1、A. B. C.D.8. 等差数列的第二，三，六项顺次成等比数列，且该等差数列不是常数数列，则这个等比数列的公比为（ ）A.3 B.4 C.5 D.69. 一直角三角形边长成等比数列，且则（ ）A.三边长之比为3：4：5 B.三边长之比为C.较大锐角的余弦值为 D.10. 台风中心从A地以的速度向东偏北方向移动，离台风中心内的地区为危险区，城市B在A的正东处，B城市处于危险区内的时间为（ ）二、填空题（本大题共4小题，每小题5分，满分20分）. 11. 等比数列的各项均为正数,且则 .12. 已知是互异的正数，是的等差中项，是的正的等比中项， （, ）选填其中一个.13. 求和 .14. 三角
2、形的一边长为14，这条边所对的角为，另两边之比为8：5，则这个三角形的面积为 . 三、解答题（本大题共6小题，满分80分）解答须写出文字说明、证明过程和演算步骤.15（本题满分12分）已知数列是等比数列，且，求公比及. 16. （本题满分14分）在中，已知，是边上的一点，,，（1）求的大小；（2）求的长.17（本题满分14分）关于的不等式（1）当时解不等式；（2）, 解不等式.18. （本题满分12分）某文具店购进一批新型台灯，若按每盏台灯15元的价格销售. 每天能卖出30盏，若售价每提高1元，日销售量将减少2盏.（1）设这批台灯提价后每盏的销售价格定为，销售收入为，写出.（2）为了使这批台灯
3、每天获得400元以上的销售收入，问应如何制定这批台灯每盏的销售价格范围？19（本小题满分14分）已知是首项为19，公差为-2的等差数列，为的前项和.（1）求通项及；（2）设是首项为1，公比为3的等比数列，求数列的通项公式及其前项和.20（本小题满分14分）如图半圆的直径为2，点在直径的延长线上，且，点为半圆周上的任意一点，以为边作一个等边，问点在什么位置时，四边形的面积最大？并求出此时的四边形面积. 答案:DBACD BCACB11. 2 12. 13. 1538 14. 15.解:数列是等比数列设 .2分 5分17.解:（1）当时 2分 .4分不等式的解为 6分（2） 整理得: .10分 1
4、2分不等式的解为 14分18.解:（1）日销售收入=每盏台灯的价格日销售量依题意得: .6分（2） 依题意: .8分解得: 。10分且答: 为了使这批台灯每天获得400元以上的销售收入,应制定这批台灯每盏的销售价格在 。 .12分19 解:（1）因为是首项为的等差数列3分 .6分（2） 是首项为1，公比为3的等比数列 10分 .14分2019-2020年高二上学期期中联考（英语）高二级 英语命题单位：东升高中高二英语科组 语言知识及应用（共两节，满分45分）第一节 完形填空（共15小题；每小题2分满分30分）阅读下面短文，掌握其大意然后从115各题所给的A、B、C和D项中，选出最佳选项，并在答
5、题卡上将该项涂黑。Dad loved children. And he always wanted a _1_ family. Eventually, he got what he wanted with twelve children in the family. Without fail, he would show us off to visitors. Once, Dad _2_ presented the first three children in the family, Ann, Mary and Ernestine, to some visitors. Then he pic
6、ked up a fourth child, and said, And this is our _3_ model, plete with all the improvements. And dont think that this is all; we are _4_ the 1953 model some time next month. But what he _5_ most was taking us out for a drive. On one occasion a man in a village we were passing through shouted_6_ that
7、 he had seen eleven people in our car, not _7_ Mum and Dad. _8_, Dad called out over his shoulder, You _9_ the second baby up from the front here, Mister. Another time, Dad told us this joke, though we were not sure then whether he was telling us the _10_. Mum, who was a psychologist （心理学家）, once we
8、nt to give a lecture and left Dad in charge of the _11_. When Mum returned, she asked him if everything had been OK. He said everything was fine _12_ one of the children had been taught a lesson because he had been _13_. When he pointed at the child that had been _14_, Mum looked at him calmly and s
9、aid, Thats not one of ours, dear. He _15_ next door.1. A. rich B. lovely C. close D. large2. A. surprisingly B. nervously C. kindly D. proudly3. A. dearest B. smallest C. latest D. youngest4. A. ordering B. selling C. expecting D. improving5. A. hated B. enjoyed C. cared D. hoped6. A. crazily B. exc
10、itedly C. curiously D. directly7. A. counting B. naming C. showing D. reaching8. A. Immediately B. Carefully C. Angrily D. Easily9. A. saw B. missed C. forget D. left10. A. truth B. story C. adventure D. accident11. A. lecture B. house C. office D. activity12. A. even if B. apart from C. so that D.
11、except that13. A. troublesome B. careless C. active D. quiet14. A. found B. caught C. punished D. wounded15. A. goes to B. belongs to C. works D. plays 第二节 语法填空（共10小题；每小题l 5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，在空格处填入一个适当的词或使用括号中词语的正确形式填空，并将答案填写在答题卡标号为1625的相应位置上。 We must have water to live. _ 16_ the w
12、ater we use is clean and fresh, it will make us ill. The animals _ 17_ （live） in and around lakes and rivers must also have clean water. Our rivers and lakes supply most of our water. The clear, blue water found by the first American settlers has changed. Many of our water sources are now _ 18_（dirt
13、）. They are filled _ 19_ dirt and waste which cannot be cleaned out. In many places, water is not safe for us to use. Lake Erie was _ 20_ a beautiful lake. Now it has been called “a dying lake”. Waste from nearby homes and factories has been dumped into _ 21_. Fish can no longer live in much of its
14、polluted water. George Washington once called the Potomac “_ 22_ finest river in the world”. Now its water is no longer blue. Instead, it is soupy green. Suds（肥皂泡沫）, from detergents（洗涤剂；洗衣粉） used to wash clothes, often cover the water of our rivers.Water cannot be _23_ （make） in a factory. Once wate
15、r is polluted, it is _ 24_ to make it clean and safe again. We must learn to take care of the water _ 25_ we now have.阅读（共两节，满分40分）第节 阅读理解（共15小题；每小题2分，满分30分）阅读下列短文，从2645 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。 ASince 1989, Dave Thomas, who died at age 69, was one of the most recognizable faces on TV. He a
16、ppeared in more than 800 mercials （商业广告） for the hamburger chain named for his daughter. “As long as it works, he said in 1991, “Ill continue to do those mercials.Even though he was successful, Thomas remained troubled by his childhood. “He still wont let anyone see his feet, which are out of shape
17、because he never had proper fitting shoes, Wendy said in 1993. Born to a single mother, he was adopted（收养） as a baby by Rex and Auleva Thomas of Kalamazoo in Michigan. After Auleva died when he was 5, Thomas spent years on the road as Rex traveled around seeking construction work. “He fed me, Thomas
18、 said, “and if I gout of line, hed beat me.Moving out on his own at 15, Thomas worked, first as a waiter, in many restaurants. But he had something much better in mind. “I thought if I owned a restaurant, he said, “I could eat for free. A 1956 meeting with Harland Sanders led Thomas to a career as t
19、he manager of a Kentucky Fried Chicken restaurant that made him a millionaire in 1968.In 1969, after breaking with Sanders, Thomas started the first Wendys Old Fashioned Hamburgers, in Columbus, Ohio, which set itself apart by serving made to order burgers. With 6,000 restaurants worldwide, the chai
20、n now makes $ 6 billion a year in sales.Although troubled by his own experience with adoption, Thomas, married since 1954 to Lorraine, 66, and with four grown kids besides Wendy, felt it could offer a future for other children. He started the Dave Thomas Foundation （基金会） for Adoption in 1992. In 199
21、3, Thomas, who had left school at 15, graduated from Coconut Creek High School in Florida. He even took Lorraine to the graduation dance party. The kids voted him Most Likely to Succeed.“The Dave you saw on TV was the real Dave, says friend Pat Williams. “He wasnt a great actor or a great speaker. H
22、e was just Joe Everybody.26. What is the article mainly about?A. The life of Dave Thomas. B. The dream of Dave Thomas.C. The schooling of Dave Thomas. D. The growth of Dave Thomass business.27. What do we know about his childhood?A. He lived a poor life. B. He had caring parents.C. He stayed in one
23、place. D. He didnt go to school.28. Choose the right time order of the following events in Thomass life.a. graduated from high school b. started his own businessc. became a millionaire d. started a foundation e. met Harland SandersA. e，b，c，d，a， B. a，e，c，b，d， C. e，c，b，d，a， D. a，e，b，c，d, 29. “He was j
24、ust Joe Everybody. （in the last paragraph） means _.A. Dave was famous B. Dave was ordinaryC. Dave was showy D. Dave was shy 30. What is the name of Dave Thomass business?A. Thomass. B. Wendys. C. Lorraines. D. Rexs. BLondon has more than nine million visitors every year. They e and visit some of the
25、 most famous places in England: Big Ben, the Tower of London and the River Thames. You can see some of the most interesting places in London by getting on the tour buses. Or you can take a ride on the London Eye. This large wheel slowly takes you 135m above the River Thames. The River Thames is Lond
26、ons main waterway. It has shaped the capitals landscape, history and geography. So one of the best ways of knowing more about the city is to take a trip along the river. The clock tower of the Houses of Parliament, Big Ben, has bee one of the main symbols of London. The sound of the bell, which you
27、can hear at the beginning of many television and radio programmes, has bee well-known throughout the nation. No visit to London is plete without a look at the Tower of London, in the eastern part of the city. After Big Ben, the Tower may be Londons most visited tourist spot. Directly south is Tower
28、Bridge, which is more than100 years old. Along all the palaces in London, Buckingham Palace is the most famous. It has been the main London home of the royal family since Queen Victoria moved there in 1873. You can visit some of the rooms in August and September. And most mornings of the year you ca
29、n watch the soldiers outside changing the guard. About one hour by train out of London is the Tower of Windsor. Here you can visit another of the Queens homes-Windsor Castle. There was a fire in 1992 and many of the rooms were badly burned. But now they are full of beautiful pictures, tables and chairs again. Sightseeing in London is great, but it can get very tiring. So, the best way to start the day is to fill up with an English breakfast.You can buy an English breakfast in nearly every hot
