里,窗户上结了一层冰花,冰花生成于窗户的____表面(选填"内"或"外"),是因为这个表面上的水蒸气发生了____现象。
卓越绩效模式第三部分4.3顾客和市场“测试题
卓越绩效模式第三部分4.3顾客和市场“测试题《卓越绩效评价准则》第三部分:“4.3以顾客为中心”姓名部门(满分100,60分为及格)得分__________一、单项选择题(共40 分,每题5 分)1. 重复多次购买该企业的产品并向他人推荐的顾客属于组织的()。
A、直接顾客B、忠诚顾客C、最终顾客D、老顾客2. 下列关于顾客满意的论述不正确的是( )。
A、顾客满意是顾客对其要求已被满足的程度感受B、满意水平是可感知的效果和期望之间的差异函数C、如果顾客不满意,就会产生抱怨,因此没有投诉,即可认为顾客满意D、顾客满意度是对顾客满意程度的定量化描述3. 以下不是组织的顾客是( )A、产品的购买者B、产品的最终使用者C、银行或供方D、批发零售商E、代理商4.顾客忠诚应是指()A.垄断性忠诚——行业垄断,不得不重复购买B习惯性忠诚——没时间注意其它,且消费价值不高C信赖性——真心喜欢,并有向他人推荐的意愿或行为D刺激性忠诚——各种促销活动唤起的购买意愿或购买行为5.在进行顾客满意度调查时,如果组织的产品或服务是通过其他商家交付给顾客的,那么()A.只需向中间销售商调查B只需调查最终客户C向中间销售商和最终用户进行同样调查D分别向中间销售商和最终用户进行调查6.关于顾客满意度调查()A.可采用互联网调查方式B必须是面对面的交谈方式C必须是书面的反馈信息 D必须是函件形式7.在与顾客的关系中,最佳的顾客关系是()关系A融为一体 B战略合作伙伴关系 C公共关系 D利润返还8.组织的产品和服务质量是由()来评价的A员工 B组织的领导 C顾客和市场 D合作伙伴 E股东二、判断对错题(共 18 分,每题2分)1.以顾客为导向追求卓越是一个稳定顾客、保持和拓展市场份额的战略性概念。
()2.组织的产品、服务质量是由顾客和市场来评价的。
()3.顾客的满意、喜爱、重复购买和向他人推荐,是顾客忠诚的具体表现。
()4.与顾客建立良好的关系,主要依靠公共关系和感情笼络()5.以顾客为导向追求卓越有“当前”和“未来”两种含义。
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2017学卓越内部学员测试(六年级组)
招生数学真卷
一、填空题。
(1-5题每题2分,第6-10题每题3分,共25分)
1.2016美国大选,全美大概有21300万人为合格选民,其中25%的选民都投给了唐纳德特朗
普,把题中表示合格选民的数改写成以“亿”为单位的数是。
2.参加冬令营的新初一学生在50-60人之间,已知女生人数是男生人数的,那么女生有
人,男生有人。
3.甲数是25,乙数是40,甲数占乙数的,乙数比甲数多 %。
4.将一个小数的小数点先往左移动两位,再向右移动三位,最后得到的新小数与原小数之差
6.3。
新数是。
5.在香港海洋公园的游乐场中,机动游戏区有一台约为60米的高的“跳楼机”。
参加的人被
安全固定在座椅上,跳楼机上升的平均速度约为米/秒,下降的平均速度
约为10米/秒,跳楼机来回的平均速度是米/秒。
6.如图所示,图中一共有三角形。
7.袋子里有4个白球,若干个红球和3个其他颜色的球。
从袋子里拿出一
个白球的可能性是,那么从中拿出一个红球的可能性是。
8.卓sir有一套价值120万元的房子,他将房子加价10%卖给客户A,过一段时间后,又从客
户A中以150万元买回,后因楼市政策有效,只能减价6%卖出,在整个买卖过程中,卓sir (填“赚”或“亏”)了万元。
9.在1、2、3…100这100个数中,找到这样的数m,使m既不与5互质,也不与6互质,这
样的数一共有个。
10.如右图,将图沿线折成一个立方体,则它的共顶点的三个面上的数字之积最大是。
二、选择题(每题2分,共12分)
11.如图,已知直角三角形的面积是30平方厘米,圆的面积是()平方厘米(π取3.14)
A.188.4 B.125.6 C.78.5 D.200.96
12.观察下列的钟表,找出规律,第五个钟表是()。
13.如果x&y=x2+2xy+y2(x、y不为0),则3&7=()。
A.9 B.58 C.100 D.90
14.把15:64的前项减去5,要使比值不变,后项应除以()。
A.B.3 C.D.
15.大概一千五百年前,我国古代数学名著《孙子算经》中记载了一道数学题——“鸡兔同笼”问题。
“今有雉兔同笼,上有三十五头,下有九十四足,问雉兔各几何?”亲爱的小伙伴,你知道正确答案吗?()。
A.22只兔子,13只鸡B.12只兔子,23只鸡
C.13只兔子,22只鸡D.23只兔子,12只鸡
16.如图,四根木棒按照图中的方式紧紧地绑了两圈,已知木棒的半径都是3分米,那么捆绑木棒的绳子至少要()分米(打结忽略不计)
A.6π+12
B.6π+24
C.2π+24
D.12π+48
三、计算题。
(每题4分,共24分)
17.= 。
18.= 。
19.2.7%×27+0.002×27+7= 。
20.…+
= 。
21.解方程:。
22.解方程:= , 。
四、应用题。
(第23-25每题5分,第26-29每题6分,30-31题每题10分,共59分)
23.工程队修一条公路,第一周修了全长的,第二周比第一周多修了5千米,还剩下9千米没修。
问:这条公路的全长是多少千米?(5分)
24.有一个时钟的时针长6厘米,该时针从中午12点到晚上20点,时针针尖共走过多少厘米?(π取3.14)(5分)
25.甲、乙合作完成一项工作,由于配合得好,甲、乙的工作效率比单独做时均提高了,甲、乙合作6小时完成了这项工作,如果甲独做需要12小时,求乙单独做需要几小时?(5分)
26.卓越教育新进一批熊本熊,第一周发出全部的40%,第二周发出的比全部的还少54个,这时已发出的数量与未发出的数量比是9:2,这批熊本熊共有多少个?(6分)
27.用40克浓度为8%的盐水配制浓度为20%的盐水,需要加入50克浓度为多少的盐水?(6分)
28.如图所示,卓越农场有一个用篱笆围成的长5米,宽4米的长方形羊圈,篱笆外围上端围绕着一圈铁皮固定(铁皮圈无缝连接),在铁皮圈上挂有一个可滑动的圆环,用一条长4米的绳子将一只羊系在圆环上,求这只羊在羊圈外的活动面积是多少?(π取3.14)(6分)
29.甲、乙两个长方体,底面积比是3:2,甲容器水深7厘米,乙容器水深3厘米,从甲容器倒出部分水放入乙容器,使得甲、乙容器的水深相等,请问这时的水深多少厘米?(6分)
30.卓小A盒大胖是好朋友,他们分别从甲、乙两地同时出发,相向而行。
出发时,大胖和卓小A的速度比是5:4,相遇后,大胖的速度提高,卓小A的速度提高,卓小A到达乙地立刻返回甲地,大胖到达甲地后立刻返回乙地。
他们在距第一次相遇地方的323米第二次相遇。
问:甲、乙两地之间的距离是多少米?(10分)
31.炒股是一个有风险的投资,需要足够的相关知识才能更好地踏入这个范围。
现在就让我们一起模拟炒股,感受炒股中的数学知识吧。
股票交易手续费是指投资者在委托买卖证券时应支付的各种税费及其他费用的总和。
通常包括印花税、佣金等几个方面的内容。
若某证券公司的收费如下:
①
②佣金:买卖都要收成交额的0.2%,其中每笔交易佣金不足5元的,按5元收;
③印花税:卖出时收成交额的0.1%。
(1)
(2)卓小A以每股5.00元的价格买入了“中国石化”1000股,若他想盈利不低于2000元才卖出,请你帮他计算卖出这个股票时,每股的价格至少是多少元?(得数保留两位小数)
(2)若卓小A以每股8元的价格买入“中国石油”1000股,后又以每股4元的价格买入“中国银行”500股,过一个月,卓小A卖出了全部股票,共亏损651.8元。
已知卖出时,“中国银行”每股下跌了40%。
那么卖出时“中国石油”每股上涨了还是下跌了?如果上涨,上涨了百分之几,如果下跌,下跌了百分之几?。