人教版高中数学必修和必修综合测试卷【人教版高中数学必修三电子课本】

本文目录

、人教版高中数学必修和必修综合测试卷

、人教版高中英语必修四第二单元测试卷

篇一:人教版高中数学必修一综合测试题带答案的哦! 高一数学必修测试题 第Ⅰ卷(选择题 共分) 一、选择题(本大题共小题,每小题分,共分) .已知A=x|y=x,x∈R,B=y|y=x,x∈R,则A∩B等于 A.x|x∈R B.y|y≥ C.(,),(,) D.? . 函数y??x的单调递增区间为 A.(??,] B.[,??) C.(,??) D.(??,??) . 下列四个函数中,在(,+∞)上为增函数的是 A.f(x)=x C.f(x)= B.f(x)=xx D.f(x)=|x| x? .函数f(x)=x+(a-)x+在区间(∞,]上递减,则a的取值范围是 A.[,+∞] B.(∞,) C.(∞,] D.[,+∞) ..当?a?时,在同一坐标系中,函数y?a?x与y?logax的图象是 . A B CD . 函数y=x?+(x≥)的反函数是 A.y=xx+(x<) B.y=xx+(x≥) C.y=xx(x<)D.y=xx(x≥) . 已知函数f(x)=mx?mx?的定义域是一切实数,则m的取值范围是 A.<m≤ B.≤m≤C.m≥ D.≤m≤ .某商场对顾客实行购物优惠活动,规定一次购物付款总额: ()如果不超过元,则不给予优惠; ()如果超过元但不超过元,则按标价给予折优惠; ()如果超过元,其元内的按第()条给予优惠,超过元的部分给予折优惠. 某人两次去购物,分别付款元和元,假设他一次性购买上述两次同样的商品,则应付款是 A..元 B..元 C..元 D..元 . 二次函数y=ax+bx与指数函数y=( bx )的图象只可能是a D ?n?(n?), . 已知函数f(n)=?其中n∈N,则f()等于 f[f(n?)](n?),? A.B.C.D. .如图,设a,b,c,d>,且不等于,y=ax , y=bx , y=cx ,y=dx 在同一坐标系中的图象如图,则a,b,c,d的大小顺序( ) A、a<b<c<dB、a<b<d<c C、b<a<d<cD、b<a<c<d ..已知<a<,b<,函数f(x)=ax+b的图象不经过A.第一象限; B.第二象限; C.第三象限; D. 第Ⅱ卷(非选择题 二、填空题(本大题共小题,每小题分,共分) - .已知f(x)=x-(x<),则f()=_______. . 函数 y?log(x?)的定义域为______________ .某工厂年来某产品产量y与时间t年的函数关系如下图,则: ①前年总产量增长速度增长速度越来越快; ②前年中总产量增长速度越来越慢; ③第年后,这种产品停止生产; ④第年后,这种产品年产量保持不变. 以上说法中正确的是_______. (x?),?x? ? (?x?),的最大值是_______. . 函数y=?x? ?x? (x?)? 三、解答题 .(分)已知函数f(x)?x?, (Ⅰ) 证明f(x)在[,??)上是增函数; (Ⅱ) 求f(x)在[,]上的最大值及最小值. .(本小题满分分) 试讨论函数f(x)=loga 并予以证明. x x? (a>且a≠)在(,+∞)上的单调性,x? .(本小题满分分)二次函数f(x)满足 且f()=. () 求f(x)的解析式; () 在区间上,y=f(x)的图象恒在y=x+m的图象上方,试确定实数m的 范围. . 设集合A?x|x?x??,B?x|x?mx??,若B?A, 求实数m的值组成的集合(分) x .设f(x)?x,若?a?,试求: ? ()f(a)?f(?a)的值; ()f( )?f()?f()???f()的值; 答案 一. BAaCc BDCAD BA 二。. ,. (,], . ①④. 三..;解:(Ⅰ) 设x,x?[,??),且x?x,则 f(x)?f(x)?(x? (xx?) )?(x?)?(x?x) xxxx ??x?x ∴x?x? ∴xx?,∴xx?? ∴(x?x) (xx?) ? xx ∴f(x)?f(x)?,即f(x)?f(x) ∴y?f(x)在[,??)上是增函数 (Ⅱ) 由(Ⅰ)可知f(x)?x? 在[,]上是增函数 x ∴当x?时,f(x)min?f()? 综上所述,f(x)在[,]上的最大值为,最小值为 ∴当x?时,f(x)max?f()? .解设u= x? ,任取x>x>,则 x? u-u= x?x?(x?)(x?)?(x?)(x?)(x?x) ==. ? x?x?(x?)(x?)(x?)(x?) ∵x>,x>,∴x->,x->. 又∵x<x,∴x-x<. ∴ (x?x) <,即u<u. (x?)(x?) 当a>时,y=logax是增函数,∴logau<logau, 即f(x)<f(x);篇二:人教版高中数学必修一综合测试题及答案 人教版高中数学必修一测试题一 一、选择题(本大题共小题,每小题分,共分) .已知A=x|y=x,x∈R,B=y|y=x,x∈R,则A∩B等于 ( ) A.x|x∈R B.y|y≥ D.? C.(,),(,) . 函数y??x的单调递增区间为 ( ) A.(??,] B.[,??) C.(,??) D.(??,??) . 下列四个函数中,在(,+∞)上为增函数的是 ( ) A.f(x)=x C.f(x)= B.f(x)=xx D.f(x)=|x| x? .函数f(x)=x+(a-)x+在区间(∞,]上递减,则a的取值范围是 ( ) A.[,+∞] C.(∞,] B.(∞,) D.[,+∞) ..当?a?时,在同一坐标系中,函数y?a?x与y?logax的图象是 ( ) . A B CD . 函数y=x?+(x≥)的反函数是 ( ) A.y=xx+(x<) B.y=xx+(x≥) C.y=xx(x<)D.y=xx(x≥) . 已知函数f(x)=mx?mx?的定义域是一切实数,则m的取值范围是 ( ) A.<m≤ B.≤m≤C.m≥ D.≤m≤ .某商场对顾客实行购物优惠活动,规定一次购物付款总额: ()如果不超过元,则不给予优惠; ()如果超过元但不超过元,则按标价给予折优惠; ()如果超过元,其元内的按第()条给予优惠,超过元的部分给予折 优惠. 某人两次去购物,分别付款元和元,假设他一次性购买上述两次同样的商品,则应付款是 ( ) A..元 C..元 B..元 D..元 . 二次函数y=ax+bx与指数函数y=(bx )的图象只可能是 ( ) a ?n?(n?), . 已知函数f(n)=?其中n∈N,则f()等于 ( ) f[f(n?)](n?),? A.B.C.D. 、如图,设a,b,c,d>,且不等于,y=ax , y=bx , y=cx ,y=dx 在同一坐标系中的图象如图,则a,b,c,d的大小顺序( ) A、a<b<c<dB、a<b<d<c C、b<a<d<cD、b<a<c<d .已知<a<,b<,函数f(x)=2016开学第一课观后感300字ax+b的图象不经过 ( ) A.第一象限;B.第二象限; C.第三象限; D.第四象限 二、填空题(本大题共小题,每小题分,共分) .已知f(x)=x-(x<),则f()=_______. - . 函数 y?log(x?)的定义域为______________ .某工厂年来某产品产量y与时间t年的函数关系如下图,则:①前年总产量增长速度增长速度越来越快; ②前年中总产量增长速度越来越慢; ③第年后,这种产品停止生产; ④第年后,这种产品年产量保持不变. 以上说法中正确的是_______. (x?),?x? ? (?x?),的最大值是_______. . 函数y=?x? ?x? (x?)? 三、解答题。 .(分)已知函数f(x)?x? x (Ⅰ) 证明f(x)在[,??)上是增函数; (Ⅱ) 求f(x)在[,]上的最大值及最小值. .(本小题满分分) 试讨论函数f(x)=loga并予以证明. x? (a>且a≠)在(,+∞)上的单调性, x?.(本小题满分分)二次函数f(x)满足且f()=. () 求f(x)的解析式; () 在区间上,y=f(x)的图象恒在y=x+m的图象上方,试确定实数m的 范围. . 设集合A?x|x?x??,B?x|x?mx??,若B?A, 求实数m的值组成的集合(分)篇三:高中数学必修一必修二综合检测题(有答案)数学必修一必修二综合检测题(一) . 设f:x→x 是集合A到集合B的映射,若B=,,则A∩B为 A.φ B. C.φ或 D.φ或 . 函数f(x)?ax?b的图象如图,其中a、b为常数,则下列结论正确的是 A.a?,b?B.a?,b? C.?a?,b?D.?a?,b? . 下列各组函数中,表示同一函数的是 A.f(x)与g(x)= f (x +) B. f (x)= x x 与g (t)= t t C.f(x)? x?x? 与 g(x)? x?D.f(x)? x 与g(x)?x x . 函数y=log(x?)的定义域是 A.[,+∞] B.? ? ?? ,???? 工艺品作文 C.?? ?,? D.? ? ? ? ? ,? ?? . 函数y=-x? , 则下列说法正确的是 A.y在(-,+∞)内单调递增 B.y在(-,+∞)内单调递减 C.y在(,+∞)内单调递增 D.y在(,+∞)内单调递减 . 正方体的内切球与外接球的半径之比为 A.∶ B.∶ C.∶ D.∶ . 已知直线l(a?)x?y??与直线lax?(a?)y??互相垂直,则实数a的值为A.或 B.或 C.或 D.或 . 下列命题中错误的是 (A)若m//n,n??,m??,则???(B)若?//?,?//? 则?//? (C)若???,???,????l,则l?? (D)若???,a??,则a?? . 函数y??ex 的图象 A.与y?ex 的图象关于y轴对称 B.与y?ex 的图象关于坐标原点对称 C.与y?e?x 的图象关于 y轴对称D.与y?e?x 的图象关于坐标原点对称 . 在同一直角坐标系中,表示直线y?ax与y?x?a正确的是 Ox O x Ox x . 如图,已知长方体ABCD?ABCD中,AB?BC?,CC?,则直线BC和平面DBBD所成的正弦值 等于() C A. B C D A . 已知实数a, b满足等式(a b )?( ),下列五个关系式①<b<a ②a<b< ③<a<b ④b<a< ⑤a=b 其中不可能... 成立的关系式有 A.个 B.个C.个 D.个 . 若幂函数f(x)的图像过点(,),则 . 经过点A(,),且在两坐标轴上的截距相等的直线方程的一般式为_________________. . 若一个正三棱柱的三视图及其尺寸如图所示(单位cm),则该几何体的体积是 ________________cm . . 已知a,b为常数,若 f(x?) x? ?x, f(ax?b)?x ?x?,则a?b?___________. .已知集合P?x|??x?,Q?x|k??x?k?,求使P?Q??的实数k 的取值范围。 . 已知?ABC三边所在直线方程为ABx?y??, BCx?y??,CAx?y??. (Ⅰ)求直线AB与直线BC的交点B的坐标;(Ⅱ)求AC边上的高所在的直线方程.. 如图,在直四棱柱ABCDABCD中,底面ABCD为等腰梯形,AB//CD,AB=, BC=CD=, AA=, E、E分别是棱AD、AA的中点. D () 设F是棱AB的中点,证明:直线EE//平面FCC; . 如图,在棱长为a的正方体ABCD?ABCD中, ()作出面ABC与面ABCD的交线l,判断l与线AC位置关系,并给出证明; ()证明BD⊥面ABC. ()求线AC到面ABC的距离; . 已知函数f(x)?? ?log x x?[,]?(x?) ? x?(,] . (Ⅰ)在给定的直角坐标系内画出f(x)的大致图象; (Ⅱ)求函数g(x)=f(x)? 的零点. () 证明平面DAC⊥平面BBCC. . 已知函数f(x)?logx x(?)? . (Ⅰ)判断f(x)的奇偶性,并说明理由; (Ⅱ)若方程f(x)?m?有解,求m的取值范围; (Ⅲ)若函数g(x)?log[?x?x???(n?)x?nxa],求a的取值范围. AB E C E n?,n?N,对任意x?(??,]都有意义, 答案 ~ DDBDC CBDDC CB . f(x)?x . x+y=或x+y=. . . k>或k< . B(,) 直线AC方程为:xy+= . ()l∥AC. ()略. () a. . (Ⅰ)图像如右图所示,此题需突出(,),(,), (,), (,)四个点,并保留作图痕迹; (Ⅱ)当?x?时,logx? ,得x? 当<x?时,(x?) ?? ,得x?? ; 故函数g(x)=f(x)? 的零点为? ? . 证明()在直四棱柱ABCDABCD中,取AB的中点F, 连接AD,CF,CF,因为AB=, CD=,且AB//CD, D 所以CD=// AAF,AFCD为平行四边形,所以CF//AD, FB 又因为E、E分别是棱AD、AA的中点,所以EE//AD, E 所以CFE //EE,又因为EE?平面FCC,CF?平面FCC, A B 所以直线EE//平面FCC. ()连接AC,在直棱柱中,CC⊥平面ABCD,AC?平面ABCD, 所以CC⊥AC,因为底面ABCD为等腰梯形,AB=, BC=, AB F是棱AB的中点,所以CF=CB=BF,△BCF为正三角形, ?BCF??,△ACF为等腰三角形,且?ACF?? E C 所以AC⊥BC, 又因为BC与CC都在平面BBCC内且交于点C, 所以AC⊥平面BBCC,而AC?平面DAC, 所以平面DAC⊥平面BBCC. . (Ⅰ)f(x)是偶函数, ∵f(?x)?log?x ( ?)? xx x ?log? x ? x ?log(?)? x ?f(x); (Ⅱ)∵m?f(x)?logxlogx x x (x?)? ?(?)?log?log(? x ) , 又x? x ???, ∴m? ; 故要使方程f(x)?m?有解,m的取值范围为m? . (Ⅲ)由?x?x???(n?)x?nxa?知a?( n )x?(n )x???( n?n) x 恒成立 又∵yi i?(n )x,i?,,?,n?都是减函数 ∴y?(n?n )x?(n )x???( n ) x 也是减函数 ∴y在(??,]上的最小值为y ?( )???(n? n?min?(n )?(n )n n )? ?a ∴a的取值范围是(??, n?).

人教版高中英语必修四第二单元测试卷

人教版高中英语必修四第二单元测试卷

Book Unit Working the land

一、单项选择

. Shall we eat out this evening, dear? _________ How about the restaurant we went to last weekend? A. What for. B. It’s up to you. C. That all depends. D. Why not? . It’s said that Mr. Smith has made ______ important new discovery in the field during ____ past decade. A. an; the B. an; a C. /; the D. /; a . Do you know what Jim’s _______ is ? He’s a dance, if I remember rightly. A. occupation B. summary C. root D. nationality . Mary has caught a bad cold. Has she? I regret ____ her to put on more clothes yesterday. A. not to remind B. not to be reminded C. not reminding D. not being reminded . The book is really ______; I kept forgetting who the characters were. A. disturbing B. confusing C. shocking D. upsetting . Tom would rather ______ poor than ______ money by dishonest methods; we all admire him. A. to be; get B. be; get C. to be; getting D. be; getting . _____ the mistakes in red ink is one of the ways that teachers usually use to remind students to pay attention to them. A. Underlined B. Underline C. Being underlined D. Underlining . Brain wouldn’t leave work until he was satisfied _____ the job he’d done. A. in B. with C. on D. about . Those present on the spot refused to ____ the accident when interviewed. A. build up B. focus on C. comment on D. lead to . Statistics show that house prices in the last two years has risen ____ they had expected. A. as much as twice B. as twice much as C. twice as much as D. as much twice as . We do not have enough money. _____, we cannot afford to buy the new car. A. Therefore B. Besides C. However D. Instead . Mary speaks with a strong southern accent so that she’s taking classes to ____ herself of it. A. support B. struggle C. rid D. equip . ____ student numbers in the city are expanding rapidly, no more money is provided to build more schools. A. Though B. If C. Because D. Unless . Today ____ the Internet, we can do all our Christmas shopping at home. A. as for B. according to C. except for D. thanks to . According to the report, the number of animals used in experiments _____ by % over the years. A. was reduced B. has been reduced C. were reduced D. have been reduced

二、完形填空

One day, Nancy came home from school crying. Taking her in her arms, Mummy tried to her. After a while, she stopped crying and asked, “Mummy, am I ?” “No, you are not,” said Mummy, “but let us discuss this after you , OK?” Several minutes later, Nancy began to have supper with Mummy. “Who that you are bad?” asked Mummy. “Phillips, my friend. He asked me for help with his math but I because I wanted to read the new book Daddy gave me. He got and said I was a bad girl,” said Nancy. “You are ,” said Mummy. “Phillips has often

helped you with your English. You should have helped him. Why don’t you phone him and say to him?” “But he called me bad and with me. I don’t want to go,” Nancy cried. “Though you have done bad, it does not make you a bad person. You are a good person.” Nancy showed a look on her face. “How can that be, Mummy?” she asked. “Our is always good. So never believe that you are bad,” Mummy replied with a smile. flooded on Nancy’s face. “ Am I good, Mummy?” she asked. “Yes, you are good, and always will be so. But that does not mean that you should not the wrong that you do. You will have to call and to Phillips. Do you understand me? ” “Yes, Mummy,” said Nancy slowly. “Thank you for telling me this. I feel much better now,” said Nancy . “I am going to Phillips right away, and I am never going to that I am always good.” . A. calm B. protect C. trick D. praise . A. shy B. foolish C. bad D. strong . A. get up B. grow up C. wash up D. turn up . A. said B. saw C. heard D. doubted . A. cried B. refused C. admitted D. allowed . A. excited B. comfortable C. nervous D. angry . A. wrong B. brave C. wise D. careful . A. goodbye B. sorry C. thankyou D. hello . A. competed B. lived C. worked D. argued . A. everything B. anything C. something D. nothing . A. always B. sometimes C. ever D. never . A. worried B. puzzled C. confident D. satisfied . A. chance B. choice C. condition D. nature . A. Fear B. Patience C. Shock D. Joy . A. really B. hardly C. already D. gradually . A. account for B. pay for C. look forward to D. rely on . A. devote B. apologize C. introduce D. turn . A. coldly B. sadly C. gratefully D. pitifully . A. consult B. change C. teach D. call . A. agree B. explain C. forget D. confirm

三、阅读理解 A.

Every year gray whales swim a , miles roundtrip, from the cold waters near Alaska, down the coast of North America to the warm waters near Mexico, and back again. It is one of the longest migrations of any mammal. All day, all summer long, in the cold waters near Alaska, gray whales eat and eat. Instead of teeth, gray whales have baleen they use to get food from ocean water. They get big mouthfuls of muck from the ocean floor, then push that muck right back out through their baleen. The mucky water flows through, but tiny animals get trapped in the baleen and licked up. When the water starts to freeze, the whales begin their long trip south. They swim night and day, without stopping to eat or rest. During the long journey, migrating whales may push their heads out of the water to see where they are. Two months later, the whales reach Mexico. Babies are born here in warm, shallow waters called lagoons. Ocean lagoons have no food for the adults, but the babies are safer here than in the open seas. All winter, the babies grow big and strong. In spring first the dads and teenagers leave the lagoons, then the moms with babies. Migrating gray whales swim close to shore, especially moms with babies. The ice is melting up north, and it’s time for the hungry whales to make the long journey back to their summer feeding grounds. . The underlined phrase “licked up” in Paragraph probably means “________”. A. given up B. ended up C. broken up D. eaten up . During their long journey to Mexico, gray whales ________. A. always swim under the ocean

B. find food to supply their energy C. face the colder and cold water D. travel to the lagoons without a break . Where do mother gray whales give birth? A. In warm shallow waters near Mexico. B. Off the coast of North America. C. In the open seas near Mexico. D. In cold waters near Alaska. . Which of the following is not mentioned about gray whales in the passage? A. How long they live. B. How they get their food. C. When they get back to Alaska. D. How long they spend traveling to Mexico. B. Many people say pennies are not worth saving. After all, a penny is only worth a cent. But one unusual penny turned out to be worth a lot more when a coin collector paid $ . million for it earlier this month. The coin is one of a kind. It is the only penny that the Denver mint made out of copper, instead of steal, in . Because it is unique, it is also very valuable. No penny has ever sold for so much money. The Changing Penny The Lincoln penny first appeared in . For years, the onecent coin was made out of copper. Then in , the penny changed. World War II was going on, and copper was needed for equipment. So for one year, pennies were made out of steel instead. At least most of them were. Only a few coins were made out of unused copper. There are three main mints, or places where coins are made, in the United States. Of the known copper pennies from , twelve were made in the Philadelphia mint, and five were made in the San Francisco mint. Only one was made in the Denver mint. Nobody knows for sure why a copper penny was made at the Denver mint in , coin dealer Andy Skrabalak told Time for kids. “There’s a rumor that a mint employee made the coin in the middle of the night,” he said. A Special Set The coin collector who bought the $. million penny wants to remain unknown. But the reason for the trade is known. He already had two copper pennies from one from the San Francisco mint and one from the Philadelphia mint. To complete the set, he needed the Denver penny. The three coins will go on display at a coin exhibition in Tampa, Florida. The collector who sold the penny is also keeping his name a secret. It took four years to convince him to give up the rare coin. Now that he has finally sold it, he is donating all of the money to charity. . Why is the Lincoln penny worth over one million dollars? A. Because it has a history of years. B. Because it was made out of a rare material. C. Because it was made on one night of by the Denver mint. D. Because it was the only coin the Denver mint made out of copper in . . Before the Lincoln penny was sold, people thought onecent coins _________. A. were worth collecting for selling later B. were surely valuable if not made out of steel C. wouldn’t be sold for large amounts of money D. were only useful for some coin museums . At least how many copper coins were made in ? A. Five. B. Twelve. C. Seventeen. D. Eighteen. . What can we learn about the collector who sold the penny? A. He already had two copper pennies from . B. He wanted to complete the set of copper pennies.

C. He didn’t want to sell his penny in the beginning. D. He was a wellknown coin dealer in Tampa, Horida. C. Tips for avoiding traffic jams The radio has more than just music. Check the local news station for the latest traffic report. Or go online and check traffic cameras before you set out. If there is a jam, you’ll be prepared and can try another route. Take the road less traveled. Although highways may be the most direct route, back roads can be much less crowded, which can save you from the frustration of the stopandgo traffic. Rush hour isn’t just a lovely nickname. It means the morning and afternoon traffic lasts for several hours, but they’re still called “rush hour” for a reason everyone’s on the road and in a hurry to get somewhere. Treat rush hour like bad weather if you don’t have to go anywhere, stay off the roads. Trips for those unavoidable traffic jams Don’t break the law. You’ve gone feet in minutes and all of a sudden you see people using the shoulders. Don’t behave like them. Not only is this illegal, but also there’s a good chance they’ll get caught or cause even more problems. Pay extra attention to zigzaggers. When some people are anxious, they may start changing lanes every seconds or cut you off. Keep checking your windows and mirrors for these lane changers. Look for an escape. If it is possible to exit the road safely, do it. Use a GPS unit, and you can change your route midtrip if needed. Be courteous. Good manners could help you avoid a possible accident. Allow people in from a lane that is ending. Speeding up to keep them out increases your chances of an accident. . According to the passage, it is wrong to ________. A. get traffic news before leaving B. choose back roads C. avoid rush hours D. change lanes frequently . What should we do when there are zigzaggers? A. Keep checking the mirrors. B. Stop and let them go first. C. Sound the horn loudly. C. Drive quickly to keep them out. . When there is a traffic jam, we should ___________. A. get off the car and walk around B. use the shoulders as lanes C. change the route if possible D. drive back immediately . What does the underlined word “courteous” in the last paragraph mean? A. Energetic. B. Polite. C. Careful. D. Honest.

四、短文填词

Now there is a new program in the community called Rent a Youth. The youth do some jobs _____ the people who rent ____, and the people give a donation to the youth group. The donation is u____ for trips and other ______(活动)of the group. This can be done in one’s own neighborhood or a ____(附近)neighborhood. Yesterday I spoke with a teenager t___ part in the program. Last year she helped an old man do h__________ twice a week and got dollars each time, ____ was spent on her piano l____. In my opinion, it keeps the youth busy, and certainly _____(有益于) the youth and the whole community. .__________________ . . . . . . . . .

五、书面表达

假如你住在一个涉外小区。 社区委员会请你帮忙根据以下提示用英文写一封电子邮件,将周末社区邀请居民 参加“乡村工作活动”的细节传达给住户。

活动宗旨 参加活动 内容 时间 地点 出行方式

亲近自然,锻炼身体 所有感兴趣的小区居民 种菜,养花,喂鱼等 本周六上午 (如天气允许) 距离小区 千米远的一家农场 集体骑自行车前往

注意: . 词数: 左右; . 可适当增加细节,以使行文连贯。 . 参考词汇:居民 resident; 社区 community

BOOKU 答案 Keys DAACB BDBCC ACCAB DABDC DCDC DACB . for . them . used . taking . housework . which

ACADB ABDDA

BBCDC . nearby . benefits

DDAA

. activities . lessons

人教版高中英语必修四第二单元测试卷

人教版高中英语必修四第二单元测试卷

人教版高中数学必修一答案

高中数学必修习题答案

高中数学必修习题答案

高中数学教材习题

高中数学教材习题

高中数学人教版必修一试题

高中数学必修教案人教版

高中数学必修教案人教版