华师导航教育港澳台联考周考三
港澳台华侨生联考试题：数学基础练习30套：第22套：三角函数基础(含答案)
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2021年华师附属高级中学高三英语第三次联考试卷及参考答案
2021年华师附属高级中学高三英语第三次联考试卷及参考答案第一部分阅读（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A、B、C、D四个选项中选出最佳选项AFour Truly Unique Canadian Camping ExperiencesMount Robson Provincial Park,British ColumbiaNamed after the highest mountain in the Canadian Rockies, this park gives you breathtaking views of mountain landscapes along with lakes, waterfalls, canyons, and caves. The Berg Lake campground is located right at the northern base of the 3, 954-meter peak (山巅), which is about a day's hike in.Fundy National Park,New BrunswickIf you've grown tired of the tent or RV, this park is one of the few national parks offering yurt (蒙古包) rentals. Make sure you visit theBay of Fundywhere the world's highest tides make for some great surfing. You also can't miss the amazing Acadian forest waterfall. If you're looking for even more entertainment, the park also hostsmusic and cultural festivals each summer and has its own golf course.KluaneNational Parkand ReserveYukonFrom May to September, theKathleenLakecampground sees visitors come from far and wide to camp, hike and fish. Mountaineering is especially popular as Kluane is home to 17 of Canada's 20 highest peaks. Flightseeing over the park's glaciers and rafting (漂流) the winding Alsek River will also keep you out enjoying the wilderness.Prince Edward Island National Park,Prince Edward IslandIf you're looking for a family-friendly park, this one is wonderful. Between the seven beaches and more than 50 kilometersof hiking and cycling trails, you'll certainly be kept busy. Literature lovers, you can see what inspired L.M. Montgomery'sAnne of Green Gables at the nearby Green Gables Heritage Place and even explore the original house.1. Where is the park offering yurt rentals located?A. InBritish Columbia.B. InNew Brunswick.C. InYukon.D. InPrince Edward Island.2. What can you do inKluaneNational Parkand Reserve?A. Climb the highest mountain inCanada.B. Experience the highest tides.C. Raft the windingAlsekRiver.D. Attend music and cultural festivals.3. Which will you choose if you are a fan of Anne of Green Gables?A.Mount RobsonProvincialPark.B. Fundy National Park.C.KluaneNational Parkand Reserve.D.Prince Edward IslandNational Park.BIsraeli Paintings—Israeli artist Menashe Kadishman will hold a personal show named "Flock of Sheep" from November 26 to December 20 at the China National Art Museum On show are 550 colourful oil paintings of sheep heads.His works have been on show inthe Metropolitan Museum in New York and Tate Gallery in London over the past 30 years.Time: 9: 00 a.m.—4: 00 p.m., November 26—December 20.Place: China National Art Museum, 1 Wusi Dajie, Dongcheng District, Beijing.Tel: 6401-2252Russian Ballet—The Kremlin Ballet from Russia will perform two immortal classical ballets—"Swan Lake" and "The Nutcracker"—at the Beijing Beizhan Theatre. Set up in 1990, the theatre has a number of first-class ballet dancers. Most of their performances are classical.Time: 7: 15 p.m., December 5 and 6 ("Swan Lake"); 7: 15 p.m., December 7 ("The Nutcracker")Place: Beizhan Theatre, Xiwai Dajie, Xicheng District, Beijing.Tel: 6605-3388Folk Concert—The Central Conservatory of Music will hold a folk concert in memory of the late musician Situ Huacheng.On the programme are many popular folks such as "Moon Night on the Bamboo Tower", "Celebrating Harvest", "Deep and Lasting Friendship", "Golden Snake Dances Wildly" and "Children's Holiday".Time: 7: 30 p.m., November 25.Place: Beijing Concert Hall, 1 Beixinhuajie, Xicheng District, Beijing.Tel: 6605-58124.If a child is very fond of dancing, his parents should take him to ________.A.China National Art MuseumB.Beizhan TheatreC.Beijing Concert HallD.1 Wusi Dajie5.Menashe Kadishman is well known for painting ________.A.deerB.birdsC.sheepD.flowers6.Which of the following is TRUE?A.The folk concert will last three days.B.The ballet "The Nutcracker" will be put on once.C.The Israeli paintings will be on show for a month.D.China National Art Museum lies in Xicheng District.7.If you dial the telephone number 6605-3388 on Dec. 8, you can ________.A.go to the folk concertB.visit the Art MuseumC.watch the balletD.none of the aboveCI cried the first time I saw the Notre Dame（巴黎圣母院）years ago. I'd waited my entire life to see this great French architecture, and experienced it in its full glory on a bright sunny day. Last night, I again cried for the centuries-old church while watching it burn.I hadn't expected to spend my evening that way. My friend and I were having dinner at a cafe a block or so away from the Notre Dame, choosing to skip going inside with the intention to go back the next day.However, we heard that it caught fire, so we left the cafe and ran towards the church, following heavy smoke from it, and soon we joined a nearly silent crowd. Some were praying, some were crying, but most were staring in disbelief at the disaster happening before us. The fire continued to get worse. About 400 firefighters were working to control the fire. We could see their flashlights shining as they inspected the front from a balcony.The Notre Dame is part of the heartbeat ofParis, I reflected on the experiences I've had there, from attending a bread market out front to admiring the beautiful windows and architecture inside. It is a spot that helps makeParismagical. And here we were, watching it burn down. It was too much to handle, but it was impossible to look away.About 9：30 pm, the gathered crowd spontaneously（自发地）began to sing Hymns（圣歌）to the church. We sang along with the group, feeling at once less like tourists and more like members of them. I hadn't imagined all that before.For hundreds of years, the Notre Dame hasseen the most joyous and the most terrible moments in the lives of both France and her people. And when everyone was able to become one emotional force, it showed that even in her darkest hour, the Notre Dame was still there to bring us all together.8. Why did the author cry for the Notre Dame for the first time?A. She was touched by its greatness.B. She was sorrowful to watch it burn.C. She was regretful for missing its glory.D. She was excited about French cultures.9. What was the author doing when the Notre Dame caught fire?A. Heading for a faraway cafe.B. Visiting a church with a friend.C. Eating nearby with a friend.D. Wandering along the street alone.10. What can we know about the fire scene?A. People expressed their sadness in different ways.B. People were nervously rushing in different directions.C. Hundreds of volunteers joined in putting out the fire.D. Firefighters kept people away with shining flashlights.11. What impressed the author most?A. The church allowed visitors to gaingreat experiences.B. Many foreign tourists became members of the church.C. The church survived disasters for hundreds of years.D. People were brought together to sing to the church.DAmerica---that glorious symbol of multiculturalism, the great melting pot---qualifies as part of the developed world, right? Not quite, if we consider the state of second language learning in schools across the country. According to a 2018 study, Europe often tops the U.S. in foreign language education in school. 92% of European students are learning a foreign language in school. In America it’s only 20%. In more than 20 European countries, studying a foreign language for at least one year is compulsory. In comparison, only 10 states and D.C. require learning a foreign language for graduation.I went to a public school in Pennsylvania that ranked onNewsweek’s list of America’s top high schools in 2015. Foreign language learning was not a graduation requirement. A common response to such stories and statistics is: So what? Why should Americans care about learning another language when English has recently seemed to dominate as the official language of the world?The world is globalizing faster than we can imagine. More than half of the world’s population speaks more than one language. It is also increasingly becoming the need for success in this globalizing world. Having the ability to speak a second language opens up the possibility of travelling and immersing yourself in another part of the world. This means people can feel other cultures, and traditions in places you were previously kept away because you could not communicate in the language.The teaching of foreign languages can be instrumental in bringing about peace and unity in the country we live in. Learning a second language can be an efficient vehicle to help to bridge communities. To speak another language means having access to a universe of different experiences and world views of another community of people.12. Why does the writer mention Europe?A. America makes studying a foreign language compulsory.B. America is the glorious symbol of multiculturalism.C. America isn’t really qualified as the developed world.D. America doesn’t focus on foreign language education13. What is American’s attitude towards education of foreign languages?A. Less concerned.B. More worried.C. Quite doubtful.D. Very supportive.14. What can visiting people do if they can speak the language where they visit?A. Make the world globalizing.B. Achieve success in business.C. Experience people’s real life there.D. Keep away their own culture.15. What is the main idea of the last paragraph?A. Using a second language can bring harmony.B. Communities of people enjoy the great views.C. Speaking another language is reallynecessary.D. Learning a second language can be difficult.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
港澳台联招辅导班考前综合试题：数学3含答案
1 2 3 2 n n 1 3. 设 n N ,则 C n Cn 6 Cn 6 Cn 6
4. 函数 f ( x) sin x 2 | sin x |, x 0,2 的图象与直线 y k 有且仅有两个不同的交点，则 k 的取值范 围是__________。 1 k 3 5. PA⊥平面 ABC，∠ACB=90°且 PA=AC=BC=a，则异面直线 PB 与 AC 所成角的正切值等于 2 ．
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由此得 cos B
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广东省华南师范大学附属中学2021届高三数学月考试题(三)理(含解析).doc
广东省华南师范大学附属中学2021届高三数学月考试题（三）理（含解析）本试卷分选择题和非选择题两部分，共4页，满分150分，考试用时120分钟. 注意事项：1.本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分.答卷前，考生务必将自己的姓名和考生号、试室号、座位号等填写在答题卡上，并用2B 铅笔在答题卡上的相应位置填涂考生号.2.回答第Ⅰ卷时，选出每小题答案后，用2B 铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，再选涂其它答案标号.3.回答第Ⅱ卷时，用黑色钢笔或签字笔将答案写在答卷上.第Ⅰ卷一、选择题：本大题共12小题，每小题5分，共60分.每小题给出的四个选项中，只有一项符合题目要求.1.已知复数14z i =-，24z i =+，则12z z i等于（ ） A. 15i B. 15i -C. 17iD. 17i -【答案】D 【解析】 【分析】根据复数乘法和除法运算法则可求得结果. 【详解】()()12441717i i z z i i i i-+===- 故选：D【点睛】本题考查复数的乘法和除法混合运算，属于基础题. 2.设集合A ={5，ba，a -b }，B ={b ，a +b ，-1}，若A ∩B ={2，-1}，则A ∪B =（ ） A. {}2,3B. {1,-2，5}C. {2,3，5}D. {1,-2，3，5}【答案】D【解析】 【分析】根据A∩B＝{2，－1}，得21b a a b ⎧=⎪⎨⎪-=-⎩或12ba ab ⎧=-⎪⎨⎪-=⎩，求得a b 、代入集合B 中检验，即可求得结果. 【详解】A∩B＝{2，－1}，{}5,2,1A ∴=-，21b a a b ⎧=⎪⎨⎪-=-⎩或12b a a b ⎧=-⎪⎨⎪-=⎩，解得12a b =⎧⎨=⎩或11a b =⎧⎨=-⎩（1）当12a b ==，时，{}2,3,1B =-满足题意，{}1,2,3,5A B ⋃=- （2）当11a b ==-，时，{}1,0,1B =--不满足集合元素的特征，舍去 综上{}1,2,3,5A B ⋃=- 故选D.【点睛】本题考查集合中元素的特征，根据题意由其中一个集合条件解出未知数，代入另一个集合检验是常用的解题思路，考查了分类讨论思想，属于基础题.3.设平面α与平面β相交于直线m ，直线a 在平面α内，直线b 在平面β内，且b m ⊥，则“a b ⊥”是“αβ⊥”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【答案】B 【解析】试题分析：因为直线a 在平面α内，直线b 在平面β内，且b l ⊥，若αβ⊥，根据面面垂直的性质定理，,b α⊥一定有b a ⊥；反之，当b a ⊥，若a l 时，αβ⊥不一定成立，所以“a b ⊥”是“αβ⊥”的必要不充分条件，故选B. 考点：1、充分条件与必要条件；2、面面垂直的判定与性质. 4.若110a b<<，则下列四个不等式恒成立的是（ ）A. ||||a b >B. a b <C. 33a b <D.a b ab +<【答案】D 【解析】 【分析】由不等式可得0b a <<，依次验证各个选项可得结果. 【详解】110a b<< 0b a ∴<< a b ∴<，a b <，33b a <，可知,,A B C 错误；0ab >，0a b +< a b ab ∴+<，D 正确.故选：D【点睛】本题考查根据不等式的性质比较大小的问题，属于基础题.5.过抛物线22y x =的焦点作一条直线与抛物线交于,A B 两点，它们的横坐标之和等于1，则这样的直线（ ） A. 有且仅有零条 B. 有且仅有一条C. 有且仅有两条D. 有且仅有四条 【答案】B 【解析】 【分析】根据AB 与抛物线的通径长相等可确定这样的直线有且仅有一条. 【详解】由抛物线方程知其通径长为：22p =由抛物线焦点弦公式可知：12112AB x x p =++=+=，与通径长相等∴这样的直线有且仅有一条故选：B【点睛】本题考查抛物线中焦点弦的相关问题，涉及到抛物线焦点弦长的求解，需明确焦点弦中最短的为通径.6.如图，在三棱锥O ABC -中，1OA OB OC ===，90AOB ︒∠=，OC ⊥平面AOB ，D 为AB 中点，则OD 与平面OBC 所成的角为（ ）A.4π B.3π C.2π D.34π 【答案】A 【解析】 【分析】取OB 中点E ，由线面垂直性质可得DE OC ⊥，由三角形中位线性质可得DE OB ⊥，从而根据线面垂直判定定理证得DE ⊥平面OBC ，由线面角定义可知DOE ∠为所求角；利用等腰三角形性质可求得结果.【详解】取OB 中点E ，连接DEOC ⊥平面OAB ，DF ⊂平面OAB DE OC ∴⊥,D E 分别为,AB OB 中点 //DE OA ∴，又AOB 90∠= DE OB ∴⊥,OB OC ⊂平面OBC ，OB OC O = DE ∴⊥平面OBCDOE ∴∠即为OD 与平面OBC 所成角OA OB =，D 为AB 中点 1452DOE AOB ∴∠=∠=，即4π OD ∴与平面OBC 所成角为4π故选：A【点睛】本题考查直线与平面所成角的求解问题，关键是能够结合线面垂直性质与判定定理、三角形中位线的性质，在图形中找到垂直关系，从而确定直线与平面所成角. 7.函数sin sin 122xxy =+的部分图象大致是（ ）A. B.C. D.【答案】D 【解析】 因为()sin()sin sin()sin 11()2222x x x xf x y f x ---=+==+=，所以函数sin sin 122xxy =+是定义在R 上的偶函数，排除A 、B 项；又sin2sin2115()222222f πππ=+=+=，排除C ，综上，函数sin sin 122xxy =+大致的图象应为D 项，故选D.8.若f(x)=21ln(2)2x b x -++∞在(-1,+)上是减函数，则b 的取值范围是( ) A. [-1，+∞] B. （-1，+∞）C. （-∞，-1]D. （-∞，-1）【答案】C 【解析】由题意可知()02bf x x x +'=-<+，在(1,)x ∈-+∞上恒成立，即(2)b x x <+在(1,)x ∈-+∞上恒成立，由于1x ≠-，所以1b ≤-，故Ｃ为正确答案．9.已知,αβ为锐角，11sin(2),cos 53αββ+==，则sin()αβ+的值为（ ）【答案】D 【解析】 【分析】 根据cos cos3πβ<可得到32ππβ<<，从而确定23232ππαβ<+<，由同角三角函数可求解出sin β和()cos 2αβ+，利用两角和差正弦公式可求得结果.【详解】11cos cos 323πβ=<=且β锐角 32ππβ∴<<sin β∴=又02πα<<23232ππαβ∴<+<，又()1sin 25αβ+= ()cos 25αβ∴+=-()()()()sin sin 2sin 2cos cos 2sin αβαββαββαββ∴+=+-=+-+⎡⎤⎣⎦111535315⎛⎫+=⨯--⨯= ⎪ ⎪⎝⎭ 故选：D【点睛】本题考查利用两角和差正弦公式求解三角函数值的问题，关键是能将所求角利用已知角配凑出来，进而利用公式进行求解；易错点是在求解同角三角函数值时，未将角的范围确定准确，造成三角函数值的符号求解错误.10.在ABC ∆中，内角A ，B ，C 所对的边分别为a ，b ，c ，若sin 1sin 2B C =，22(3)cos a b C CA CB -=⋅，则角C =（ ）A.6π B.3π C.2π或6π D.3π或2π 【答案】D 【解析】分析：由正弦定理得12b c =，即2c b =，又由22(3)cos a b C CA CB -=⋅，得22(3)cos cos a b C ab C -=，所以cos 0C =或223a b ab -=，分类讨论即可求解C 角的大小.详解：因为sin 1sin 2B C =，由正弦定理得12b c =，即2c b =， 由22(3)cos a b C CA CB -=⋅，得22(3)cos cos a b C ab C -=， 所以cos 0C =或223a b ab -=， 当cos 0C =时，2C π=；当223a b ab -=时，由余弦定理得222222222222(2)31cos 22(3)2(3)2a b c a b b a b C ab a b a b +-+--====--，所以3C π=， 综上所述：2C π=或3C π=.点睛：本题主要考查了利用正弦定理和三角函数的恒等变换求解三角形问题，对于解三角形问题，通常利用正弦定理进行“边转角”寻求角的关系，利用“角转边”寻求边的关系，利用余弦定理借助三边关系求角，利用两角和差公式及二倍角公式求三角函数值. 利用正、余弦定理解三角形问题是高考高频考点，经常利用三角形内角和定理，三角形面积公式，结合正、余弦定理解题.11.如图所示，已知EAB ∆所在的平面与矩形ABCD 所在的平面互相垂直，3,2,60EA EB AD AEB ︒===∠=，则多面体E ABCD -的外接球的表面积为（ ）A.163πB. 8πC. 16πD. 64π【答案】C 【解析】 【分析】取AB 中点F ，由等腰三角形三线合一和面面垂直的性质可确定EF ⊥平面ABCD ，取,AC BD 交点G ，可知球心O 与G 的连线OG ⊥平面ABCD ；作//OM FG ，假设OG MF x ==，分别在Rt EOM ∆和Rt OGB ∆中利用勾股定理可构造关于x 和球的半径R的方程组，解方程组求得R ，代入球的表面积公式即可求得结果.【详解】取AB 中点F ，连接EF ；连接,AC BD ，交于点G ，连接FG ； 设O 为E ABCD -外接球球心，连接OG ，过O 作//OM FG ，交EF 于点M四边形ABCD 为矩形 G ∴为四边形ABCD 的外接圆圆心 由球的性质可知：OG ⊥平面ABCDEA EB =，F AB 中点 EF AB ∴⊥平面EAB ⊥平面ABCD ，平面EAB ⋂平面ABCD AB = EF ∴⊥平面ABCD//OG EF ∴，又//OM FG ∴四边形OMFG 为平行四边形 112OM FG AD ∴===，OG MF = 60AEB ∠=，EA EB = EAB ∴∆为等边三角形 3AB ∴=又933942EF =-=，11139422BG BD ==+= 设OG MF x ==，E ABCD -外接球半径为R则222222331132x R x R ⎧⎫⎪-+=⎪⎪⎪⎪⎝⎭⎨⎛⎫⎪+= ⎪⎪ ⎪⎪⎝⎭⎩，解得：24R = ∴多面体E ABCD -的外接球的表面积2416S R ππ==故选：C【点睛】本题考查棱锥外接球表面积的求解问题，关键是能够根据垂直关系以及球的性质确定球心的位置，通过直角三角形勾股定理来构造出关于球的半径的方程，解方程求得球的半径，进而求得结果.12.正项数列{}n a 的前n 项和为n S ，且()2*2n n n S a a n N =+∈，设()2112nn n na c s +=-，则数列{}n c 的前2021项的和为（ ） A. 20192020-B. 20202019-C. 20202021-D. 20212020-【答案】C 【解析】 【分析】先根据和项与通项关系得11n n a a --=，再根据等差数列定义与通项公式、求和公式得,n n a S ，代入化简n c ，最后利用分组求和法求结果. 【详解】因为()2*2,0n n n nS a a n Na=+∈>，所以当1n =时，21112a a a =+，解得11a =，当2n ≥时，()()2211122n n n n n n n a S S a a a a ---=-=+-+，所以 ()()1110n n n n a a a a --+--=， 因0n a >，所以11n n a a --=，所以数列{}n a 是等差数列，公差为1，首项为1， 所以()()111,2n n n n a n n S +=+-==， 所以()()()2121111112(1)1nn n n n n a n c s n n n n ++⎛⎫=-=-=-+ ⎪++⎝⎭， 则数列{}n c 的前2021项的和11111111202011223342020202120212021⎛⎫⎛⎫⎛⎫⎛⎫=-+++-++++=-+=- ⎪ ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭⎝⎭. 故选：C【点睛】本题考查根据和项求通项、等差数列定义、等差数列通项公式与求和公式以及分组求和法，考查基本分析求解能力，属中档题.第Ⅱ卷二、填空题（每小题5分，满分20分）13.己知函数23()21x x a f x ⋅+=-在定义域内为奇函数，则实数a=_______．【答案】3 【解析】 【分析】由题得f(-x)+f(x)=0,由此化简求出a 的值.【详解】由题得f(-x)+f(x)=0,所以323232320,0,121212112xxx x xx x x a a a a --+⋅+⋅+⋅++=∴+=---- 322332230,0122121x x x x x x x a a a a +⋅⋅+--⋅+⋅+∴+=∴=---，32230,2(3)(3)0,x x x a a a a ∴--⋅+⋅+=∴---= (21)(3)0,3x a a ∴--=∴=.故答案为3【点睛】本题主要考查奇偶性的性质和指数的运算，意在考查学生对这些知识的掌握水平和分析推理计算能力.14.等差数列{}n a 的前n 项和为n S ，918S =-，1352S =-，等比数列{}n b 中，55b a =，77b a =，则15b 的值为___________.【答案】64-. 【解析】 【分析】根据等差数列前n 项和公式，利用1a 和d 表示出913,S S ，解方程组可求得1a 和d ，由等差数列通项公式求得57,a a ，即57,b b ，进而求得等比数列的2q ，根据等比数列通项公式可求得结果.【详解】设等差数列{}n a 公差为d则91113119899361821312131378522S a d a d S a d a d ⨯⎧=+=+=-⎪⎪⎨⨯⎪=+=+=-⎪⎩，解得：121a d =⎧⎨=-⎩5514242b a a d ∴==+=-=-，77164b a a d ==+=-设等比数列{}n b 公比为q ，则2752b q b == 841574264b b q ∴==-⨯=- 故答案为：64-【点睛】本题考查等差和等比数列的综合应用问题，涉及到等差数列和等比数列的通项公式、等差数列前n 项和公式的应用，属于基础公式的应用问题.15.已知过点()2,2P 的直线与圆()2215x y -+=相切，且与直线10ax y -+=垂直，则a =__________．【答案】2 【解析】设切线为0x ay m ++=，因为过()2,2P ，故22m a =--，所以切线为220x ay a +--=，又圆心到它的距离为d r ===2a =，故填2．16.若关于x 的方程2||2x kx x =+恰有四个不同的实根，则实数k 的取值范围是________. 【答案】(1,)+∞. 【解析】 【分析】将所给方程有四个不同的实根转化为函数1y k =的图象和函数()()()2,02,0x x x g x x x x ⎧+>⎪=⎨-+<⎪⎩的图象有3个交点，通过数形结合的方式来确定1k的范围，进而求得结果. 【详解】关于x 的方程22x kx x =+有四个不同的实根，且0x =是此方程的一个根∴关于x 的方程12k x x =+有3个不同的非零的实数解∴方程()()2,012,0x x x x x x k ⎧+>⎪=⎨-+<⎪⎩有3个不同的非零的实数解，即函数1y k =的图象和函数()()()2,02,0x x x g x x x x ⎧+>⎪=⎨-+<⎪⎩的图象有3个交点画出函数()g x 图象，如图所示：∴当101k <<，即1k >时，函数1y k =和函数()()()2,02,0x x x g x x x x ⎧+>⎪=⎨-+<⎪⎩有3个交点即当()1,k ∈+∞时，方程22x kx x =+恰有四个不同的实根故答案为：()1,+∞【点睛】本题考查根据方程根的个数求解参数范围的问题，关键是能够将问题转化为两函数的交点个数的问题，通过数形结合的方式，结合函数图象可确定参数的取值范围.三、解答题：共70分.解答应写出文字说明、证明过程或演算步骤.第17-21题为必考题，每个试题考生都须作答.第22、23题为选考题，考生根据要求作答. （一）必考题：共60分. 17.若向量()3sin ,sin a x x ωω=，()cos ,sin b x x ωω=，其中0>ω，记函数()12f x a b =⋅-，若函数()f x 216π+. （I ）求()f x 的表达式；（II ）设ABC ∆三内角,,A B C 的对应边分别为,,a b c ，若3a b +=，3c =，()1f C =，求ABC ∆的面积.【答案】（Ⅰ）()sin 26f x x π⎛⎫=-⎪⎝⎭；3【解析】 【分析】（I ）利用平面向量数量积运算、二倍角和辅助角公式将函数化为()sin 26f x x πω⎛⎫=-⎪⎝⎭，根据两相邻极值点之间距离可构造方程求得函数的最小正周期，由此可求得ω，进而得到函数解析式；（II ）根据C 的范围和()1f C =可求得3C π=，利用余弦定理可构造方程求得ab ，代入三角形面积公式即可求得结果. 【详解】（I ）()211cos sin sin 2cos 2sin 22226f x x x x x x x πωωωωωω⎛⎫=+-=-=- ⎪⎝⎭()f x 相邻两个极值点之间距离为2，即2=T π∴=，即22ππω=，解得：1ω= ()sin 26f x x π⎛⎫∴=- ⎪⎝⎭（II ）由()1f C =得：sin 216C π⎛⎫-= ⎪⎝⎭ 0C π<< 112666C πππ∴-<-< 262C ππ∴-=，解得：3C π=3a b +=，c =2222cos3c a b ab π=+-()233a b ab +-=∴，即：2ab =ABC ∆∴的面积1sin 22S ab C ==【点睛】本题考查三角函数和解三角形的综合应用问题，涉及到平面向量数量积运算、利用二倍角和辅助角公式化简三角函数、正弦型函数周期性的应用、余弦定理和三角形面积公式的应用等知识，属于常考题型.18.如图，在三棱锥P ABC -中，平面PAB ⊥平面ABC ，AP BP ⊥，AC BC ⊥，60PAB ∠=，45ABC ∠=，D 是AB 中点，,E F 分别为,PD PC 的中点.（Ⅰ）求二面角B PA C --的余弦值；（Ⅱ）在棱PB 上是否存在点M ，使得//CM 平面AEF ？若存在，求PMPB的值；若不存在，说明理由. 【答案】（Ⅰ）217；（Ⅱ）存在，23.【解析】 【分析】（Ⅰ）取AD 中点O ，连接PO ，根据直角三角形性质和等腰三角形三线合一可证得PO AB ⊥，由面面垂直性质知PO ⊥平面ABC ；作//OG CD ，由等腰三角形三线合一和平行关系可知OG AB ⊥，从而可得到,,PO OG AB 两两互相垂直，可建立起空间直角坐标系；利用二面角的向量求法可求得结果；（Ⅱ）设PM PB λ=，可表示出M 坐标；根据线面垂直的判定定理可证得PD ⊥平面AEF ，进而得到平面AEF 的法向量PD ，若线面平行关系成立，则0CM PD ⋅=，由此构造方程可求得λ，进而求得结果.【详解】（Ⅰ）在PAB ∆中，取AD 中点O ，连接POAP BP ⊥，D 为AB 中点 PD AD ∴=又60PAB ∠= PAD ∴∆为等边三角形 PO AB ∴⊥ 在平面ABC 中，过O 作CD 的平行线，交AC 于GAC BC ⊥，45ABC ∠= AC BC ∴=，又D 为AB 中点 CD AB ∴⊥又//OG CD OG AB ∴⊥平面PAB ⊥平面ABC ，平面PAB ⋂平面ABC AB =，PO ⊂平面PABPO ∴⊥平面ABC ，又OG ⊂平面ABC PO OG ∴⊥,,OG OB OP 两两垂直，如图可建立空间直角坐标系O xyz -设4AB a =，则()0,,0A a -，()0,3,0B a ，()2,,0C a a ，()3P a ，()0,,0D a ，30,,22a E a ⎛⎫ ⎪ ⎪⎝⎭，3,,22a F a a ⎛⎫ ⎪ ⎪⎝⎭则()2,2,0AC a a =，()0,,3PA a a =-- 设平面PAC 的法向量(),,n x y z =则00n AC n PA ⎧⋅=⎨⋅=⎩，即030x y y z +=⎧⎪⎨+=⎪⎩，令1z =，则3y =3x ()3,3,1n ∴=-又平面PAB 的一个法向量为()2,0,0DC a =2321cos ,72n DC a n DC an DC⋅∴===⨯⋅二面角B PA C --为锐二面角 ∴二面角B PA C --的余弦值为217（Ⅱ）设M 是棱PB 上一点，则存在[]0,1λ∈使得：PM PB λ=∴点()()0,331M a a λλ-，则()()()2,3131CM a a a λλ=---由（Ⅰ）知：CD ⊥平面PAB CD PD ∴⊥ //EF CD EF PD ∴⊥又PAD ∆为等边三角形，E 为PD 中点 AE PD ∴⊥,EF AE ⊂平面AEF ，EF AE E = PD ∴⊥平面AEF∴平面AEF 的一个法向量为()0,,3PD a a =-CM ⊄平面AEF //CM ∴平面AEF 当且仅当0CM PD ⋅=时成立即()()()()()()222,31,310,,331310a a a a a a a λλλλ---⋅-=---=解得：23λ=∴在棱PB 上存在点M ，使得//CM 平面AEF ，此时23PM PB λ== 【点睛】本题考查空间向量法在立体几何中的应用问题，涉及到二面角的求解、存在性问题的求解；求解存在性问题的关键是能够通过共线向量将未知数减少为一个，进而根据线面平行关系可确定所证向量与平面法向量垂直，由此构造方程求得结果.19.人耳的听力情况可以用电子测听器检测，正常人听力的等级为025db -（分贝），并规定测试值在区间(0,5]为非常优秀，测试值在区间(5,10]为优秀，某班50名同学都进行了听力测试，所得测试值制成频率分布直方图：（Ⅰ）现从听力等级为(0,10]的同学中任意抽取出4人，记听力非常优秀的同学人数为X ，求X 的分布列与数学期望：（Ⅱ）现选出一名同学参加另一项测试，测试规则如下：四个音叉的发生情况不同，由强到弱的次序分别为1，2，3，4.测试前将音叉随机排列，被测试的同学依次听完后给四个音叉按发音的强弱标出一组序号1234,,,a a a a （其中1234,,,a a a a 为1，2，3，4的一个排列），记12341234Y a a a a =-+-+-+-，可用Y 描述两次排序的偏离程度，求2Y ≤的概率.【答案】（Ⅰ）分布列见解析，1.6；（Ⅱ）16.【解析】 【分析】（Ⅰ）根据频率分布直方图可得到听力等级分别为(]0,5和(]5,10的人数，根据超几何分布的概率公式可分别求得X 所有可能的取值对应的概率，从而得到分布列；根据数学期望的计算公式可求得期望；（Ⅱ）首先确定所有排列总数，利用列举法列出Y 0=和2Y =的所有可能的情况，根据古典概型概率公式求得结果.【详解】（Ⅰ）听力等级为(]0,5的有0.0165504⨯⨯=人；为(]5,10的有0.0245506⨯⨯=人 则X 的所有可能取值为：0,1,2,3,4()46410151021014C P X C ====；()1346410808121021C C P X C ====；()224641*********C C P X C ====，()3146410244321035C C P X C ====；()4441014210C P X C ===X ∴的分布列为：()341471********* 1.621210E X ∴=⨯+⨯+⨯+⨯+⨯=. （Ⅱ）序号1234,,,a a a a 的排列总数为4424A =种当Y 0=时，11a =，22a =，33a =，44a = 当123412342Y a a a a =-+-+-+-=时，1234,,,a a a a 的取值为11a =，22a =，34a =，43a =或11a =，23a =，32a =，44a =或12a =，21a =，33a =，44a =()412246P Y ∴≤== 【点睛】本题考查超几何分布的分布列与数学期望的求解、古典概型概率问题的求解，涉及到频率分布直方图的应用等知识；求解分布列问题的关键是能够结合频率分布直方图确定随机变量所有可能的取值，进而计算得到每个取值所对应的的概率，属于常考题型.20.已知椭圆2222C :1(0)y x a b a b+=>>的上下两个焦点分别为12,F F 过点1F 与y 轴垂直的直线交椭C 于,M N 两点，2MNF ∆C 的离心率为2. （Ⅰ）求椭圆C 的标准方程；（Ⅱ）已知O 为坐标原点，直线y kx m =+与y 轴交于点P ，与椭圆交于,A B 两个不同的点，若存在m 使得34OA OB OP +=，求m 的取值范围.【答案】（Ⅰ）2214y x +=；（Ⅱ）()()2,11,2--⋃. 【解析】 【分析】（Ⅰ）令y c =可求得MN ，进而表示出2MNF ∆的面积，与离心率和椭圆,,a b c 关系一起可构成方程组求得22,a b ，进而得到椭圆方程；（Ⅱ）由向量线性运算可知3AP PB =，从而得到,A B 横坐标之间关系为123x x =-；将直线方程与椭圆方程联立可得韦达定理的形式，利用123x x =-，即()21212340x x x x ++=可求得22241m k m -=-，根据联立后的二次方程>0∆可构造出关于m 的不等式，解不等式求得结果. 【详解】（Ⅰ）设椭圆的焦距2c当y c =时，2122b MN x x a=-=2MNF ∴∆的面积为212122b cMN F F c MN a⨯⨯===又c e a ==222a b c =+，解得：21b =，24a = ∴椭圆C 的标准方程为：2214y x +=（Ⅱ）由34OA OB OP +=得：1344OP OA OB =+ 3AP PB ∴= 设()11,A x y ，()22,B x y 由22440y kx m x y =+⎧⎨+-=⎩得：()2224240k x mkx m +++-= 则()()222244440m k k m ∆=-+->，即2240k m -+>12224x km x k -∴+=+，212244m x x k -=+由3AP PB =得：123x x =- ()21212340x x x x ∴++=()()2222224412044m k m k k-∴+=++ 222240m k m k ∴+--=显然21m =不成立 22241m k m -∴=-2240k m -+> 2224401m m m -∴-+>-，即()222401m m m ->- 解得：21m -<<-或12m <<m ∴的取值范围为()()2,11,2--⋃【点睛】本题考查直线与椭圆综合应用问题，涉及到平面向量在椭圆中的应用；解题关键是能够根据平面向量的线性运算得到比例关系，从而得到横坐标之间的关系，利用韦达定理和判别式来构造方程和不等式求得结果.21.设函数()()2ln 11f x x ax x =-+++，()()21xg x x e ax =-+，a R ∈.（1）当1a =时，求函数()f x 在点()()22f ,处的切线方程； （2）若函数()g x 有两个零点，试求a 的取值范围； （3）证明()()f x g x ≤.【答案】（1）65y x =-（2）0,（3）见解析【解析】 试题分析： （1）求出导数'()f x ，计算'(2)f 得切线斜率，由点斜式写出直线方程，整理成一般式即可；（2）函数()g x 有两个零点，首先用导数来研究函数的性质：单调性、极值，然后由零点存在定理进行判断，求出'()(2)xg x x e a =+，按a 分类讨论，0a =时，()(1)xg x x e =-只有一个零点；0a >时，20x e a +>，这样易判断'()g x 的正负，从而得()g x 的单调区间和极值，由零点存在定理可判断符合题意；在0a <时，'()0g x =有两个解10x =和2ln(2)x a =-，又要按12,x x 的大小分类研究'()g x 的正负得()g x 的单调性，从而确定零点个数，最后综合可得；（3）证明函数不等式()()f x g x ≤，可证()()0f x g x -≤，设()()()h x f x g x =-，利用导数)'(h x 求出()h x 的最大值，只要最大值小于等于0，即证． 试题解析：（1）函数()f x 的定义域是()1,+∞，()()2211x ax a f x x -+'=-.当1a =时，()2426f a +'==，()2437f a =+=.所以函数()f x 在点()()2,2f 处的切线方程为()762y x -=-. 即65y x =-.（2）函数()g x 的定义域为R ，由已知得()()2xg x x e a '=+.①当0a =时，函数()()1xg x x e =-只有一个零点；②当0a >，因为20x e a +>，当(),0x ∈-∞时，()0g x '<；当()0,x ∈+∞时，()0g x '>. 所以函数()g x 在(),0-∞上单调递减，在()0,+∞上单调递增. 又()01g =-，()1g a =，因为0x <，所以10x -<，1x e <所以()11x ex x ->-，所以()21g x ax x >+- 取01142a x a--+=，显然00x <且()00g x > 所以()()010g g <，()()000g x g <.由零点存在性定理及函数的单调性知，函数有两个零点.③当0a <时，由()()20x g x x e a =+='，得0x =，或()2x ln a =-. )i 当12a <-，则()20ln a ->. 当x 变化时，()g x '，()g x 变化情况如下表：注意到()01g =-，所以函数()g x 至多有一个零点，不符合题意.)ii 当12a =-，则()20ln a -=，()g x 在(),-∞+∞单调递增，函数()g x 至多有一个零点，不符合题意.若12a >-，则()20ln a -≤. 当x 变化时，()g x '，()g x 变化情况如下表：注意到当0x <，0a <时，()()210x g x x e ax =-+<，()01g =-，所以函数()g x 至多有一个零点，不符合题意.综上，a 的取值范围是()0,+∞.（3）证明：()()()()111xg x f x x e ln x x -=-----. 设()()()111xh x x e ln x x =-----，其定义域为()1,+∞，则证明()0h x ≥即可. 因为();111x x x h x xe x e x x ⎛⎫=-=- ⎪--⎝⎭，取311x e -=+，则()()1310x h x x e e =-<'，且()20h '>.又因为()()()21101x h x x e x =++-'>'，所以函数()h x '在()1,+∞上单增.所以()0h x '=有唯一的实根()01,2x ∈，且0011x e x =-. 当01x x <<时，()0t h x <；当0x x >时，()0h x '>.所以函数()h x 的最小值为()0h x .所以()()()()0000000111110xh x h x x e ln x x x x ≥=-----=+--=. 所以()()f x g x ≤.点睛：利用导数证明不等式的技巧：（1）树立服务意识．利用给定函数的某些性质岧函数的单调性、最值等，服务于要证明的不等式．（2）强化变形技巧．对于给出的不等式直接证明无法下手，可考虑对不等式进行必要的等价变形后，再去证明．例如采用两边取对数（指数），移项通分等等，要注意变形的方向，因为要利用函数的性质，力求变形后不等式一边出现需要的函数关系式．（3）巧妙构造函数，．根据不等式的结构特征构造函数，利用函数的最值进行解决，在构造函数的时候灵活多样，注意积累经验．（4）证明操作过程：①构造函数()x ϕ，转化为证明()0x ϕ>或()0x ϕ<；②利用导数求函数()x ϕ的单调区间；③利用定义域内()x ϕ与0的大小关系，证明不等式．（二）选考题：共10分.请考生在第22、23题中任选一题作答.如果多做，则按所做的第一22.在直角坐标系xOy 中，曲线1C ：cos sin x r y r θθ=⎧⎨=⎩（θ为参数，常数0r >），以原点为极点，x 轴非负半轴为极轴建立极坐标系，曲线2C 的极坐标方程为28sin 150ρρθ-+=.（1）若曲线1C 与2C 有公共点，求r 的取值范围；（2）若1r =，过曲线1C 上任意一点P 作曲线2C 的切线，切点为Q ，求PQ 的最大值. 【答案】（1）35r ≤≤（2）26【解析】【分析】（1）根据三角函数同角三角函数关系消元得曲线1C 的普通方程，将曲线2C 的极坐标方程化为直角坐标方程，最后根据两圆位置关系列不等式，解得r 的取值范围；（2）先根据切线长公式得2PQ ，再根据三角函数有界性得最大值.【详解】解：（1）曲线1C 的普通方程为222(0)x y r r +=>，曲线2C 的普通方程为()2241x y +-=若1C 与2C 有公共点，则()()22100401r r -≤-+-≤+，所以35r ≤≤. （2）设()cos ,sin P αα，由22222221PQ PC C Q PC =-=- ， 得()222cos sin 41PQ αα=+-- 168sin 18824α=-≤+=.当且仅当sin 1α=-时取最大值，故PQ 的最大值为26.【点睛】本题考查参数方程化普通方程、极坐标方程化直角坐标方程以及两圆位置关系、切线长公式等，考查基本分析求解能力，属基本题.23.已知函数()|1|||f x x x a =+-+．（1）若0a =，求不等式()0f x ≥的解集；（2）若方程()f x x =有三个不同的解，求a 的取值范围．【答案】（1）；（2）10a -<<.【详解】（1）0a =时，1,1,()1{21,10,1,0.x f x x x x x x -<-=+-=+-≤<≥∴当1x <-时，()10f x =-<不合题意；当10x -≤<时，()210f x x =+≥，解得102x -≤<； 当0x ≥时，()1f x =0>符合题意．综上，()0f x ≥的解集为1[,)2-+∞． （2）设()1u x x x =+-，()y u x =的图象和y x =的图象如图，易知()y u x =的图象向下平移1个单位以内（不包括1个单位）与y x =的图象始终有3个交点，从而10a -<<．。
最新港澳台华侨生联考：数学三轮复习：综合练习5(含答案)
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华师导航教育港澳台联考周考三
华师导航教育港澳台联考周考三地理一、选择题：本大题攻20小题，每题3分。
在每小题给出的四个选项中，只有一项是符合题目要求的。
图1示意某地气温和降水资料。
读图1，完成1-2题.1、该地的地带性植被是（）A、亚寒带针叶林B、针阔叶混交林C、温带森林草原D、落叶阔叶林2、该地可能位于（）A、印度B、俄罗斯C、挪威D、智利图2为某人口超过1亿的国家不同年份人口年龄和性别结构变化。
读图2，完成3-4题。
3、根据图示信息判断，该国（）A、1950年劳动力最充足B、1970年人口增长最快C、2005年老年女性人口超过老年男性人口D、人口自然增长率持续增高4、当前，该国人口面临的主要问题是（）A、数量急剧增加B、老龄化严重C、新生儿男女比例失衡D、有大量剩余劳动力5、下列大河中，流向大致与地球自传方向一致的是（）A、尼罗河B、亚马孙河C、刚果河D、密西西比河6、可能由地震直接引发的自然灾害是（）A、台风B、寒潮C、海啸D、龙卷风图3为某国能源消费构成的变化。
读图3，完成7-8题。
7、1950-2009年，该国（）A、煤炭比重持续下降B、能源消费构成渐趋多元化C、石油消费量大幅下降D、水能渐趋枯竭8、该国可能是（）A、印度B、巴西C、日本D、中国9、下列钢铁工业企业中，原理原料、燃料产地而临近市场布局的是（）A、鞍钢B、攀钢C、唐钢D、宝钢10、我国在甘肃酒泉建设的有“陆上三峡”之称的大型能源基地，开发的能源是（）A、风能B、谁能C、太阳能D、核能11、世界很多国家共同签订的《京都议定书》，应对的全球性环境问题时（）A、生物多样性锐减B、环境污染C、南极“臭氧空洞”D、全球变暖12、下列各组地貌景观中，形成景观的主要作用力相同的一组是（）A、长白山天池、杭州西湖B、黄山怪石、野柳怪石C、云南石林、桂林山水D、长江三峡、东非大裂谷13、下列国家天然气产量最多的是（）A、俄罗斯B、美国C、中国D、英国14地中海沿岸典型的经济作物是（）A、大豆B、花生C、油橄榄D、甜菜15、下列国家中，是世界重要稻米出口国的是（）A、孟加拉国B、泰国C、土耳其D、委内瑞拉16、与北半球信风风向相同的是（）A、亚欧大陆东岸的夏季风B、北印度洋的冬季风C、越过赤道的南半球信风D、南极地区的极地东风17、下列城市中，一年内太阳升起的方位变化最大的是（）A、柏林B、罗马C、开罗D、科伦坡18、在北方冬季，人们常说“雪后寒”。
2021年华南师范大学附属中学高三英语第三次联考试卷及答案解析
2021年华南师范大学附属中学高三英语第三次联考试卷及答案解析第一部分阅读（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A、B、C、D四个选项中选出最佳选项ACome and enjoy Vivaldi's TheFour Seasonsperformed by live musicians!Tickets△Zone A Sating (Excellent Visibility, $75)△Zone B Seating (Great Visibility, $60)△Zone C Seating (Good Visibility, $45)△Zone D Seating (Restricted Visibility, 30)Zone A and Zone B audiences will get the chance to take pictures with the performers on the stage after the show.Highlights* A beautiful venue bathed in candlelight.*Classical music performance by the Angel Strings quartet*A safe and socially-distanced event, ensuring you are comfortable and at ease.General Info*Dates and times: Various dates, at 6:30 pm and 8:30 pm (select during purchase).*How long: 65 minutes. Doors open 45 minutes before the start time. We recommend you arrive at least 30 minutes before the start of the event, as late entry is not permitted.*Where: Events on Oxlade*Age requirement: Must be 8 years old or older to attend. Anyone under the age of 16 must be accompanied by an adult.*Please note: The 6:30 pm seating will take place during daylight hours outdoors, and the space will not be that dark. In the case of rain, the event will be moved to the indoor area of the venue.DescriptionWhether you're looking for a beautifully unique classical music performance or a romantic candlelit experience, this performance is for you. You don't need to know all things about Vivaldi to enjoy the evening; simply sit back and admire the wonderful atmosphere and the pieces you'll hear.Join our musicians for an evening under the stars, and prepare to be taken into the clouds with Vivaldi' s most treasured masterpieces!1.What can someone with a $45 ticket do?A.Perform on the stage.B.Enjoy good visibility.C.Select a seat in Zone B.D.Take photos with the musicians.2.What should potential audiences keep in mind?A.Arrive at the venue on time.B.Learn about Vivaldi in advance.C.The performance lasts 45 minutes.D.The event will be canceled if it rains.3.What do we know about the 8:30 p.m. performance?A.It welcomes children under the age of 8.B.Its performers differ on different dates.C.Its stage will be decorated with candles.D.It will be shown in the indoor area of the venue.BFrom skateboarding to Fleetwood Mac, TikTok users got creative in a pandemic (流行病) year with new songs, dances and shows in 60 seconds or less.The social mediavideo app on Wednesday shared its list of top 100 videos, creators and trends in America during 2020. “These videos brought joy and inspiration to millions of Americans in the rough year,” said Kudzi Chikumbu, director of creator community at TikTok.The platform has been widely associated with Generation Z (people born after 1996), millennials (people born in the 1980s or 1990s) and influencers who have started careers based on the shared videos.The Weeknd'sBlinding Lightsand Jason Derulo's Savage Loveinspired TikTok dance challenges that made them among the top songs used on the app.For some TikTok creators, the pandemic itself became inspiration to create a connection with other users. Comedian Caitlin Reilly used the app during quarantine (隔离) to make fun of those annoying coworkers for one of the top liked videos. And singer Curtis Roach made an song for the endless days at home with his song Bored in the House.The second most popular video was an Idaho man named Nathan Apodaca who shot to fame after coolly singing Dreams by Fleetwood Mac, while skateboarding on a highway.But the most liked TikTok video was awarded to Bella Poarch with 45 million followers, who created a simplebut interesting video with a few seconds of well-timed head nods and eye rolls.While the app might be designed for youth, Chikumbu said that the growth of TikTok this year has pushed it more into mainstream culture. “You're seeing everyone from the teenager to the college students with their parents and then their grandparents all making videos,” said Chikumbu. “And now TikTok trulytranscendsgenerations, particularly in this year when people had a lot of time to dig in and not only watch, but try.”4. What do we know about The Weeknd?A. He created the famous song Dreams.B. He started a career based on shared videos.C. He is probably a popular singer on TikTok.D. He organized the TikTok dance challenges.5. What did Curtis Roach think of his life during quarantine?A. Meaningful.B. Peaceful.C. Content.D. Uninteresting.6. The most popular TikTok video in 2020 was created by ______.A. Caitlin ReillyB. Curtis RoachC. Nathan ApodacaD. Bella Poarch7. What does the underlined word “transcends” in the last paragraph mean?A. Makes use of.B. Goes beyond.C. Calls on.D. Takes charge of.CAn anti-obesity program for Australian girls didn’t lead to any improvements in their diet, physical activities or body weight a year later, according to a new report.Findings from the school-based intervention (介入), which involved exercise sessions and nutrition workshops for lower-income girls, are the latest disappointment in a lot of research attempting tohead offadult obesity and the disease risks that come with it.Especially during the middle-and high-school years, girls’ physical activity reduces obviously, according to lead researcher David Lubans, from theUniversityofNewcastleinNew South Wales,Australia. He said, “In the future we need to make the programs more interesting and exciting and present information in a way that is meaningful to adolescent girl.”Lubans and his workmates conducted their study in 12 schools in low-income areas ofNew South Wales. At the start of the study, girls in both groups weighed an average of close to 130pounds, with about four in ten considered overweight. Over the next year, adolescents in the intervention group were given pedometers (计步器) to encourage walking and running and invited to nutrition workshops and regular exercise sessions during the schoolday and at lunchtime. Participation in some of those activities were less than ideal. For example, the girls went to only one-quarter of lunchtime exercise sessions, and less than one in ten completed at-home physical activity or nutrition challenges, the researchers reported. At the end of the year, girls in both groups had gained a similar amount of weight and there was no difference in their average body fat.Preventive medicine researcher Robert Klesges said that although some anti-obesity programs have helped adults lose weight, the teen population has always been a source of failure for researchers. “The common belief is: nothing works,” he said. “And we have got to get beyond that.”“We need to think outside the box,” said Klesges, who wasn’t involved in the new study. “That could include learning from what has worked in adult studies, such as giving meal replacement drinks or prepared foods to teens who have trouble making changes to their diet. Or, it could mean using a “step-care” method — rather than researchers or their doctor telling them to keep doing the same thing.” Klesges said.8. The underlined words “head off” in Paragraph 2 can best be replaced by “________”.A. damageB. defendC. preventD. affect9. The methods used in the program to stop obesity don’t include ________.A. walking and runningB. inviting them to nutrition workshopsC. joining exercise sessions regularlyD. giving meal replacement drinks10. The main reason for the failure of the anti-obesity program is probably that ________.A. the participants didn’t take an active part in itB. the program was not interesting and exciting to participantsC. the participants didn’t get extra nutrition or exercise helpD. the program didn’t pay attention to healthy exercise11. What can be inferred from the last paragraph?A. As researchers, it is important to have creative research methods.B. Researchers need to give meals or prepare foods to participants.C. Teen girls have no difficulty in making changes to their diet.D. Some ant-obesity programs have not helped adults lose weight.DAlthough computer technology is often necessary today, using a pen or pencil activates more areas of your brain than a keyboard does. You can potentially remember more by handwriting, according to a new study.The potential benefits of handwriting for memory have been debated for some time. The new study set out to answer one question: How does handwriting compare to using a keyboard when it comes to remembering new information?In all,24 participants took part. Researchers asked each of them to write with a pen and then each was also asked to type on a keyboard. While performing these tasks, each volunteer wore a cap that held electrodes next to their head. It looked somewhat like a hair net fitted with 256 sensors. Those sensors recorded the participants' brainwaves. The electrodes noted which parts of the brain turned on during each task. And they showed that writing turned on memory areas in the brain while typing didn't.Audrey van der Meer, the new study's leader, says this suggests that when we write by hand, we remember better. “This is because writing involves complex movements that activate more areas of the brain. The increased brain activity gives the brain more ‘hooks’ to hang your memories on,” she explains. Van der Meer also points out that writing by hand is related to visual notetaking. “Rather than typing blindly, the visual notetaker has to think about what is important to write down. Then, key words can be interlinked by boxes, arrows and small drawings,” she adds.This study does not recommend banning digital devices. In fact, its authors point out, computers and other devices with keyboards have become necessary in modern society. Keyboarding can especially benefit those with certain special needs (such as if they have trouble using their hands) and typing beats writing when it comes to speed, they add.12. Why were participants asked to wear caps in the study?A. To record their brainwavesB. To inform them of their tasksC. To allow them to focus on writingD. To protect their heads like hair nets13. What does Audrey van der Meer try to explain?A. Why handwriting is more complex than typingB. Why the brain works when it comes to learningC. Why handwriting helps remember informationD. Why key words are helpful to visual notetaking14. What is the study's authors' view on typing?A. It relieves people's handsB. It remains vital and helpfulC. It is not worth recommendingD. It is more challenging than writing15. Which of the following can be a suitable title for the text?A. How Can You Remember New Information?B. Handwriting Benefits Health in the LongRunC. Should Typing Take the Place of Handwriting?D. Handwriting Is Better for Memory Than Typing第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
2021届华师附属高级中学高三英语第三次联考试卷及参考答案
2021届华师附属高级中学高三英语第三次联考试卷及参考答案第一部分阅读（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A、B、C、D四个选项中选出最佳选项AExperts say that if food were a country, it would rank second behind theUSas one of the biggest greenhouse gas polluters. The reason is the rising demand for meat. Animal farming is responsible for 14.5 percent of global methane emissions. While cowsare the worst contributors, pigs, sheep, donkeys and other animals play a part as well.Animal agriculture also causes land to become damaged, water to be polluted and forests to get destroyed. With the world population forecast to rise to 9.8 billion by 2050, things are only looking worse for our already decreasing natural resources. While going vegetarian would help, meat consumption is too deep-rooted in most Western diets to allow for such a sharp, permanent change. That is why experts are advocating substituting some of the beef, chicken, or pork with ordinary insects!Insects, which grow into adults within a matter of months, if not weeks, are ready for consumption much faster than domestic animals. They also require much less room, use less water and food, and produce far less greenhouse gas than animals.Of the 1.1 million insect species worldwide, scientists have identified 1,700 as eatable. Among them are ants, grasshoppers, grubs, and earthworms. Just like animals, each insect has a different taste. Tree worms taste just like pork, and grubs are similar to smoked meat.While eating insects might be a new concept for Western people, over 2 billion people worldwide consume insects as a regular part of their diet. Besides being delicious, insects are high in protein, have very few calories, and are free of the saturated fat found in animal meat. Insects can be prepared in many ways. Creative cooks can use them to cook protein-rich soup, make baked treats, and even fry a few with vegetables. So eat insects--- both your body and Mother Earth will thank you for it!1. Which of the following animals contribute the most to global methane emissions?A. Sheep.B. Donkeys.C. Cows.D. Pigs.2. How is the third paragraph developed?A. By making comparisons.B. By providing examples.C. By listing data.D. By asking questions.3. What can be inferred from the last paragraph?A.Few people eat insects regularly.B. Ordinary insects are high in fat.C. Insects contain various vitamins.D. Saturated fat is harmful to health.BIf you’ve ever had a dog, you know just how deep a connection you can develop with “man’s best friend”. But a dog has a much shorter life span — about 12 to 15 years long — than humans, which means every dog owner has to go through the heartbreaking moment when their loving pet passes away.Why not make a clone of that dog then? This is the solution offered by a South Korean company, Sooam Biotech Research Foundation. The company has successfully cloned at least 400 dogs, mostly for US customers, ever since it pioneered the technique in 2005. Now, Sooam Biotech is planning to introduce their business toUKdog owners, offering them dogs that look just like their lost ones.Meanwhile, another dog is selected to supply an egg.Researchers then replace the DNA in the egg with that from the skin cell and implant the egg into the womb (子宫) of a female dog. The egg grows into a puppy over the following two months. To clone a dog, researchers first need to take a skin cell from a living dog or one that has just died.The whole process takes less than a day, but it comes at a shockingly high price — around £63,000 (614,000 yuan). But if you can’t afford it now, you can also save the cells in a laboratory and access them at a later date. Just like identical twins of humans, they share the exact same DNA but there will still be small differences between them. “The spots on a Dalmatian clone will be different, for example,” Insung Hwang, head of Sooam Biotech, toldThe Guardian. However, as magical as cloning might sound, there is no guarantee that the cloned dog will be a perfect replica of the original one.Dog owners will also have to accept the fact that personality is not “clone-able”. Apart from genes, personality is also determined by upbringing and environment, which are both “random elements [that] cloning technologies simply cannot overcome”, Professor Tom Kirkwood atNewcastle University,UK, toldThe Telegraph.Perhaps bringing our dogs back with cloning is not the best way to remember them after all.Kirkwood, a dog owner himself, pointed out: “An important aspect of our relationship with them is coming to terms with the pain of letting go.”4. According to the article, Sooam Biotech Research Foundation is ______.A. working on plans to help dog owners enjoy their pets longerB. offering a way to help dogs give birth to more puppiesC. providing a service that will make copies of pet dogsD. introducing a completely new technique to clone dogs5. Which of the following statements about dog cloning is TRUE according to the article?A. Dog cloning technology hadn’t been put into practice until recently.B. Dog cloning is very expensive and usually takes several months to complete.C. Dog cloning is very popular among US andUKpet owners.D. Cloned dogs might develop different habits and characteristics even though they look very similar.6. Which of the following shows the correct order of the dog cloning process?a. an egg is taken from another dogb. a skin cell is taken from the pet dog and saved in a laboratoryc. the egg is placed in the womb of a female dogd. the DNA of the egg is replaced by the DNA from the skin celle. the egg grows into a puppy in two monthsA. acbde.B. adbce.C. bacde.D. badce.7. We can learn from the article thatKirkwood______ dog cloning.A. disapproves ofB. supportsC. is afraid ofD. is curious aboutCWe've all heard it before：to be successful, get out of bed early. After all, Apple CEO Tim Cook gets up at 3：45 am, Fiat CEO Sergio Marchionne at 3：30 am and Richard Branson at 5：45 am﹣and, as we all know, "the early bird's catches the worm. "But just because some successful people wake up early, does that mean it's a trait most of them share？And if the idea of having exercised, planned your day, eaten breakfast, visualized and done one task before 8 am makes you want to roll over and hit snooze till next Saturday, are you really doomed to a less successful life？For about half of us, this isn't really an issue. It's estimated that some 50% of the population isn't really morning or evening﹣oriented, but somewhere in the middle. Roughly one in four of us, though, tend more toward bright﹣eyed early risers, and another one in four are night owls. For them, the effects can go beyond falling asleep in front of the TV at 10 pm or being regularly late for work.Numerous studies have found that morning people are more self﹣directed and agreeable. And compared tonight owls, they plan for the future more and have a better sense of well﹣being.Although morning types may achieve more academically, night owls tend to perform better on measures of memory, processing speed and cognitive（认知）ability, even when they have to perform those tasks in the morning. Night﹣time people are also more open and more creative. And one study shows that night owls areas healthy and wise as morning types﹣and a little bit wealthier.Still think the morning people sound more like CEO material？Don't set your alarm for 5 am Just yet. As it turns out, overhauling（全面改革）your sleep time may not have much effect"If people are left to their naturally preferred time, they feel much better. They say that they are much more productive. The mental capacity they have is much broader, " says Oxford University biologist Katharina Wulff. On the other hand, she says, pushing people too far out of their natural preference can be harmful. When they wake early, for example, night owls are still producing melatonin（褪黑素）. "Then you disrupt it and push the body to be in the daytime mode. That can have lots of negative physiological consequence. " Wulff says, like a different sensitivity to insulin and glucose（葡萄糖）which can cause weight gain.8. What does the authordo in the first three paragraph？A. raising the problem→analyzing the problem → solving the problemB. leading in the topic→challenging a viewpoint → discussing about the topicC. presenting a viewpoint → providing supporting proofs→making a conclusionD. introducing a viewpoint →raising the question→presenting author's viewpoint9. What can we know from the 4th and 5th paragraph？A. Morning types tend to have clear goals and better mood.B. To beat night﹣time people ask them to do math calculation in themorning.C. Night owls tend to sacrifice their health for their wealth.D. Neither night owls nor morning persons perform better than the middle ones.10. Which of the following does Katharina Wulff support？A. Don't fall sleep in front of the TV.B. Avoid being regularly late for work.C. Stop setting your alarm for 5 am.D. Better not overhaul your sleep time.11. Why does the author write this article？A. To explain why some people are more successful.B.To compare the differences between early risersand night owls.C. To advise people to get up neither too early nor too late.D. To argue against this view that the Carly bird catches the worm.DIt was very cold and I had been watching a homeless man make himself comfortable in a “shelter” on the river bank. His “shelter” was a tarpaulin (油布)tied to rocks to keep the wind from blowing it away. He had been living there for over a month. I never saw him with warm clothing or food. I knew what I wanted to do.When I told my parents what I wanted to do they werealarmed. They said I could be putting myself at risk, taking a box to a homeless person at night! But I knew, in my deep heart, that I would be safe.I got a box. My parents watched as I added warm gloves, a heavy blanket ... into the box until it was full! Then, I put a Christmas card on top. It said, “Even though we hardly know each other, I want to wish you a Merry Christmas!” I put ten one-dollar bills inside it as well.My father insisted he went there with me as it was 10 pm on Christmas Eve. I said he could drive me but he had to stay in the car. He agreed.I took the box and walked towards his “house”. I called, “Sir, I have a Christmas box for you!”“Go away!” he shouted.“Sir,” I repeated.“Go away!” he shouted.“Why?” I asked him.He walked over and I expected to see an angry face. Instead I saw two of the most beautiful, gentle, blue eyes I have ever seen.“Merry Christmas!” I said.“Why are you doing this?” he asked.“Because you matter to me,” I said. With that I gave him the box.Tears came to his eyes and he thanked me. I got back to the car and watched him carry the box like it was filled with gold. I didn’t want to embarrass (使困窘) him by watching him any more so Dad and I left.12. The underlined word “alarmed” can best be replaced by _____.A. pleasedB. worriedC. disappointedD. surprised13. Why did the author ask his father to stay in the car?A. Because he wanted to prove he was brave.B. Because he believed the homeless man was bad.C. Because he wanted to protect his father from being hurt.D. Because he didn’t want the homeless man to feel bad.14. When the homeless man saw the author first, he was _____.A. quite angryB. very excitedC. quite puzzledD. very curious15. The author’s purpose in writing the text is to tell readers that _____.A. it is easier said than doneB. poverty is the mother of healthC. where there is a will, there is a wayD. a willing helper doesnot wait until he is asked第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
2020-2021学年华师附属高级中学高三英语第三次联考试卷及参考答案
2020-2021学年华师附属高级中学高三英语第三次联考试卷及参考答案第一部分阅读（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A、B、C、D四个选项中选出最佳选项AThailand is a country with a long and rich history. It is also one of those countries which have many traditions which modern times fortunately have not affected. Thailand is famous for its unique culture. It is well worth noting that Thai culture hasbeen handed down from one generation to the next.Thai Classical DanceThe inspiring culture includes local music and wonderful Thai dances. The dances of course have something to do with its deep-rooted Buddhist religion, fighting arts and beautiful clothing. Thai classical dance performances are generally performed by gracious (高雅的) Thai ladies wearing beautiful Thai local costumes. Most resort (旅游胜地) areas and many hotels frequently offer these Thai culture dance shows for foreign visitors.Thai GreetingThe unique Thai gesture of greeting another person, the wai, is especiallyone of the great aspects of Thai culture. The wai is when a person joins both hands to either head or chest level while bending their head slightly towards his hands. This way of greeting is especially done when a younger person greets an older person and it indicates a sign of respect to their elders. Employees would also wai their managers even if the manager would be younger than themselves.BangkokBangkok is the culture center of Thailand and has been the Thai capital since the end of the eighteenth century. Observing Thai culture in Bangkok can be great experience as the combination of modern times and traditions have created a kind of unique atmosphere. Bangkok offers a package of Thai culture which is shown by numerous beautiful Buddhist temples and many examples of modern Thai architecture.Bangkok National MuseumAnother location in Bangkok where one can enjoy and see Thai culture is at the famed Bangkok national museum, which offers tourists an opportunity to view national treasures and unique Thai art pieces with its culture feature dating back as early as the late sixteenth century.1.Thai classical dance is related to ________.A.its living level and educationB.its history and architectural styleC.its customsD.its religious belief2.In Thailand a worker uses the gesture, the wai , to greet________.A.his close friend.B.a young stranger.C.his younger colleagues.D.his young boss.3.What make Thai culture in Bangkok so unique?A.The long history and fine weather of Bangkok.B.The mixture of the modern culture and traditions.C.A number of beautiful Thai Buddhist templesD.Many examples of modern Thai architecture.BPablo Picasso was born on October25 inMalaga. Spain in 1881. Taking after his father, Picasso shared apassion（热爱）for painting and art. Even though he wasn't the best student in school, Picasso excelled at drawing. Noticing his amazing talent, Picasso's father, an artist, taught him everything he knew. Before long, Picasso could paint and draw much better than his father. With this rich talent, Picasso paid less and less attention to his schoolwork and spent the majority of his day sketching and drawing in notepads and sketchbooks.When he was a little bit older, Picasso moved twice and was accepted into two fine art programs. However, he didn't care very much for the special techniques they taught and often wandered the streets by himself drawing the scenes around him. After moving to these two places, Picasso moved back home toBarcelonaand decided that he would develop new techniques of art and painting based on what he saw.Later, Picasso decided to move toParis,France, where he began perfecting his own techniques of painting, drawing and other forms of art. His drawings. paintings, and an included pieces about sadness, poverty, classics and self-portraits. One of his major types of work is calledcubism（立体派），which includes art with all sizes of geometric shapes together on the piece of an. This type of art is very important because no other artists had come up with the idea before. Picasso decided to try something new, and as a result, cubismis widely accepted today as a classic style of art.Picasso inspires us to always be thinking. He tells us to think outside the box and come up with fresh new ideas that can change the world. He surely plays a significant role in the art field.4. What do we know about Picasso as a student at school?A. He hated doing his homework.B. He was very proud of his talent.C. He showed great talent for drawing.D. He was often praised by his teacher.5. What did Picasso's father do when he found Picasso's gift?A. He tried his best to help Picasso.B. He blamed Picasso for his laziness.C. He asked Picasso to finish his work on time.D. He encouraged Picasso to do better at school.6. What was Picasso's attitude towards the special techniques at that time?A. He thought highly of them.B. He took no interest in them.C. He was confused about them.D. He was concerned about them.7. What does the author tell us in the last two paragraphs?A. Picasso has great faith in art.B. Picasso has changed the world a lot.C. Picasso can do anything he wants to.D. Picasso is a highly creative artist.CThe climate change is already eating into the output of the world's agricultural systems, with productivity much lower than it would have been if humans hadn't rapidly heated the planet, new research has found.Advances in technology, fertilizer (化肥)use and global trade have allowed food production to keep pace with an increasing global population since the 1960s. But rising temperatures in this time have acted as a handbrake (手刹) to farming productivity of crops, according to the new research, published in Nature Climate Change. Productivity has actuallyslumpedby 21% since 1961, compared to if the world hadn't been affected by global heating.With the global population set to rise to more than 9 billion by 205, the UN'S Food and Agriculture Organization has estimated that food production will have to increase by about 70%,with annual crop production increasing by almost 1 billion tons and meat production by more than200mtons a year by this point. Meanwhile, global temperatures are rising at a rate that scientists warn is extremely dangerous for human civilization.“The impact already is larger than I thought it would be,” said Ariel Ortiz-Bobea, an economist atCornellUniversitywho led the research. “It was a big surprise to me. The worry I have is that research and development in agriculture takes decades to translate into higher productivity. The projected temperature increase is so fast that I don't know if we are going to keep pace with that.”Weston Anderson, a researcher of food security (安全) and climate at Columbia University who didn't take part in the study, said the new research provides fresh insight into the importance of the impact upon agriculture.“The regions that this paper highlights as experiencing the largest reductions in agricultural productivity-CentralAmericaand theSahel- contain some of the least food secure countries in the world, which is a real concern,” he said.8. What does the underlined word “slumped” in paragraph 2 mean?A. Fallen.B. Gathered.C. Approached.D. Benefited.9. What is Ariel Ortiz-Bobea worried about?A. Fertilizer is used in food production.B. Population will rise to over 9 billion.C. Global temperatures are rising too fast.D. Agricultural research needs many years.10. What can we learn about Weston Anderson?A. He puts forward a different solution.B. He proposes carrying on with the research.C. He pays more attention to food insecure regions.D. He supports improving agricultural productivity.11. What is the best title for the text?A. The Impact of Growth in Farm ProductivityB. Productivity in Agriculture is GrowingC. Causes and Effects of Global HeatingD. Rapid Global Heating is Hurting Farm ProductivityDWhen I was seven my father gave me a Timex, my first watch. I loved it, wore it for years, and haven’t had another one since it stopped ticking a decade ago. Why? Because I don’t need one. I have a mobile phone and I’m alwaysnear someone with an iPod or something like that. All these devices (装置) tell the time — which is why, if you look around, you’ll see lots of empty wrists; sales of watches to young adults have been going down since 2007. This is ridiculous. Expensive cars go faster than cheap cars. Expensive clothes hang better than cheap clothes. But these days all watches tell the time as well as all other watches. Expensive watches come with extra functions — but who needs them? How often do you dive to 300 metres into the sea or need to find your direction in the area around the South Pole? So why pay that much of five years’ school fees for watches that allow you to do these things?If justice were done, the Swiss watch industry should have closed down when the Japanese discovered how to make accurate watches for a five-pound note. Instead the Swiss reinvented the watch, with the aid of millions of pounds’ worth of advertising, as a message about the man wearing it. Rolexes are for those who spend their weekends climbing icy mountains; a Patek Philippe is for one from a rich or noble family; a Breitling suggests you like to pilot planesacross the world.Watches are now classified as “investments” (投资). A 1994 Philippe recently sold for nearly £ 350,000, while 1960s Rolexes have gone from £ 15,000 to £ 30,000 plus in a year. But a watch is not an investment. It’s a toy for self-satisfaction, a matter of fashion. Prices may keep going up — they’ve been rising for 15 years. But when of fashion. Prices may keep going up — they’ve been rising for 15 years. But when fashion moves on, the owner of that £ 350,000 beauty will suddenly find his pride and joy is no more a good investment than my childhood Times.12. The author don’t need another watch because ________.A. he don’t like wearing a watchB. he has mobile phone and can ask someone for helpC. he has no sense of timeD. he thinks watches too expensive13. It seems ridiculous to the writer that________.A. expensive watches with unnecessary functions still sellB. expensive clothes sell better than cheap onesC. cheap cars don’t run as fast as expensive onesD. people dive 300 metres into the sea14. What can be learnt about Swiss watch industry from the passage?A. It wastes a huge amount of money in advertising.B. It’s hard for the industry to beat its competitors.C. It targets rich people as its potential customers.D. It’s easy for theindustry to reinvent cheap watches.15. Which would be the best title for the passage?A. Timex or Rolex?B. My Childhood TimexC. Watches? Not for Me!D. Watches----a Valuable Collection第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
港澳台联考数学练习三答案.doc
x-1, x<l 3 13' J = |lnx, 1. 14' 21415.—16.22118. 一3一周四套综合题（三）答案2.5—2.11题号 1 2 3 4 5 6 78 9 10 11 12 答案D B B A A D C A A A C A1、tan[ (A+B) /2]+tanC/2=4, tan(A+B)=tan(ir-C)tan[ (A+B) /2]+tanC/2=tan[TT/2-C/2]+tanC/2=cot(C/2)+tan(C/2)=cos(C/2)/sin(C/2)+si n(C/2)/cos(C/2)=[si n(C/2)A2+cos(C/2)A2]/(sinC/2)(cosC/2)=2/sinC=4,C=TT/6 或5TT/6 cos(A/2)=cos[n-(B+C)]/2=sin[(B+C)/2]cos(A/2)A2=sin[(B+C)/2]A2=[1-cos(B+C)}/2=sinBsinC,1-cosBcosC+sinBsinC=2sinBsinCcos(B-C)=1 ,B-C=O(TT不符合题意)B=C=TT/6,5TT/6应舍去(不能有二个钝角)，V A=2TT/3,根据正弦定理，a/sinA=b/sinB,b=25c=22. a n = n(n +1), b n=(n +1)2；3. (1)证明:设A(无i，彳)、B(X2,%2)J E(兀E，V E)、〃(兀F，V F)则直线AB的方程：y =——— (兀一旺)+彳即：y =+x2)x-x1x2%! 一X2因M(x0,y0)在AB 上,所以y0 = (x r + x2)x0 -x T x2....... ① 又直线4P方程：%y =————x + y0兀2 _ y由 4 兀1 得：x2——-- -- x-y o=O2 X1「2 2 所以兀]+ 心=———=> = ——, =冷x{兀] 西所以直线肪的方程：》=—（匕鱼）儿兀―』-x r x2x x x2令兀=一兀0 得y 二丄一[（兀1 + X2）x o - y0]护2同将①代入上式得y = y0,即N点在直线EF上，所以E,F,N三点共线（2）解：由已知4、B、M N共线，所以4（—竝,儿）,3（仮'，儿）以4B为直径的圆的方程：〒+（丁一儿）2 =儿由F+（y_y°）2 = y°得八（2y°-l）y + y：-y°=0= y所以y = y0（舍去），y = y（）_i要使圆与抛物线有异于4,B的交点，则y o-l>O所以存在y0>l,使以AB为直径的圆与抛物线有异于的交点T（x T,y T）则“=儿—1,所以交点T到4B的距离为y°—y厂儿―（儿―1） = 14. （1）设AO],”）』/,%），由已知得到必旳工。
2020年华师附属高级中学高三英语第三次联考试卷及答案解析
2020年华师附属高级中学高三英语第三次联考试卷及答案解析第一部分阅读（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A、B、C、D四个选项中选出最佳选项AThis online course is designed to provide you with work-ready skills including responding to job advertisements，writing application letters and resumes（简历）and developing inter-view skills．What topics will it cover?● The recruitment（招聘）and selection process● The job application● Planning for the interview● Developing interview skillsWhat will you achieve?By the end of the course，you'll be able to...● Assess the recruitment and selection process from an employer's point of view● Interpret an advertisement，job description and selection criteria correctly● Model a well-written job application● Plan for a job interviewWho is the course for?While this course appeals to trainees and graduates，it also applies to job seekersin the broader community looking to increasing their confidence and success rate when applying for work．Who develops the course?Central Queensland University．It is Australia's leading regional university．Our courses are designed alongside industry andmany include hands-on learning experiences and project-based learning．Our commitment to making real-world knowledge and skills accessible to all has seen us being awarded global recognition．1. What will students learn if they take the online course?A. The way to write a resume．B. The way to put an advertisement．C. The skills of talking with others．D. The skills of improving reading．2. Who is the online course intended for?A. Trainers．B. Interviewers．C. Job seekers．D. College students．3. Which ofthe following best describes the online course?A Cheap． B. Practical． C. Long-standing． D. World-class．BUnderstanding the link between a clean environment and human life is not a new concept. In fact, it was noticed as early as ancient Rome. Today we see how green living has infiluenced our everyday lives. There is a growing community of people who embrace a zero waste lifestyle and make changes to the way they live to reduce their carbon footprint.Living a zero waste lifestyle means doing one’s best to achieve the aim of not sending anything to a landfill. People who adopt this lifestyle ultimately cut down on their waste by reducing what they need and want. They reuse what they own, sending few things to be recycled.Many people who adopt the zero waste lifestyle claim to be frustrated by the many harmful chemical substances found in beauty and cleaning products. They also find the uses of disposable items and excessive packaging. For example, how many times have we had to peel away layers of plastic wrap and cardboard before finally taking out the item which we had bought? Instead of buying pre-packed food and goods, those who identify with the zero waste philosophy tend to shop in stores that allow them to make purchases and bring their own cloth bags and glass jars to store their purchases.Many people may have the misconception that it is easier to live a zero waste lifestyle in the West. Nevertheless, Malaysian environmental journalist, Ms. Aurora Tin, has proven that a zero waste lifestyle is possible even in the Asian context. Instead of going to the supermarket to buy pre-packaged foods, Ms. Tin now visits the wet market and brings her own bags for vegetables. She has even stopped using store-bought toothpaste and makes her own toothpaste from coconut oil and baking soda. This lifestyle may be too big a change for the average person, but we could follow her suit to make gradual changes to our own lives.4. Which of the following is a zero waste lifestyle?A. Bringing a resuable container to take away food.B. Choosing appliances that cost less money.C. Turning off a device to stop using power.D. Classifying the garbage before throwing it away.5. What may disappoint a person who adopts a zero waste lifestyle?A. Recycable carboard.B. Excessive packaging.C. Glass jars to store purchases.D. Natural substances in cleaning products.6. What is the main idea of the last paragraph?A. How do people live a zero waste lifestyle.B. Why Ms. Tin chooses to live a zero waste lifestyle..C. We can also practice a zero waste lifestyle in Asia.D. It is easy to live a zero waste lifestyle in the West.7. What is the best title of the passage?A. Living a zero waste lifestyle.B. Going green ismore than a fashion.C. A zero waste lifetyle is easy to achieve.D. Making environmentally-conscious decisions.COver the years, NASA has successfully sent several rovers (飞行器) to Mars. While the science laboratories continue to provide important information on the Red Planet, they keep the space exploration rovers staying closeto the original landing place.To get a more comprehensive (详尽的) view of Mars, the US Space Agency plans to make a small test helicopter with the Mars 2020 Rover, which will be sent off in July 2020.The football-sized “marscopter” weighs about four pounds.It can fly at about ten times the speed of helicopters on Earth. The light weight and fast speed are important for the helicopter to be able to fly in the thin Mars atmosphere, which is about just one percent of that of Earth. “To make it fly in that thin Mars atmosphere, we had to make everything ready, and make it as light as possible while being as strong and powerful as it can possibly be. “Mimi Aung, Mars helicopter project manager, said in a meeting.Upon landing on the Red Planet, the Mars 2020 Rover will find a proper location to send of the helicopter. The helicopter will start with a short climb, no higher than 10 feet, and hover (盘旋) for just 30 seconds before landing back on the Mars surface. If all goes well, five more flights of longer distances, for 90 seconds each, will be conducted over the next 30 days. The short journeys will be recorded by a small camera and sent back to the scientists on Earth.If the plan goes on well, the first helicopter to fly in another world, will open up a whole new way to explore Mars. The Mars helicopter's first flight will be a great invention. For those of us whose research is about flight, that would be a wonderful, historic moment.8. To fly in thin Mars atmosphere，we should make the helicopter_______.A. strong and heavyB. heavy and fastC. light and fastD. strong and slow9. How many times will the helicopter fly?A. Three timesB. Four timesC. Five timesD. Six times10. What can we learn from the last paragraph?A. It’s interesting to fly in another world.B. I' s important to fly in another world.C. The plan to fly the helicopter goes on well.D. The helicopters first flight is successful.11. What may be the best title for the passage?A. To send a helicopter to Mars in 2020B. To send a rover to Mars in 2020C. To live in the thin Mars atmosphereD. To send back records to scientistsDMikah Frye, a 9-year-old boy, was walking down the streets with his grandmother discussing Christmas gifts when he saw some homeless people struggling to stay warm in the cold night. Then he was thinking about a way to help the homeless to spend a warm Christmas.That thought stayed in Mikah Frye’s mind and when he reached home, Mikah informed his parents not to buy the Microsoft XBox gaming device he had asked for earlier. Mikah realized that by not buying the $300 device, he could instead donate over 30 blankets to the homeless. He knew how much it meant to be warm in the cold holiday season.Three years ago, Mikah and his parents were the ones living in a homeless shelter. Having suffered a financial crisis, they too had lost their house, not knowing where their next meal would come from and sharing a blanket every night. Mikah was six years old then but he remembered what it was like to have to give back that precious blanket every morning.Reaching out to the emergency shelter programme that looked after them 3 years ago, the family donated 60 blankets in the end, each with a personalized message of hope in Mikah’s handwriting stating: “They gave me a blanket, but I had to leave it. That’s why I want you to have your own blanket. Today, I live in my own house, and someday you will too. Your friend, Mikah.”The homeless people at the shelter may not have been able to give Mikah a Christmas gift in return but his gesture was noted by the billion dollar company Microsoft who made sure that Mikah was fooled into visiting their store so that Santa Claus could personally deliver an XBox from the company to him as a reward for making the top of “Santa’s list of nice boys” that year.12. Why did Mikah give up his Christmas gift?A. The device was out of date.B. His parents had a tight budget.C. He wanted to spend a warm Christmas.D. He decided to do something charitable.13. What made Mikah have a better understanding of the situation of the homeless?A. His own experience.B. His parents’ education.C. His visiting to the emergency shelter.D. The cold weather during the holiday season.14. What can be inferred from the last two paragraphs?A. The homeless gave Mikah a gift in return.B. He finally got the gift he wanted on Christmas.C. The company Microsoft fooled Mikah into buying an Xbox.D Mikah wrote a thank-you note to the emergency shelter he lived in.15. What might be the best title for the text?A. Mikah’s Precious Christmas GiftB. Mikah’s Giving Warmth on ChristmasC. Microsoft Rewarded Nice Boys on Santa’s ListD. The Homeless Needed Blankets on a Cold Christmas第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
2021年华师附属高级中学高三英语第三次联考试题及参考答案
2021年华师附属高级中学高三英语第三次联考试题及参考答案第一部分阅读（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A、B、C、D四个选项中选出最佳选项AFour Best Hikes in the WorldThere's nothing like getting out and getting some fresh air on a hike. No matter whether your idea of a hike is a leisure walk or climbing the highest mountain on Earth, we've got you covered. Below are four best hikes inthe world.Torres del Paine W CircuitLocation (位置): Patagonia. ChileDistance: 37 + milesTime: 5~6 daysBest time to go: October to JanuaryThe W Circuit is one of the most recommended hikes you'll find. Not only will you appreciate the diverse landscapes and striking granite pillars (花岗岩柱子), but you'll probably meet some new friends along the way.Grand Canyon Rim - to - Rim HikeLocation: Arizona, the United StatesDistance: 48 milesTime: 1~3 daysBest time to go: May to June, September to OctoberThere's no better way to experience one of the greatest wonders in the world. Located in one of the USA's most beautiful parks, the views are ly appealing. Just make sure you're prepared for the challenge.Trek to PetraLocation: JordanDistance: 47 milesTime: 5~ 6 daysBest time to go: October to AprilTake the road less traveled through the Kingdom of Jordan and experience one of the seven wonders of the world. Hike through canyons, gorges and ridges, and see tombs and temples along the way all while avoidingcrowds of tourists.Yosemite Grand TraverseLocation: California, the United StatesDistance: 60 milesTime: 6~7 daysBest time to go: July to SeptemberKnown for some of the best hiking in the world, Yosemite National Park is famous for its views and huge sequoia (红杉) trees. Praised byNational Geographic, the Yosemite Grand Traverse will take you through waterfalls and green mountaintops.1.Which of the following is the best time for the hike in Patagonia, Chile?A.AprilB.MayC.AugustD.December2.Where should you go for a less crowded hike?A.JordanB.Patagonia, ChileC.Arizona, the United StatesD.California, the United States3.What can you do along the Yosemite Grand Traverse?A.Plant sequoia treesB.Appreciate waterfallsC.Visit local templesD.Climb granite pillarsBSusan Scott, 71, is glad that she didn't think about her age when she took up bodybuilding at the age of 59.“I reinvent myself every ten years. I started my 60s as a bodybuilderand now I'm beginning my 70s as a writer,” she said. “People usually limit themselves by age, and it's discouraging. With age, I remain young at heart.”Dr Susan started bodybuilding at an age when most are considering retirement though she was an athlete from an early age. As a child in Venezuela, she took to gymnastics and later graduated with a physical education degree.Then she obtained a master's degree in education and later a Ph. D. in Adult Personal Development. She taught at Cambridge Rindge and Latin High School in Cambridge, Massachusetts, for 16 years, while raising two daughters.“I started bodybuilding when I met Steve Pfiester, a gym guy who practiced yoga. He invited me to his gym and offered to train me. I started in January and in June he took me to my first competition in Bradenton, Florida,” she recalled.Dr Susan's photos show that she has devoted long hours to taking care of her body. But she also develops her mind and spirit. On any given day, she gets up at 3 am to read books. At 4:30 am she's out to walk three miles and run another three. This is followed by yoga and a swim at the beach while the sun rises. After writing her journal and working on her book between 8 and 10 am, she hits the gym for at least two hours. “I don't lose track of time,” she said.Dr Susan's war on ageism has rubbed off on her two daughters, both in their early thirties. “They both take care of their bodies and minds. If you give them a good foundation as a parent, you know that they will always come back to their roots. I tried to remind myself of that during their difficult teen years.”4. What's Dr Susan's opinion on age?A. Age cannot be hidden.B. Age is a state of mind.C. Every age has its pains and sorrows.D. Old age is not suitable for further study.5. What made Dr Susan start bodybuilding?A. The need of her job.B. Her youthful dream.C. Steve Pfiester's influence.D. Her daughters' encouragement.6. Which of the following best describes Dr Susan's morning schedule?A. Dull.B. Tight.C. Flexible.D. Controversial.7. What can be inferred about Dr Susan from the last paragraph?A. She will set up a fitness foundation.B. She will soon return to retirement.C. She often thinks of her teenage years.D. She sets an example to her daughters.CMost animals living in crowded conditions have particularly strong immune systems, so it long puzzled researchers that honeybees do not.Part of the answer, discovered in 2015, is that queen bees vaccinate their eggs by moving parts of proteins from disease-causing pathogens to them before they are laid. These act as antigens totriggerthe development of a protective immune response in the developing young. But that observation raises the question of how the queen receives her antigen supply in the first place? Dr. Harwood wondered if the nurse bees were taking in parts of pathogens and passing them to royal jelly they were producing while eating the food brought to the hive.To test this idea, he teamed up with a group at theUniversityofHelsinki, inFinland, led by Dr Heli Salmela. Together, they collected about 150 nurse bees and divided them among six queenless mini hives equipped withbaby bees to look after. Instead of honey, they fed the nurses on sugar water, and for three of the hives they added P. larvae, a bacterium causing a hive-killing disease, to the sugar water.In this case, to stop such an infection happening, Dr Harwood and Dr Salmela heat-treated the pathogens and so killed them in advance. They also labelled the dead bacteria with a fluorescent dye, to track them easily. And, sure enough, it was confirmed that parts of P. larvae were getting into royal jelly released by those bees which had been fed with the sugar water containing that.All told, these findings suggest that nurse bees are indeed, through their royal jelly, passing antigens onto the queen for vaccinating her eggs. They also mean the nurses are vaccinating baby bees as well, because baby bees, too, receive royal jelly for the first few days after they come out.8. What does the underlined word “trigger" in Paragraph 2 probably mean?A. Cut out.B. Set off.C. Slow down.D. Put off.9. Which is the main experimental subject in Paragraph 3?A. Queen bees.B. Nurse bees.C. Bee eggs.D. Baby bees.10. Why was P. larvae added to the sugar water?A. To test if it would cause a hive-killing disease.B. To check how the bacterium would affect the hive.C. To see whether the target bees would favor the taste.D. To confirm the bees would pass pathogens to royal jelly.11. What is the text mainly about?A. How bees multiply.B. How antigens function.C. How bees get vaccinated.D. How immune system works.DA North Atlantic right whale calf(幼崽) was discovered dead on the beach of an island off North Carolina. The male newborn was found on North Core Banks, part of the Cape Lookout National Seashore. The reports indicate that the animal died during birth or shortly after, according to the National Oceanic and Atmospheric Administration(NOAA). Scientists took DNA to determine the calf’s mother.This is the beginning of the right whale’s reproduction(繁殖) season, which begins mid-November and runs through mid-April. NOAA called this death a disastrous start to the season. Each new right whale calf brings so much hope for this badly endangered animals, and losses like this have a great impact on their recovery, NOAAsaid.The right whale is one of the rarest marine mammals(哺乳动物) in the world, according to NOAA. They will soon be extinct unless something is done to save it, researchers warn. This kind of whale has been experiencing an Unusual Death Event over the past three years, according to NOAA. Since 2017, at least 32 dead and 13 seriously wounded whales have been documented by the organization. “This means more than 10 percent of the remaining population,” according to NOAA.NOAA posted a piece of news on Monday, the same day they announced the calf’s death, warning boaters to be watchful as the whales are migrating(迁徙) nearly 1,000 miles along the Atlantic Coast. The organization calls for boaters to be watchful, slow down and to give these endangered whales plenty of room. They also ask all fishermen to remove their unused nets from the ocean to help avoid possibledamage.12. Why did scientists take DNA of the calf?A. To save its mother.B. To confirm its identity.C. To determine the time of its death.D. To uncover the cause of its death.13. How many right whales are left according to the passage?A. About 40.B. About 50.C. About 400.D. About 500.14. What do we know aboutNorth Atlanticright whales?A. Their reproduction season usually last about half a year.B. They are the rarest marine mammals in the world.C. They are experiencing a high death rate of newborns.D. Their habitat runs nearly 1,000 miles along the coast.15. What’s the main purpose of the news posted on Monday?A. To announce the calf’s unusual death.B. To remind boaters to watch the whales.C. To protect the boats against the whales.D. To assist the whales’ seasonal migration.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
2021届华师附属高级中学高三英语第三次联考试题及参考答案
2021届华师附属高级中学高三英语第三次联考试题及参考答案第一部分阅读（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A、B、C、D四个选项中选出最佳选项ANew events and changes of junior golf competition calendarNew eventsNotah BegayⅢJunior Golf National ChampionshipWhat does a junior golfer aim to pursue? One thing is to be noticed, ideally by a college coach. A remarkable opportunity will be offered by the Notah BegayⅢJunior Golf National Championship to its participants: an event broadcast by Golf Channel. Players aged between eight and 18 can compete in the new event; information about where and when it will be held will be released later.Barbasol Junior ChampionshipBeginning the career in the PGA Tour is something that a junior golfer tends to dream of. The Barbasol Junior Championship, which is scheduled to take place between June 29 and July 2 at Keene Trace Golf Club inNicholasville,Kentucky, will provide such an opportunity. Boys under 19 years old will qualify for this new 54-hole event, and the winner will be awarded a spot at the PGA Tour's Barbasol Championship in July.Changed eventsThunderbird International JuniorThe dates of the AJGA's Thunderbird International Junior have to be changed since the NCAA Championships move to Grayhawk Golf Club inScottsdale,Arizona, for the next three years. Generally, the Thunderbird is played at the end of May. However, this year it is scheduled on different dates for the first time, from April 9 to 12, which means, of course, that the finish date is on Masters Sunday.Gator InvitationalJunior golf intends to prepare for the following college golf. If this is the case, then it is crucial to simulate the higher-level experience as much as possible. Because of that, the Gator Invitational, as a junior boys' event, has made a significant decision on becoming a 54-hole event by adding a round this year. The new version will be played from March 13 to 15 at The Country Club of Jackson inJackson,Mississippi.1. Which event can be watched on TV?A. Notah BegayⅢJunior Golf National Championship.B. Barbasol Junior Championship.C. Thunderbird International Junior.D. Gator Invitational.2. When will the Thunderbird International Junior be played?A. At the end of May.B. From April 9 to 12.C. Between June 29and July 2.D. From March 13 to 15.3. What has been changed about the Gator Invitational?A. The award given to the winnerB. The place where it is played.C. The required age of the players.D. The number of rounds it has.BSome years ago I was offered a writing assignment that would require three months of travel through Europe.I had been abroad a couple of times, but I could hardly claim to know my way around the continent. Moreover, my knowledge of foreign languages was limited to a little college French.I hesitated. How would I, unable to speak the language, totally unfamiliar with local geography or transportation system？It seemed impossible, and with considerable regret. Suddenly a thought ran through my mind: you can't learn if you don't try. So I accepted the assignment.There were some bad moments. But by the time I had finished the trip I was an experienced traveler. And ever since, I have never hesitated to head for even the most remote of places, without guides or even advanced bookings, confident that somehow I will manage.The point is that the new, along with the different, is almost scary by definition. But each time you try something, you learn, and as the learning piles up, the world opens to you.I've learned to ski at 40, and flown up the Rhine River in a balloon. And I know I'll go on doing such things. It's not because I'm braver or more daring than others. I'm not. But I'll accept anxiety as another name for challenge and I believe I can accomplish wonders.4. The author accepted the assignment because_________.A. he had never travelled abroad beforeB. he hardly knew any foreign languagesC. he was familiar with any other country in EuropeD. he would learn something new and different by trying5. Which of the following statements is TRUE？A. The author had been abroad only twice.B. The author thought the trip was hard but worthwhile.C. The author admitted that anything different was terrible.D. The author must be good at doing research and making interviews.6. We can infer from the text that the author is_______.A. awkwardB. generousC. stubbornD. brave7. What's the best title of the text？A. An Interesting Trip AbroadB. My First Writing AssignmentC. Ready to Try and ChallengeD. How to Be Daring and Brave.CA new study finds almost one third of the world’s population is overweight. Since 1980, obesity rates(肥胖率)in children and adults have doubled in 73 countries, making people more worried. And rates are increasing in many other countries. Obesity is increasing faster in children than adults in many nations, including Algeria, Turkey and Jordan, the report said. But the world's weight problem is growing in both rich and poor countries alike. Researchers say an increasing number of people are dying of related health problems in what they called a "disturbing global public health problem."Researchers studied health information from 1980 through 2015. They examined obesity rates, average weight gain in 195 countries. They found that obesity rates are three times greater among youth and young adults in countries like China, Brazil and India. Almost 108 million children and more than 600 million adults were found to be overweight. Egypt had the highest number of overweight adults in 2015. Vietnam had the least. In the same year, the United States had the highest number of overweight children, and Bangladesh had the least.Yet hunger remains a problem in many areas. The United Nations said that almost 800 million people, including 300 million children, go to bed hungry each night. Experts said poor diets and lack of physical activity are mainly to blame for the rising numbers of overweight people.Growing populations have led to rising obesity rates in poor countries. Often, poor people will eat processed(加工的) foods instead of choosing a diet rich in vegetables.The London-based Overseas Development Institute studied the price of food in five countries: Britain, Brazil, China, Mexico and South Korea. It found that the cost of processed foods like ice creamand hamburgers has fallen since 1990. But the cost of fresh fruits and vegetables has gone up.8. What do we know about obesity in the world?A. It is worryingB. It is given no attentionC. It has been successfully solvedD. It is more serious among old people9. Which country has the most overweight children in 2015?A. AmericaB. VietnamC. EgyptD. Bangladesh10. What is one of the reasons why people get overweight?A. HungerB. Poor dietC. Diets with vegetablesD. Eating too much fruit11. Which ofthe following can be the best title for the text?A. It’s Important to Have a Balanced DietB. How Can We Lose Weight and Keep Fit?C. Is It Necessary for Us to Eat Fresh Vegetables?D. Nearly One Third of People in the World Are Overweight.DIn a study published in Nature Machine Intelligence, researchers at Ohio State University show how artificial intelligence（AI）can follow clinical trials to identify drugs for repurposing, a solution that can help advance innovative treatments.Repurposing drugs is legal and not unusual. When doctors prescribe(开处方)drugs that have been approved by the Food and Drug Administration(FDA)for purposes different from what is printed on the labels, the drugs are being used “off-label” Just because a drug is FDA-approved for a specific type of disease does not prevent it from having possible benefits for other purposes.For example, Metformin, a drug that is FDA-approved for treating type 2 diabetes, is also used to treat PCOS(a disease of women), and other diseases. Trazodone, an anti-depressant with FDA-approval to treat depression, is also prescribed by doctors to help treat patients with sleep issues.The Ohio State University research team created an AI deep learning model for predicting treatment probability with patient data including the treatment, outcomes, and potential confounders(干扰因素).Confounders are related to the exposure and outcome. For example, a connection is identified between music festivals and increases in skin rashes(红疹). Music festivals do not directly cause skin rashes. In this case, one possible confounding factor between the two may be outdoor heat, as music festivals tend to run outdoors when the temperature is high, and heat is a known cause for rashes. When working with real-world data,confounders could number in the thousands. AI deep learning is well-suited to find patterns in the complexity of potentially thousands of confounders.The researcher team used confounders including population data and co-prescribed drugs. With this proof-of-concept, now clinicians have a powerful AI tool to rapidly discover new treatments by repurposing existing medications.12. What do we know about a drug used off-label?A. It is sold without a label.B. It is available at a low price.C. Its uses extend beyond the original ones.D. Its clinical trials are rejected by doctors.13. Metformin and Trazodone are similar as both of them________.A. are used off-labelB. treat rare diseasesC. result in sleep issuesD. are medical breakthroughs14. What can be inferred about “confounders”?A. They are possible treatments.B. They are environmental factors.C. They can be easily recognized in real-world data.D. They should be taken into serious consideration.15. What is the main idea of the text?A. AI examines benefits of existing drugs.B. AI identifies off-label uses for drugs.C. AI finds new drugs for common diseases.D. AI proves the power of drug research.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
2021届华东师范大学第三附属中学高三英语第三次联考试卷及参考答案
2021届华东师范大学第三附属中学高三英语第三次联考试卷及参考答案第一部分阅读（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A、B、C、D四个选项中选出最佳选项ALocated in the beautiful Sichuan Basin, Chongqing is a magical 8D city. The natural history and cultural scenery of the area provide children with learning opportunities because they can enjoy the many wonders of this area.Fengjie Tiankeng Ground JointTiankeng Diqiao Scenic Area is located in the southern mountainous area of Fengjie County. The Tiankeng pit is 666 meters deep and is currently the deepest tiankeng in the world. The scenic spot is divided into ten areas including Xiaozhai Tiankeng, Tianjingxia Ground, Labyrinth River, and Longqiao River. There are many and weird karst cave shafts, and countless legends haunt them.Youyang Peach GardenYouyang Taohuayuan Scenic Area is a national forest park, a national 5A-level scenic spot, and a national outdoor sports training base. Located in the hinterland of Wuling Mountain. The Fuxi Cave in the scenic spot is about 3,000 meters long, with winding corridors, deep underground rivers, and color1 ful stalactites. The landscape is beautiful.Jinyun Mountain National Nature ReserveJinyun Mountain is located in Beibei District of Chongqing City, about 45 kilometers away from the Central District of Chongqing City. The nine peaks of Jinyun Mountain stand upright and rise from the ground. The ancient trees on the mountain are towering, the green bamboos form the forest, the environment is quiet, and the scenery is beautiful, so it is called "Little Emei". Among them, Yujian Peak is the highest, 1050 meters above sea level; Lion Peak is the most precipitous and spectacular, and the other peaks are also unique.Chongqing People's SquareChongqing's Great Hall of the People, one of the landmarks of Chongqing, gives people the deepest impression than its magnificent appearance resembling the Temple of Heaven. It also uses the traditional method of central axis symmetry, with colonnade-style double wings and a tower ending, plus a large green glazed roof, large red pillars, white railings, double-eave bucket arches, and painted carved beams.1.How deep is the Tiankeng Ground Joint?A.666mB.3,000mC.45kmD.1050m2.Which of the following rocks can you see in Youyang Peach Garden?A.LimestoneB.StalactiteC.MarbleD.Quartzite3.Which attraction is closest to downtown Chongqing?A.Fengjie Tiankeng Ground JointB.Jinyun Mountain National Nature ReserveC.Chongqing People's SquareD.Youyang Peach GardenBPut your hand over your heart and sit very still. You may notice that the sound of your heartbeat is similar to the beat of a drum. Your heart starts beating before you are born and continues throughout your life. For this reason, the beating of a drum stands for the rhythm of life for many people around the world.InGhana, a country inAfrica, many schools use drums instead of bells to show the beginning and ending of class. Through the drum, the children ofGhanaalso learn about their history and culture. They hear old stories passed on through the music of the drum. The stories of the drum also teach children games, rules and lessons about behavior.For thousands of years inAfrica, drums have been used to tell stories of daily life and history. Drums told the coming of a king, the start of a war, or the birth of a child. They also allowed people to share messages. But how does a drum tell a story?InWest Africa, the most common drum used for communication is called a “talking drum”. By making higher orlower drum sounds, the drummer can make the drum “talk”.In many African languages, words go up and down in pitch (高音) when they are spoken, almost like a song. Depending on the pitch or tone (音调), the same sound can have many different meanings. For example, when spoken with two low tones, the African word “ilu” means “drum”. When spoken with one high and one low tone, “ilu” means “town”.Drum language works in the same way. Just as in spoken language, the word “ilu” has different meanings depending on how it’s drummed. When “ilu” is drummed with two beats using low tones, the word means “drum”. When “ilu” is drummed with two beats using one high and one low tone, it means “town”.Drummers create “words” to build ideas, sentences and stories. The next time you hear a song, listen for theheartbeat within the music. Can you hear the story of the drum?4. The first paragraph mainly tells us________.A. drums beat like our heartsB. drums have a long historyC. drums are widely used in the worldD. drums are important for many people worldwide5. From the text, we learn that inGhanadrums________.A. are not as useful as beforeB. teach children a lot of thingsC. help bring the war to an endD. are used in class by teachers6. The example of the African word “ilu” is used to show________.A. how a word can have different soundsB. how to speak African languagesC. how a drum tells storiesD. how to beat a drum7. What would be the best title for the text?A. Know the history of the drumB. Listen to the story of the drumC. Beat the drum of lifeD. Love me, love my drumCIn a study published in Nature Machine Intelligence, researchers at Ohio State University show how artificial intelligence（AI）can follow clinical trials to identify drugs for repurposing, a solution that can help advance innovative treatments.Repurposing drugs is legal and not unusual. When doctors prescribe(开处方)drugs that have been approved by the Food and Drug Administration(FDA)for purposes different from what is printed on the labels, the drugs are being used “off-label” Just because a drug is FDA-approved for a specific type of disease does not prevent it from having possible benefits for other purposes.For example, Metformin, a drug that is FDA-approved for treating type 2 diabetes, is also used to treat PCOS(a disease of women), and other diseases. Trazodone, an anti-depressant with FDA-approval to treat depression, is also prescribed by doctors to help treat patients with sleep issues.The Ohio State University research team created an AI deep learning model for predicting treatment probability with patient data including the treatment, outcomes, and potential confounders(干扰因素).Confounders are related to the exposure and outcome. For example, a connection is identified between music festivals and increases in skin rashes(红疹). Music festivals do not directly cause skin rashes. In this case, one possible confounding factor between the two may be outdoor heat, as music festivals tend to run outdoors when the temperature is high, and heat is a known cause for rashes. When working with real-world data, confounders could number in the thousands. AI deep learning is well-suited to find patterns in the complexity of potentially thousands of confounders.The researcher team used confounders including population data and co-prescribed drugs. With this proof-of-concept, now clinicians have a powerful AI tool to rapidly discover new treatments by repurposing existing medications.8. What do we know about a drug used off-label?A. It is sold without a label.B. It is available at a low price.C. Its uses extend beyond the original ones.D. Its clinical trials are rejected by doctors.9. Metformin and Trazodone are similar as both of them________.A. are used off-labelB. treat rare diseasesC. result in sleep issuesD. are medical breakthroughs10. What can be inferred about “confounders”?A. They are possible treatments.B. They are environmental factors.C. They can be easily recognized in real-world data.D. They should be taken into serious consideration.11. What is the main idea of the text?A. AI examines benefits of existing drugs.B. AI identifies off-label uses for drugs.C. AI finds new drugs for common diseases.D. AI proves the power of drug research.DIt is that time of year when people need to lock their cars. It’ s not because there are a lot of criminals running around stealing cars. Rather, it’ s because of the good-hearted neighbors who want to share their harvest. Especially with this year’s large crop, leaving a car unlocked in my neighborhood is an invitation for someone to stuff it full of zucchini(西葫芦).My sister-in-law, Sharon, recently had a good year for tomatoes. She and her family had eaten and canned so many that they began to feel their skin turn slightly red. That ’ s when she decided it was time to share herblessings.She started calling everyone she knew. When that failed, she began to ask everyone in the neighborhood like a politician, eventually finding a neighbor delighted to have the tomatoes. “ Feel free to take whatever you want,”Sharontold her. She felt happy that she could help someone and that the food didn’t go to waste.A few days later,Sharonanswered the door. There was the neighbor, holding some bread. The neighbor smiled pleasantly, “I want to thank you for all of the tomatoes, and I have to admit that I took a few other things and hope you wouldn’t mind.”Sharoncouldn’t think of anything else in her garden that had been worth harvesting and said so. “Oh, but you did,” the neighbor said. “You had some of the prettiest zucchini I’ve ever seen.”Sharonwas confused. Zucchini in her garden? They hadn’ t even planted any zucchini. But her neighbor insisted that there really were bright-green zucchini in her garden. The two of them walked together into the backyard. When the neighbor pointed at the long green vegetables,Sharonsmiled, “ Well, actually, those are cucumbers that we never harvested, because they got too big, soft and bitter for eating or canning.”The neighbor looked atSharon, shock written all over her face. Then she smiled, and held out the bread that she had shared all over the neighborhood, “I brought you a loaf of cucumber bread. I hope you like it.”12. Why does the author suggest that people in the neighborhood should lock their cars?A. They might be stolen by thieves.B. They might be moved away by the police.C. Their neighbors might fill them with their harvest.D. Their neighbors might throw rubbish in them.13. What does the underlined word “blessings” in the second paragraph mean?A. Tomatoes.B. God’s protection.C.Helpful things.D. Best wishes.14. What did the neighbor do inSharon’s garden?A. She harvested tomatoes only.B. She harvested zucchini by accident.C. She took some cucumbers mistakenly.D. She stole something withoutSharon’s permission.15. We can infer from the article that the neighbor’s bread would taste________.A. bitter but tastyB. strange and bitterC. hard and sourD. soft and sweet第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
2021届华师附属高级中学高三英语第三次联考试卷及答案
2021届华师附属高级中学高三英语第三次联考试卷及答案第一部分阅读（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A、B、C、D四个选项中选出最佳选项AUNUSUAL ATTRACTIONS ON THE WATERBangkokFloating MarketsThere are many floating markets where goods are sold from boats. While modem markets are more popular, floating markets still are huge attractions for local tourism. In Bangkok Floating Markets,Thailand, one of the most popular ones, any visitors can buy local foods and traditional hand-made souvenirs.Bregenzer Festspiele（Opera festival）The Bregenz Festival is held every year from July to August inVorarlberg,Austria. It has the world's largest stage on the water. The performances are different every year but they are usually united by one theme. The decorations（装饰）are very impressive and are worth seeing.Viva, ArtificialIslandArtificial islands are not something new. What makes this island special is that . it is floating. Viva is the largest out of three man-made islands along with Vista and Tera, all situated inSeoul,South Korea. The island weighs 2,000-tons and is technically a buoy（浮标）.The island unfortunately is not carbon-neutral（碳中和）but it has solar panels which can generate electricity to power the hall, restaurants and shopping malls. MarinaBayFloating Platform StadiumThis stadium was built as a temporary solution while Singapore National Stadium was rebuilt. Now it is usedfor different sporting events, concerts, and festivals. In particular, it was once used for the opening and closing ceremonies during the 2010 Summer Youth Olympics.1. What can visitors do at Bangkok Floating Markets?A. Performing.B.Boating.C. Shopping.D. Swimming.2. What do you know about Viva?A. It is the biggest island inSouth Korea.B. It has the equipment to harness solar energy.C. It is the largest floating stage on the water.D. It is a man-made island only for low-carbon life.3. Which attraction should you choose to watch a basketball match?A. Bangkok Floating Markets.B. Bregenzer Festspiele.C. Viva, ArtificialIsland.D.MarinaBayFloating Platform Stadium.BIn May this year, as part of our 150th anniversary, we asked readers aged between18 and 25 to enter an essay competition. The task was to tell us, in no more than 1,000 words, what scientific advance they would most like to see in their lifetimes, and why it mattered to them.The response was phenomenal: we received 661 entries. Some entrants hoped that science would make their lifetimes much longer than they can currently expect. Many looked forward to work that will end climate change. Others wanted to see advances in our understanding of human history, crop growth, space exploration, and medical technologies. The ideas were inspiring.The winner is a compelling essay by Yasmin Ali, a PhD student at the University of Nottingham, UK. Ali submitted a piece on Beethoven, her brother’s hearing loss and the science which she hoped would one day cure it. It stood out to the judges as a reminder of why many scientists do research: to make the world better tomorrow than it is today.All essays were judged by a group of Nature editors. The top ten submissions were then ranked by three members of a separate judging group: Magdalena Skipper, editor-in-chief of Nature; Faith Osier, a researcher; and Jess Wade, a physicist. All submissions were kept anonymous throughout the process.We also selected two runners-up(非冠军的获奖者).Physicist Robert Schittkoat Harvard University in Cambridge, Massachusetts, proposes that nuclear fusion(核聚变) could offer a solution to the climate crisis, in a piece that effortlessly mixes grand ambition with gentle humour. And chemist Matthew Zajac at the University of Chicagoin Illinois wrote a powerful personal account of why he wants to see advances in the field of same-sex reproduction.The results show that today’s young scientists have a wealth of ideas, talent and conviction that research can transform their world. We look forward to seeing what they do next.4. What’s the essay competition about?A. The scientific expectation.B. The fantastic scientific ideas.C. The dreams of future life.D. The celebration of anniversary.5. Why Yasmin Ali was chosen the winner?A. She showed great talent in music.B. She found the cure for the loss of hearing.C. She appealed for people to care about hearing loss problem.D. She reminded people to remember the meaning of science development.6. What can we learn about the result of the essay competition?A. Robert Schittko won the second place.B. There were two winners in the essay competition.C. Matthew Zajac presented his view of same-sex reproduction.D. The two runners-up were selected for the same field they chose.7. What isthe author’s attitude to the competitors’ ideas about science expectations?A. Doubtful.B. Favorable.C. Impossible.D. Ignorant.CAfter years of releasing e-readers that compete directly with Amazon’s Kindle, Rakuten Kobo’s latest device offers something totally different: theability to draw and write directly on the screen.With a large 10.3-inch E-ink display, the Kobo Elipsa looks more like an electronic clipboard than the standard paperpack-sized e-reader. Although the ability to write on the screen is no big deal — especially given its high price tag of $ 600 — the overall package is impressively functional.In terms of reading, the Elipsa packs just about everything you’d expect in a Kobo. You can purchase and download books from the store, read web articles you’ve saved online via Pocket, and connect to your local library to borrow e-books and magazines. It’s known that Kindle basically requires you to buy books from Amazon. Unlike Kindles, Kobos are pretty open with the formats they support; you can connect the Elipsa to a computer and transfer over any PDF books you have bought or downloaded from stores like Booktopia or Google Books.You can fill your virtual notepads with notes using brush and pen types, and export them as PDFs or imagesto a PC. There’s also an “advanced” notebook that can turn your writing into typed and editable text for exporting to Microsoft Word format. You can also write directly onto documents themselves, with all your word circling and underlining saved as you go to review later. This is especially handy when it comes to PDFs, as changes you make are synced（同步）automatically when you have Wi-Fi, so you can move between your Elipsa, PC and phone and keep your notes.With all that said, we can see it really appealing to e-reader fans who also tend to do a lot of work on paper. If you ever print things out to mark them up, fill notepads with writing or drawing that you later have to transcribe or scan, or just wish you could write all over your library books, this could be the device for you.8. Which of the following best describes the Elipsa?A. Automatic.B. Traditional.C. Useful.D. Standard.9. How is a Kobo different from a Kindle in reading?A. A Kindle has a larger screen.B. A Kindle can support more formats.C. A Kobo supports books from various sources.D. A Kobo should be connected to local libraries.10. What does paragraph 4 mainly tell us about Kobos?A Their function in syncing. B. Their function in typing.C. Their function in writing.D. Their function in reading.11. In which section of a newspaper can the text probably be found?A. Education.B. Technology.C. Lifestyle.D. Business.DNewspapers in Great Britainvarygreatly in their ways of carrying the news. There are serious papers for those who want to know about important happenings everywhere, both at home and abroad. There are popular newspapers for those who prefer entertainment to information.The London newspaper that is best known outside Great Britain is probably the Times. It began in 1785, and has a high reputation for believable news and serious opinions on the news. It calls itself an independent paper, which means that it does not give its support to a particular political party. Its leading articles give the opinions of the editors, not those of the owners of the paper.Letters to the editor are printed in the newspaper. These parts of the Times are always interesting. Most ofthe letters are serious subjects. But from time to time there will be long letters on the subject which is not at all serious, perhaps on a new fashion of dress, or the bad manners of the young people, compared with manners of thirty years ago.12. If you want to get pleasure, please buy yourself _________.A. a serious newspaperB. foreign newspaperC. any independent paperD. a popular newspaper13. The Times has been famous to outside Great Britain for ________ years.A. 19B. 85C. 236D. 22914. The Times is an independent paper because ________.A. it supports no political partiesB. it is not controlled by the British GovernmentC. it gives special support to all the political parties.D. the editor’s opinions are not examined by the owners of the paper15. The underlined word “vary” in the passage probably means “_________”.A. improveB. compete with each otherC. are differentD. keep in touch with each other第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
2021年华南师范大学附属中学高三英语第三次联考试题及参考答案
2021年华南师范大学附属中学高三英语第三次联考试题及参考答案第一部分阅读（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A、B、C、D四个选项中选出最佳选项AThe OrchardI had a very nice meal at the Orchard restaurant．The food was lovely and the service was quite good．We chose to eat in the garden which was full of beautiful flowers and very relaxing．The only disappointment was the dessert — the apple piewas far too sweet and it was cold too．Apart from that it was an enjoyable evening．As for the price — what a bargain，excellent value for money！Park InnThe best thing about Park Inn was the service — it was excellent．There was a warm welcome when we arrived and the waiters were very helpful all evening．However，the food wasn’t as good．The menu looked interesting but the meals were rather tasteless．It’s not a cheap restaurant and I wasn’t happy to pay so much for boring food．Richard’s PlaceWhen we enteredthe restaurant，we were surprised by the lovely interior (内部的) design of it．So stylish，so modern！This is one of the most popular restaurants in town and it’s very easy to see why．The food was great and excellent value for money but it was ruined by very，very poor service！TheRiversideIt was lovely sitting outside and looking over the river．There were lots of little lanterns (灯笼) and color1 ed lights everywhere and it all looked very pretty．The food was good，nothing very special but quite tasty．The service was OK; we didn’t have to wait too long for our food but the waiter never looked very happy！It’s quite an expensive place but with the view I think it’s quite good value for money．1. In which restaurant can customers eat in the garden？A. Park Inn．B. TheOrchard．C. The Riverside．D. Richard’s Place．2. What makes the customers of Park Inn most satisfied？A. The food．B. The price．C. The service．D. The environment．3. In Richard’s Place，customers can ________．A. receive good serviceB. enjoy its moderndesignC. listen to wonderful musicD. enjoy the beauty of a riverBA study has found that a lifetime of regular exercise and activity can slow down the aging process (衰老过程). Researchers say that getting older should not necessarily mean becoming more weak or sick. Their research shows that a devotion to a life of movement and exercise may help us live not only longer, but also healthier.For their study, the researchers looked at two groups. The first group was made up of 125 non-professional cyclists between the ages of 55 to 79. This group included 84 healthy men and 41 healthy women. We will call this group the “cyclists”.Researchers then found 130 people to make up a second group. Within this group, 75 people were aged from 57 to 80. The other 55 were between the ages of 20 and 36. The people in this group were also healthy, but they did not exercise regularly. We will call this group the “non-exercisers”. Smokers, heavy drinkers of alcohol and people with other health issues were not included in the study.Then, researchers gave both groups a series of tests. They tested their muscle mass (肌肉质量), muscular strength, percentage of body fat and the strength of their immune (免疫的) systems. Then the researchers compared the results of the two groups.Results showed that the cyclists did not experience body changes usually regarded as a normal aging process. For example, they did not lose muscle mass or muscular strength. Also, their body fat did not increase with age.The researchers also found something they had not expected. The study showed that the immune systems of the cyclists did not age either.The researchers advise us all to find an exercise that we like in our lives.4. How did the researchers carry out the study?A. By comparing.B. By discussing.C. By imagining.D. By reasoning.5. Which of the following is a result of the research?A. The cyclists kept a thin body shape.B. The non-exercisers gained weight easily.C. The cyclists’ muscles remained strong with age.D. The non-exercisers usually had health problems.6. Which is an unexpected result for the researchers?A. The cyclists had normal aging process.B. The cyclists’ immune systems didn’t age.C. The cyclists lost nearly all their fat.D. Everyone needed an exercise in their lives.7. Which of the following can be the best title for the text?A. Healthy People Need More ExerciseB. Take an Exercise, the Harder, the BetterC. Cycling Is the Best Way to Prevent AgingD. A Lifetime of Exercise Slows Aging ProcessCIs renting clothes greener than buying them? Sustainable (可持续的) fashion expert Elizabeth Cline isn’t sure. Clothing renting is a hot new industry and businessmen are trying to attract shoppers who care about the environment. Last summer alone,Urban Outfitters, Macy’s, Bloomingdale’s American EagleandBanana Republicall announced renting services – a sure sign of changing times.But is renting fashion actually more environmentally-friendly than buying it? And if so, how much more? Journalist and author Elizabeth Cline researched this question in a feature article for Elle, and she concluded that it’s not as sustainable as it seems.Take shipping for example, which has to go two ways if an item is rented – receiving and returning. Cline writes that consumer transportation has the second largest carbon footprint of our collective fashion habit after manufacturing.Then there’s the burden of washing, which has to happen for every item when it’s returned, regardless of whether or not it was worn. For most renting services, this usually means dry-cleaning, which is a polluting process. All the renting services that Cline looked into have replaced perchloroethylene, a carcinogenic (致癌的) air pollutants that’s still used by 70 percent of US dry cleaners, with hydrocarbon (碳氢化合物) alternatives, although these aren’t great either. They can produce harmful waste and air pollution if not handled correctly.Lastly, Cline fears that renting services will increase our appetite for fast fashion, simply because it’s so easily accessible. There’s something called “share-washing” that makes people have more wasteful behaviors because a product or service is shared and thus is considered more eco-friendly. Uber is one example of this: advertised as a way to share rides and reduce car ownership, and yet it has been proven to discourage walking, bicycling and public transportation use.Renting clothes is still preferable to buying them cheap and throwing them into the bin after wearing them a few times, but we shouldn’t let the availability of these services make us self-satisfied. There’s an even better step – and that’s wearing what we already have.8. What do we know about Elizabeth Cline from the passage?A. She is trying to attract shoppers.B. She is an expert and journalist.C. She has created “share-washing”.D. She never rents clothes.9. Why does renting services increase people’s appetite for fast fashion?A. Because it is handled correctly.B. Because it is transported easily.C. Because it is fairly eco-friendly.D. Because it is easily accessible.10. What can we infer from the passage?A. Clothing renting became popular ten years ago.B. Consumer transportation has the largest carbon footprint.C. Renting clothes deserves further consideration.D. Uber is a good example of sharing rides.11. Which section of a newspaper does the text probably come from?A. Environment.B. Technology.C. Travel.D. Medicine.DA single toy catches a child's attention for a limited period of time, but a box of items that allows a child to build their own toys will catch their imagination for years to come. This brilliant idea already exists in real product form, and it's called Toyi.Toyi is described as an eco-friendly creative building kit, and it recently won the well-known IF Design Award. It came from Istanbul, Turkish, where a young female designer named Elif Atmaca first came up with the idea for it when she wanted to help the kids living in disadvantaged areas. These children do not have access to the variety of interesting toys that wealthier children do.Toyi Atmaca's design allows children to transform what are around them into clever toys. It consists of sticks, junction parts, flexible connectors, toy body parts like feet, eyes, hands, and wheels that can be used to turn old water bottles, cups, boxes, towels, etc. into cute, clever, and unique playthings. This toy kit upcycles(升级利用) materials that would otherwise go to waste, turning a recycling bin into a treasure container.“Our initial target was to deliver Toyi kits to only disadvantaged children in Turkish,” Atmaca told the media.But during a research conducted with around300 children, .she realized that the restriction on being creative went beyond any boundary. “I saw that everything was planned and shaped by grown-ups, blocking the kids' imagination in a significant way,” said Atmaca.Atmaca concluded that each kid needed space where he or she could freely create. She explained the entire process should be left to kids’ creativity, reminding teachers and all grown-ups that child-led play was an excellent way for children to develop lifelong skills.Toyi's creators are now considering distributing the kits to as many children as possible around the world through different international NGOs. Atmaca notes that for each Toyi kit sold out, they will also donate one kit toa disadvantaged child through different partnerships around the world.12. Why did Atmaca design Toyi at first?A. To win the famous IF Design Award.B. To help poor kids make their own toys.C. To protect the environment in Istanbul.D. To recycle all the waste in the dustbin.13. Which is probably the product made with the toy kit of Toyi?A. A new picture of a young boy.B. A computer with high technology.C. A treasure container from a dustbin:D. A six-armed “robot” from a water bottle.14. How do the toy kits help improve the children's ability?A. It provides the kids various types of toys.B. It offers space for the kids’ creative minds.C. It changes the poor kids' living conditions.D. It teaches the kids to share joys with others.15. What is the new target for Atmaca and her partners?A. Donating toykits to more poor children.B. Selling toy kits to every kid in the world.C. Designing new toy kits for kids and adults.D. Doing further research on the kids' demands.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
2021届华南师范大学中山附属中学高三英语第三次联考试题及答案
2021届华南师范大学中山附属中学高三英语第三次联考试题及答案第一部分阅读（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A、B、C、D四个选项中选出最佳选项AIt's time to put your two-wheeler to good use on these fun bike paths — each varying in distance and difficulty. Just choose one fit for you.• Paulinskill Valley TrailCheck out Paulinskill Valley Trail, filled with forests, wetlands, and small townsalong this 25- mile route. While the trail is mostly flat, you can do a quick ride. You're likely to catch sight of beautiful birds, considering more than 100 species find a home in the land near the path. Check out the trail in the fall - prime time for pretty sights.•AlaHele MakalaeOn theislandofKaui, you'll find a bike path with lots of beachy views that'll leave you feeling accomplished yet calm. The name translates to “The Path that Goes By Coast,” and, as you might guess, the seven-mile path hugs the shoreline. Start early enough and you'll witness an incredible sunrise to make it even more amazing,• TheCheaha RouteThis ride covers up to 126 miles, with steep climbs and extreme downhills along the way. So prepare for a thrilling ride - one that’s not necessarily for the inexperienced or those looking for an easy, casual ride. Along the route, you'll pedal through five towns. The journey is worth it, though, because you get some of the most scenic views in the state.• The Whitefish TrailFamous for its countless route options, whether you’re a new biker looking for smooth tracks or you have more experience and want to play around on rocky, more technical land, this bike path brings in lots of visitors. The 43-mile route offers beautiful green scenery. Around every comer, you’ll see a new jaw-dropping landscape, from glassy lakes to green mountains.1. When is the best time to visit Paulinskill Valley Trail?A. In Autumn.B. All year round.C. On early mornings.D. On sunny days.2. Which route is not fit for someone new to cycling?A. The Whitefish Trail.B. Ala Hele Makalae.C. Paulinskill Valley Trail.D. TheCheaha Route.3. What's the common feature of the four routes?A. They are full of challenges.B. Various route options are offered.C. They have beautiful scenery.D. Different species can be found there.BDid you know that horses talk? Well, they do, and you can lean to understand “horse talk” if you pay close attention to the horses you see.When horses live in the wild, other animals try to eat them, so a lot of horse talk is about staying alive. Even now, when most horses live on farms, they watch for danger. For this reason, never walk behind a horse. If you surprise it, the horse might mistake you for a mountain lion or wolf and give a dangerous kick.By watching the ears of a horse, you can get clues to what it's hearing. A horse can tum each ear in a different direction. For a wild horse, this trick is important for survival. The horse can hear something sneaking up behind it while also checking out a threatening noise in front. When a horse lets its ears down, it's feeling safe and relaxed. If horses becomeisolated, they neigh, or “whinny,” calling for company. They're saying, “Where are you? I'm over here!” If a horse snorts(哼) while holding its head high and staring at something, it's saying, “That looks dangerous. Get ready to run!” When two horses meet, they put their noses together and smell each other's breath. It's their way of asking, “Are you a friend?” Horses nicker,too. Nickering is a quiet sort of sound. This friendly noise means they're feeling secure and saying, “Clad to see you.”In the wild, horses live in herds, with all members watching for danger. In a herd, only one horse is the leader, the “boss hoss”. The “boss hoss” is usually an older female. She watches for threats and teaches younger horses how to behave. However, others may want her job. When that happens, she pins her ears back against her head and may even bite or kick to get challengers to back off. She's using body language to say, “Hey, I'm in charge here!” All horses know that the one who makes others move is the leader. Horses relate to people that way, too.Horses have a language of their own. Now you know a bit of what they might be saying.4. What is the general idea of this passage?A. Horses can talk with their owners.B. You can know a bit of horses' language.C. Horses can “talk” in their own way.D. Other animals can also learn language.5. What does the underlined word “isolated” in Paragraph 3 mean?A. Lonely.B. Glad.C. Sad.D. Frightened.6. What will a horse do when he wants to know whether another horse is a friend?A. He will let his ears down.B. He and another horse will put their noses together and smell each other's breath.C They both will hold their heads high and stare at something.D. He will give another horse a dangerous kick.7. How will the “boss hoss” deal with her challengers?A. By warning or fighting.B. By watching for threats.C. By teaching younger horses how to behave.D. By relating to people.CIt is essential that students have a category of school-related activities they can participate in. These activities can range from activities during normal school hours to after-school activities. No matter the time, these activities should be available to every student, and at Victory Pioneers International Schools (V.P.I.S) it is encouraged that every student participate in at least one activity, educational and recreational.One of the primary reasons school activities are important at V.P.I.S. is because it gives students the exercise they might not normally receive. Most popularly, these types of activities include major sports such as football, basketball, baseball, tennis, track and field and soccer but also might include gymnasium games and other games.Activities during V.P.I.S. also make a good impression on colleges if students are planning to pursue more education. Colleges look for students who do not just go to school and go home after school. These activities range from participating in clubs and sports to volunteering after school at a recreation center or having a part-time job. If a college sees you maintained good grades while participating in these activities, it will be impressed.V.P.I.S. activities also allow students to be creative. Gifted-and-talented activities allow gifted students to participate in what they otherwise would never have experienced in the classroom. They are a great way to allow students to be creative. Additionally, participating in clubs such as drama that appeal to students’ interest also allows them to expand their knowledge and be creative.Students also can have their interests expanded by participating in activities. These activities could consist ofanything, such as joining the Future Business Leaders, the school’s debate team and the chess team, to name a few. By participating in these activities, a student might realize he is interested in something he never knew he was interested in before.8. What can we learn about activities at V.P.I.S.?A. Not every student has access to them.B. Students are required to take part in them after school.C. They give students exercise that might not be got in other schools.D. Educational activities are more popular with the students.9. What benefits can the students get from the activities?A. They can get extra grades when applying for colleges.B. They will become more gifted and talented .C. They may expand their knowledge in drama.D. They may better know their own interests.10. Which of the following is a suitable title for the passage?A. The Benefits of V.P.I.S. ActivitiesB. School-related Activities at V.P.I.S.C. Colleges Need Creative StudentsD. Activities Make You Creative11. Where is the passage probably from?A. A scientific magazine.B. A college application guideline.C. A club introduction.D. The website of V.P.I.S.DPhotographer Rebecca Douglas has always been fascinated by the night sky. Her love for stars has taken theU.K.resident on “star walking” trips toIcelandand into theArctic, where she steps out onto darkened trails to capture twinkling stars and glowing planets in her images.Hiking at night isn’t uncommon. Plenty of people hike after dark to get to campsites or watch the sunrise from a mountaintop. Star walking goes a step further by blending hiking with stargazing. Rather than heading to an observatory or setting up a telescope in your backyard,star walking takes you on a brief journey to look at the stars from different viewpoints.Whether you’re in the mountainside or by the lake with stars reflecting on the water, star walking is often much more dynamic than traditional stargazing.What’s more, star walking is good for you. There are plenty of studies that show the health benefits of beingin nature. Spending at least two hours a week outdoors, particularly while engaging in what involves “effortless attention”, can decrease blood pressure, heart rate, and stress levels.So how does an aspiring star walker get started? It doesn’t take much more than a sturdy pair of boots.While telescopes and binoculars obviously have their uses, people are encouraged to start with naked-eye stargazing. Using only the eyes allows one to get lost in the infinite expanse of space and lets the mind go.It is advised that one read up on the night sky before heading out. Free mobile apps, such as Star Walk 2, can help identify celestial bodies（天体）and are easy to use—simply point your phone at the sky to reveal a map. Websites like Sky & Telescope and NASA’s Space Place cover the basics, have in-depth explanations on stars, and offer advice on equipment. Space Place posts monthly skywatching updates, so you can plan outings around events such as meteor showers.In the United States, national parks are great options for inexperienced night hikers. Many offer guided outings that explain the importance of protecting night skies. Those with a good number of walks under their belt may want to try GlacierNational Park in Montana.If national parks and other dark-sky designated areas are out of range, check local astronomy clubs and observatories for guided sessions. Sites like the International Astronomical Union are useful for finding resources by area.At the end of the day, the best advice is to take it slow and enjoy the journey.“With all of the chaos（混乱）that’s happening around us, the one constant has been the night sky,” explains Douglas, who hasbeen exploring popular places nearby, long after the crowds have gone home for the day. “Walking is quite a mindful way of looking up and being reminded that, although everything feels so different, some things are still the same.”12. According to the passage, star walking refers to ________.A. going to an observatoryB. looking at stars in mountainsC. combining hiking and stargazingD. setting up a telescope in the backyard13. One of the reasons why people go on a star walking is that _______.A. it’s easier to identify celestial bodiesB. it is good for physical and mental healthC. they can enjoy the journey without crowdsD. they can raise awareness of protecting night skies14. According to the passage, a star walking beginner is advised to _______.A. prepare a pair of strong bootsB. start by observing with telescopesC. join an astronomy club or an observatoryD. find guided outings with the help of mobile apps15. The main purpose of the passage is to ________.A. excite people’s interest in star walkingB. recommend some places for star walkingC. explain the health benefits of star walkingD. introduce the preparations for star walking第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
2021年华南师范大学附属中学高三语文第三次联考试卷及答案解析
2021年华南师范大学附属中学高三语文第三次联考试卷及答案解析一、现代文阅读（36分）(一)现代文阅读I(9分)阅读下面的文字，完成下面小题。
大海黄庭凯我邀海宝去北海玩。
不去。
他说，我看到的大海就是大海，你看到的大海却是母亲。
海宝是街边小炒店的老板，我是文化局的干部。
从北海回来，我第一件事就是到小炒店，想告诉海宝银滩真的很好玩，我都被晒脱一层皮了，可是玩的疯劲到现在还没有过。
大海真的就是大海，大海里我没有看到老妈的身影。
可是他正在忙着炒豆芽炒肉片。
我喝着茶，看着他在浓浓油烟中忙碌的身影，然后我就走了。
我和海宝是高中同学，我们都考上了大学。
我去大学的那天，他进了一家餐馆打下手，他家里拿不出学费。
我读了四年的中文系，毕业后进了文化局。
海宝则是已经当了两年的小炒店老板。
开始的时候，我经常和本地的几个文友到小炒店小酌。
店面当阳，经常是食客爆满。
海宝每次都问我，太嘈杂了，要不你们到我的房间去喝？我们都不约而同地摇头，我们就喜欢这样的环境。
食客中有穿皮鞋的，也有穿解放鞋的，甚至有打赤脚的。
我们在他们的注视下，小口喝酒大谈论，谈论小说、散文、诗歌，谈论一切和文学有关的东西。
食客走了一拨又一拨，我们还在面红耳赤地高谈阔论。
闲时，海宝就坐在灶头前，抽着烟，静静地看着我们。
有一次，一个诗人对我说，他听得懂吗？我说，我的这个哥们在高中可是个高才生，比我还要高的高才生。
只是时运不济罢了。
诗人说，所以这辈子就只能在油烟味中谋生？他肆无忌惮她大笑起来。
不知道海宝是否听见了我们对他的议论，那个诗人大笑的时候，海宝眨了几下眼，嘴角微微一翘，露出似有似无的笑，然后站起来开始炒菜。
我看着腾腾油烟中的海宝，心中突然想，海宝看油烟是油烟吗？散场后，我把这个问题抛给文友们。
担当、生存、艰辛、血泪……他们的嘴里纷纷吐出和油烟无关的词。
那个诗人说，在这种人眼里，油烟除了是油烟，还能是什么？我们以后该换去西餐厅了。
他使劲地嗅着自己的衣袖，说我从里到外都是油烟了。
2021年港澳台联考数学考前三天高仿真卷(含答案解析)
2021年港澳台联考数学考前三天高仿真卷（带解析）一．选择题（共12小题）1．已知集合A＝{x|y＝，x∈N}，B＝{x|﹣1＜x＜4}，则集合A∩B中元素的个数为（）A．2 B．3 C．4 D．52．已知（1+i）z＝i（i为虚数单位），在复平面内，复数z的共轭复数对应的点在（）A．第一象限B．第二象限C．第三象限D．第四象限3．已知圆M过点A（1，﹣1），B（1，2），C（5，2），则圆M在点B处的切线方程为（）A．3x+4y﹣2＝0 B．3x﹣4y﹣2＝0 C．4x﹣3y+2＝0 D．4x﹣3y﹣2＝04．为得到函数y＝sin2x的图象，只需将函数y＝cos（2x+）的图象（）A．向左平移个单位长度B．向左平移个单位长度C．向右平移个单位长度D．向右平移个单位长度5．已知定义在R上的奇函数f（x）和偶函数g（x），则（）A．f（x）+g（x）是奇函数B．|f（x）|•g（x）是奇函数C．f（x）•g（x）是偶函数D．f（|x|）•g（x）是偶函数6．已知二项式（﹣x）n展开式中的常数项为第4项，则该二项式的展开式中的常数项为（）A．﹣84 B．﹣42 C．42 D．847．直线y＝kx+1与曲线f（x）＝alnx+b相切于点P（1，2），则2a+b＝（）A．4 B．3 C．2 D．18．已知双曲线（a＞0，b＞0）的一条渐近线与y轴所形成的锐角为30°，则双曲线M的离心率是（）A．B．C．2 D．或29．已知等比数列{a n}的前n项和为S n，且，则的值为（）A．B．2 C．2D．410．已知，则tanα＝（）A．2 B．3 C．D．11．在区间[0，π]上随机取一个数x，则事件“sin x+cos x≥1”发生的概率为（）A．B．C．D．12．在正三棱柱（底面是正三角形的直三棱柱）ABC﹣A1B1C1中，AB＝2，E，F分别为A1C1和A1B1的中点，当AE和BF所成角的余弦值为时，AE与平面BCC1B1所成角的正弦值为（）A．B．C．D．二．填空题（共6小题）13．点（3，﹣1）关于直线x+y＝0的对称点为．14．已知平面向量＝（2，﹣2），＝（﹣1，m），若⊥，则||＝．15．“2020武汉加油、中国加油”，为了抗击新冠肺炎疫情，全国医护人员从四面八方驰援湖北．我市医护人员积极响应号召，现拟从A医院呼吸科中的5名年轻医生中选派2人支援湖北省黄石市，已知男医生2名，女医生3人，则选出的2名医生中至少有1名男医生的概率是．16．不等式log2（x2﹣3x）＞2的解集是．17．在三棱锥P﹣ABC中，底面△ABC是以AC为斜边的直角三角形，且P A⊥平面ABC，若P A ＝3，AC＝4，则三棱锥P﹣ABC外接球的表面积为．18．定义在R上的奇函数f（x）又是周期为4的周期函数，已知在区间[﹣2，0）∪（0，2]上，f（x）＝，则f（2020）＝；b＝．三．解答题（共4小题）19．已知函数x．（1）求函数f（x）的最小正周期及图象的对称中心；（2）当时，求函数f（x）的值域．20．在平面直角坐标系xOy中，动点M到定点F（）的距离和它到定直线x＝的距离比为，记动点M的轨迹为Ω．（Ⅰ）求Ω的方程；（Ⅱ）设过点（0，﹣2）的直线l与Ω相交于A，B两点，当△AOB的面积为1时，求|AB|．21．已知数列{a n}前n项的和为S n且a1＝1，．（1）求证：数列{}是等差数列；（2）证明：当n≥2时，．22．已知函数f（x）＝（x+a﹣1）e x，a∈R．（1）当a＝1时，求函数f（x）的极值；（2）若函数g（x）＝f（x）﹣x2﹣ax在区间[0，+∞）上只有一个零点，求a的取值范围．参考答案与试题解析一．选择题（共12小题）1．【分析】可求出集合A，然后进行交集的运算求出A∩B，然后即可得出A∩B中元素的个数．【解答】解：∵A＝{x|3x≤81，x∈N}＝{x|x≤4，x∈N}＝{0，1，2，3，4}，B＝{x|﹣1＜x＜4}，∴A∩B＝{0，1，2，3}，∴A∩B中元素的个数为4．故选：C．【点评】本题考查了描述法、列举法的定义，指数函数的单调性，交集的定义及运算，考查了计算能力，属于基础题．2．【分析】把已知等式变形，利用复数代数形式的乘除运算化简，求出的坐标得答案．【解答】解：由（1+i）z＝i，得，∴复数z的共轭复数对应的点是，在第四象限．故选：D．【点评】本题考查复数代数形式的乘除运算，考查复数的代数表示法及其几何意义，是基础题．3．【分析】根据题意，设圆心M的坐标为（m，n），则点M在线段AB和BC的垂直平分线上，求出M的坐标，由两点间连线的斜率公式可得k MB，进而可得圆M在点B处的切线的斜率，由直线的点斜式方程计算可得答案．【解答】解：根据题意，圆M过点A（1，﹣1），B（1，2），C（5，2），设圆心M的坐标为（m，n），则点M在线段AB的垂直平分线上，则n＝，同理：点M在线段BC的垂直平分线上，则m＝3，则M的坐标为（3，），k MB＝＝﹣，则圆M在点B处的切线的斜率k＝，则切线的方程为y﹣2＝（x﹣1），变形可得4x﹣3y+2＝0，故选：C．【点评】本题考查圆的切线方程，涉及圆的标准方程的求法，属于基础题．4．【分析】由条件利用诱导公式，y＝A sin（ωx+φ）的图象变换规律，得出结论．【解答】解：将函数y＝cos（2x+）的图象向右平移个单位，即可得到函数y＝cos[2（x﹣）+]＝cos（2x﹣）＝sin2x的图象，故选：C．【点评】本题主要考查诱导公式，y＝A sin（ωx+φ）的图象变换规律，属于基础题．5．【分析】根据函数奇偶性的定义和性质进行判断即可．【解答】解：A．若f（x）＝x，g（x）＝2，满足条件，则f（x）+g（x）不是奇函数，故A错误，B．|f（﹣x）|g（﹣x）＝|﹣f（x）|g（x）＝|f（x）|g（x）是偶函数，故B错误，C．f（﹣x）•g（x）＝﹣f（x）•g（x），则函数是奇函数，故C错误，D．f（|﹣x|）•g（﹣x）＝f（|x|）•g（x），则f（|x|）•g（x）是偶函数，故D正确故选：D．【点评】本题主要考查函数奇偶性的判断，结合函数奇偶性的定义和性质是解决本题的关键．6．【分析】二项式展开式的通项公式求出T4，令x的指数为0，可求得n，从而可得常数项．【解答】解：由题意可知T4＝（﹣x）3＝（﹣1）3，令＝0，解得n＝9，所以该二项式的展开式中的常数项为（﹣1）3＝﹣84．故选：A．【点评】本题考查二项式定理，考查运算求解能力，考查数学运算核心素养．7．【分析】由P为切点，可得k＝1，b＝2，求得f（x）的导数，可得a＝1，可得所求和．【解答】解：直线y＝kx+1与曲线f（x）＝alnx+b相切于点P（1，2），可得k+1＝2，即k＝1，f（1）＝b＝2，f（x）的导数为f′（x）＝，即有a＝1，则2a+b＝2+2＝4．故选：A．【点评】本题考查导数的运用：求切线的斜率，考查直线方程的运用，以及方程思想和运算能力，属于基础题．8．【分析】由双曲线（a＞0，b＞0）的一条渐近线与y轴的夹角为30°，可得＝tan60°＝，利用e ＝转化求出双曲线的离心率．【解答】解：∵双曲线（a＞0，b＞0）的一条渐近线与y轴所形成的锐角为30°，则这条渐近线与x轴的夹角为60°，∴＝tan60°＝，∴e＝＝＝2．故选：C．【点评】本题考查了双曲线的几何性质，由渐近线的斜率推导双曲线的离心率是解决本题的关键．9．【分析】利用等比数列前n项和，求解公比，然后推出的结果．【解答】解：等比数列{a n}的前n项和为S n，且，所以公比q≠1，则，可得q3＝8，所以q＝2，则＝＝q2＝4，故选：D．【点评】本题考查等比数列的应用，求出数列求和的应用，是基本知识的考查．10．【分析】由条件利用同角三角函数的基本关系，二倍角公式，即可计算得解．【解答】解：∵，可得：＝＝＝，∴解得：tanα＝2．故选：A．【点评】本题主要考查同角三角函数的基本关系，二倍角公式在三角函数化简求值中的应用，属于基础题．11．【分析】由sin x+cos x＝≥1，得到sin（x+）≥，x∈[0，π]，解得，由此能求出事件“sin x+cos x≥1”发生的概率．【解答】解：在区间[0，π]上随机取一个数x，∵sin x+cos x＝≥1，∴sin（x+）≥，x∈[0，π]，∴，解得，则事件“sin x+cos x≥1”发生的概率为：P＝＝．故选：C．【点评】本题考查概率的求法，考查几何概型、三角函数的性质等基础知识，考查运算求解能力，是基础题．12．【分析】设AA1＝t，以B为原点，BA为x轴，BC为y轴，BB1为z轴，建立空间直角坐标系，由AE和BF所成角的余弦值为，求出t＝AA1＝2．由此能求出AE与平面BCC1B1所成角α的正弦值．【解答】解：设AA1＝t，以B为原点，BA为x轴，BC为y轴，BB1为z轴，建立空间直角坐标系，则A（，1，0），E（，，t），B（0，0，0），F（，，t），＝（﹣，，t），＝（，，t），∵AE和BF所成角的余弦值为，∴|cos＜＞|＝＝＝，解得t＝2．∴＝（﹣，，2），平面BCC1B1的法向量＝（1，0，0），∴AE与平面BCC1B1所成角α的正弦值为：sinα＝＝＝．故选：B．【点评】本题考查线面角的正弦值的求法，考查空间中线线、线面、面面间的位置关系等基础知识，考查运算求解能力，是中档题．二．填空题（共6小题）13．【分析】设点（3，﹣1）关于直线x+y＝0的对称点为（a，b），利用中点坐标公式、直线与直线垂直的性质列出方程组，能求出结果．【解答】解：设点（3，﹣1）关于直线x+y＝0的对称点为（a，b），则，解得a＝1，b＝﹣3，∴点（3，﹣1）关于直线x+y＝0的对称点为（1，﹣3）．故答案为：（1，﹣3）．【点评】本题考查点关于直线对称的点的坐标的求法，考查中点坐标公式、直线与直线垂直的性质等基础知识，考查运算求解能力，考查函数与方程思想，是基础题．14．【分析】根据即可得出，然后进行向量坐标的数量积运算即可求出m，进而可求出的值．【解答】解：∵，∴，解得m＝﹣1，∴，∴．故答案为：．【点评】本题考查了向量垂直的充要条件，向量坐标的数量积运算，考查了计算能力，属于基础题．15．【分析】基本事件总数n＝＝10，选出的2名医生中至少有1名男医生包含的基本事件个数m＝＝7，由此能求出选出的2名医生中至少有1名男医生的概率．【解答】解：现拟从A医院呼吸科中的5名年轻医生中选派2人支援湖北省黄石市，已知男医生2名，女医生3人，基本事件总数n＝＝10，选出的2名医生中至少有1名男医生包含的基本事件个数m＝＝7，则选出的2名医生中至少有1名男医生的概率是p＝．故答案为：．【点评】本题考查概率的求法，考查古典概型、排列组合等基础知识，考查运算求解能力，是基础题．16．【分析】运用对数函数的单调性，即可得到x2﹣3x＞4，再由二次不等式的解法，即可得到解集．【解答】解：log2（x2﹣3x）＞2即为log2（x2﹣3x）＞log24，即有x2﹣3x＞4，解得，x＞4或x＜﹣1．则解集为（﹣∞，﹣1）∪（4，+∞）．故答案为：（﹣∞，﹣1）∪（4，+∞）．【点评】本题考查对数不等式的解法，考查对数函数的单调性，考查二次不等式的解法，属于基础题．17．【分析】首先求出三棱锥体的外接球的半径，进一步求出球的表面积．【解答】解：三棱锥P﹣ABC中，底面△ABC是以AC为斜边的直角三角形，且P A⊥平面ABC，如图所示：取AC的中点D，作OD⊥平面ABC，点E为P A的中点，所以，所以．故答案为：25π．【点评】本题考查的知识要点：三棱锥体的外接球的半径的求法，球的表面积公式的应用，主要考查学生的运算能力和转换能力及思维能力，属于基础题．18．【分析】由定义在R上的奇函数f（x）又是周期为4的周期函数，得f（0）＝0，由f（x）是周期为4的周期函数，得f（2020）＝0，由f（x+4）＝f（x）和奇函数性质，得f92）＝f（﹣2）＝0，由此能求出结果．【解答】解：∵定义在R上的奇函数f（x）又是周期为4的周期函数，∴f（﹣0）＝﹣f（0），解得f（0）＝0，∵f（x）是周期为4的周期函数，∴f（2020）＝0，∵f（x）周期为4的周期函数，∴f（x+4）＝f（x），∴f（4﹣2）＝f（﹣2），∴f（2）＝f（﹣2），∵定义在R上的奇函数f（x），∴f（2）＝f（﹣2）＝﹣f（2），∴f（2）＝f（﹣2）＝0，∵在区间[﹣2，0）∪（0，2]上，f（x）＝，∴，解得a＝，b＝1．故答案为：0，1．【点评】本题考查函数值的求法，考查函数性质等基础知识，考查运算求解能力，是基础题．三．解答题（共4小题）19．【分析】（1）化函数f（x）为正弦型函数，根据正弦函数的图象与性质求出它的最小正周期和对称中心；（2）求出时sin（2x﹣）的取值范围即可．【解答】解：（1）函数x＝cos2x cos+sin2x sin﹣cos2x＝sin2x﹣cos2x＝sin（2x﹣），所以函数f（x）的最小正周期为T＝＝π；令2x﹣＝kπ，k∈Z，解得x＝+，k∈Z；所以f（x）图象的对称中心为（+，0），k∈Z；（2）当时，0≤2x≤π，所以﹣≤2x﹣≤，所以﹣≤sin（2x﹣）≤1，所以函数f（x）的值域为[﹣，1]．【点评】本题考查了三角函数的图象与性质的应用问题，也考查了三角恒等变换问题，是基础题．20．【分析】（Ⅰ）根据“动点M到定点F（）的距离和它到定直线x＝的距离比为”可列出方程，化简即可求出M的轨迹方程；（Ⅱ）依题意当l⊥x轴不合题意；故设直线l：y＝kx﹣2，设A（x1，y1），B（x2，y2），将y＝kx﹣2代入，利用韦达定理解出x1+x2和x1x2的值，利用弦长公式表示出|AB|，再利用三角形面积公式以及△AOB的面积为1即可求出|AB|．【解答】解：（Ⅰ）设M（x，y），则，两边平方整理得Ω的方程为+y2＝1；（Ⅱ）依题意当l⊥x轴不合题意，故设直线l：y＝kx﹣2，设A（x1，y1），B（x2，y2），将y＝kx﹣2代入，得（1+4k2）x2﹣16kx+12＝0，当△＝16（4k2﹣3）＞0，即k2＞时，，，从而|AB|＝•＝，又点O到直线AB的距离d＝，所以△AOB的面积S＝＝1，整理得（4k2﹣7）2＝0，即k2＝（满足△＞0），所以．【点评】本题考查了轨迹方程的求法，考查了设而不求方法的运用，考查了弦长公式，属于中档题．21．【分析】（1）运用数列的递推式：当n≥2时，a n＝S n﹣S n﹣1，结合等差数列的定义，即可得证；（2）由（1）可知，＝+2（n﹣1）＝2n﹣1，则S n＝，可得当n≥2时，＝＜＝•＝（﹣），再由裂项相消求和和不等式的性质，即可得证．【解答】证明：（1）a1＝1，．当n≥2时，a n＝S n﹣S n﹣1＝，即为S n﹣S n﹣1＝﹣2S n S n﹣1，可得﹣＝2，从而{}构成以1为首项，2为公差的等差数列．（2）由（1）可知，＝+2（n﹣1）＝2n﹣1，则S n＝，当n≥2时，＝＜＝•＝（﹣），从而．【点评】本题考查等差数列的定义和通项公式，考查数列的裂项相消求和，以及不等式的放缩法，考查运算能力和推理能力，属于中档题．22．【分析】（1）将a＝1代入函数f（x）的解析式，并对函数f（x）求导，求出函数f（x）的极值点，并分析函数f（x）的单调性，再将极值点代入函数f（x）可求出函数f（x）的极值；（2）先求出g（x）的解析式，对函数g（x）求导得出g（x）＝（x+a）（e x﹣1），求出g′（x）＝0的两根x1＝﹣a和x2＝0，对这两数的大小进行分类讨论，讨论函数g（x）在[0，+∞）上的单调性，利用单调性对g（0）＝a﹣1的符号进行分析，可求出a的取值范围．【解答】解：（1）当a＝1时，f（x）＝xe x，定义域为R，f′（x）＝（x+1）e x，令f′（x）＝0，得x＝﹣1．当x＜﹣1时，f′（x）＜0；当x＞﹣1时，f′（x）＞0．所以，函数f（x）在x＝﹣1处取得极小值，即；（2），g′（x）＝（x+a）e x﹣x﹣a＝（x+a）（e x﹣1），令g′（x）＝0，得x1＝﹣a，x2＝0．①当﹣a≤0时，即当a≥0时，对任意的x≥0，g′（x）≥0，此时，函数g（x）在区间[0，+∞）上单调递增，则函数g（x）在x＝0处取得最小值，且最小值为g（0）＝a﹣1≤0，得a≤1．此时，0≤a≤1；②当﹣a＞0时，即当a＜0时，此时，函数g（x）在（0，﹣a）上单调递减，在（﹣a，+∞）上单调递增，由于函数g（x）在[0，+∞）上只有一个零点，则g（0）＝a﹣1＜0，得a＜1．所以，a＜0．综上所述，实数a的取值范围是（﹣∞.1]．【点评】本题考查利用导数求函数的极值，同时也考查了函数的零点的分类讨论，考查分析能力，属于难题．。
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华师导航教育港澳台联考周考三
历史试卷
1、商朝都城遗址“殷墟”出土了大量篆刻有卜辞德甲骨，“殷墟”位于今河南（）
A、郑州
B、洛阳
C、商丘
D、安阳
2、秦朝在全国统一使用的货币是（）
3、230年，东吴派遣将军卫温率军进入台湾，台湾当时被称作（）
A、夷陵
B、澎湖
C、夷洲
D、琉球
4、唐中期，为解决财政困难，唐德宗任用杨炎改革赋税制度，实行（）
A、两税法
B、一条鞭法
C、租庸调制
D、摊丁入亩
5、1127年金军南下，攻破北宋都城汴京，俘获徽、钦二帝，北宋灭亡，史称（）
A、靖康之变
B、靖难之役
C、土木之变
D、陈桥兵变
6、明朝统治者为了加强皇权，授权“锦衣卫”掌管缉捕、刑狱之事，监视、侦察官民行为。
负责指挥锦衣卫的是（）
A、宦官
B、皇帝
C、内阁大学士
D、刑部尚书
7、一位清代官员在信中说：“旧党之阻挠，八股试贴之无用、部议之因循守旧，大臣之不明新学，上皆言之。
”信中所说的“上”是指（）
A、咸丰皇帝
B、同治皇帝
C、光绪皇帝
D、宣统皇帝
8、1879年，康有为游历设有租界的上海等地后说：“彼族宫室桥梁道路之整，巡役狱囚之肃、舟车器艺之精，而我首善之区一切及与相反。
”这句话反映出（）
A、康有为维新变法的主要思想已经形成
B、一些知识分子认识到中西之间的差距
C、近代知识分子对西方文明有了更加理性的认识
D、租界是西方列强侵华的桥头堡和基地
9、1927年，日本在“东方会议”上确立了“把满洲从中国本土分裂出来，自成一区，置日本势力之下”的侵略方针。
为实现这一方针，日本制造了（）
A、九一八事变
B、华北事变
C、卢沟桥事变
D、八一三事变
10、抗日战争时期，中国政府对外关系方面取得的重要成果是（）
A、改定新约，实现关税自主
B、废除了英美等国在华治外法权等特权
C、收回汉口、九江英租界
D、中国政府代表团出席日本无条件投降仪式
11、抗日战争胜利以后，中国民族党派成为重要的政治力量，其中主要以海外人士为主的民族党派是（）
A、中国民族同盟
B、中国民主建国会
C、九三学社
D、中国致公党
12、毛泽东与美国记者安娜.露易丝.斯特朗的谈话中提出“一切反动派都是纸老虎”的论断，这次谈话是在（）
A、北伐战争时期
B、土地改革时期
C、抗日战争时期
D、解放战争时期
13、新中国成立初期，毛泽东形象的说：“现在我们能造些什么？能造桌子、椅子，能造茶碗茶壶，能种粮食，还能磨成面粉，还能造纸。
但是，一辆汽车、一架飞机、一辆坦克、一辆拖拉机都不能造。
”由此可见，我国当时（）
A、轻工业比较发达
B、农业有较大进步
C、重工业十分落后
D、工农业发展失调
14、一份《新闻简报》中写道：“广东连县星子乡田北社水稻亩产6万多斤的大卫星，广西环县又放出13万斤的卫星来。
”这则报道反映的时期应是（）
A、农业合作化时期
B、“大跃进”时期
C、国民经济调整时期
D、“文化大革命”时期
15、18世纪末，法国军民高唱《马赛曲》，走上前线抗击外敌入侵，取得瓦尔密战役的胜利。
这次战役发生在（）
A、几轮特派统治时期
B、君主立宪派统治时期
C、雅各宾派统治时期
D、拿破仑统治时期
16、每个人，只要他不违反正义法则，就可以完全自由的以自己的方式追求自身利益，就可以完全自由的以自己的勤奋和资本与其他任何人即任何阶层的人的勤奋和资本相竞争。
提出上述自由放任主义的是（）
A、弗兰西斯.培根
B、亚当.斯密
C、霍布斯
D、伏尔泰
17、第二次工业革命后形成的新的工业群包括（）
A、电力工业、电器工业、化学工业、汽车工业
B、纺织工业、机器制造业、铁路运输、煤炭工业
C、纺织工业、电力工业、汽车工业、石油工业
D、机器制造业、铁路运输业、电器工业、石油工业
18、1830年，原棉几乎占美国出口的50%，其中大部分运往英国，而在运往英国的原棉中76%来自美国南方各州。
棉织品一般占英国出口的48%，其中输往美国的占33%。
据此可知（）
A、棉花是内战前美国经济的支柱
B、奴隶制是南方棉花种植园的基础
C、对外贸易是英国经济的生命线
D、英国工业革命与美国南部种植园经济又密切关系
19、华盛顿会议对第一次世界大战后太平洋地区的国际关系进行了调整，下列关于华盛顿会议的表述，正确的是（）
A、中国的国际地位得到提高
B、战胜国与战败国之间矛盾加剧
C、对军备竞赛有所限制
D、美日同盟得到加强
20、“和平、发展和保护环境是相互依存和密不可分的”。
下列各项中，能够充分体现这一思想宗旨的是（）
A、1961年不结盟国家和政府首脑会议宣言
B、1989年亚太经合组织成立
C、1991年《马斯特里赫特条约》
D、1992年里约热内卢宣言
二、材料分析题：本大题共2小题，每小题15分，共30 分
21、阅读下列材料，并结合所学知识回答问题
材料：抗日战争开始时，一种抵抗敌人到底的民族感和决心的浪潮弥漫了全中国。
统一战线口号首先克服了一切中国国内的纠纷。
国民党政府监狱中所有的因共产主义或左派活动而被拘禁的人都被释放了，其他逃亡国外的人也回国为民族事业而听从分配……因此，中国人对进犯的敌人所作的抵抗超出了日本人最初的一切预料。
______傅吾康《一百年来的中国革命》（1851—1949）回答：根据材料及所学知识，概述抗日战争之前中国人民同仇敌忾进行抗战的表现。
22、阅读下列材料，并结合所学知识回答问题
材料一：
实际上，探险的不同动机交织在一起，并彼此强化……当葡萄牙航海家达伽马在1498年到达印度的卡里库特港时，当地的统治者问他想要什么，他答道：“基督教和香料”。
材料二：
第一，作为上述海洋的宗主和统治者的两位陛下今后对哥伦布阁下赐以他个人以及靠自己的技巧在这实现而且获得的一切岛屿和大陆的海军司令。
其次，国王和女王陛下对哥伦布阁下赐以上述他在海中所发现或获得的一切大陆和岛屿的钦差和最高总督；要他总辖其中每个地方以及任何地方并指派充任各种官职的人员，而两位陛下则享有遴选他们认为最合适者的权力。
再次，在此后赐予哥伦布的上述海军司令辖境内从一切购买、交换、发现或得到的珍珠或宝石、金银及其他任何种类、形式和名称的货物上，同意都归他管并自留十分之一，即计算在这方面的一切费用，在从整个的纯利益中把其余的九成交给两位陛下后，同意他自己留下的这十分之一并随意来使用这一部分。
_____西班牙统治者与哥伦布签署的《圣塔菲协定》（1498年4月17日）回答：
（1）根据材料并结合所学知识，概括西班牙和葡萄牙开辟新航路的动因。
（6分）（2）根据材料二，指出西班牙统治新发现土地的基本原则。
（9分）
三、问答题：本大题共3小题，每小题30分，任选2题作答。
共60分
23、说明宋元时期内地棉纺织业的发展情况，评价黄道婆的贡献以及历史作用。
（30分）
24、简述20实际30年代前期国民政府实行的经济政策和措施的内容以及作用。
（30分）
25、第二次世界大战中。
反法西斯同盟国取得斯大林格勒保卫战、阿拉曼战役、中途岛海战的胜利，完成了战略转折。
从战争双方的角度，结合具体史实，指出战略转折得到实现的政治、军事条件。