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1、文科數(shù)學(xué)保溫練習(xí)(6月1日)1復(fù)數(shù)的虛部為 ( )A B C D 2右圖是,兩組各名同學(xué)體重(單位:)數(shù)據(jù)的莖葉圖設(shè),兩組數(shù)據(jù)的平均數(shù)依次為和,標(biāo)準(zhǔn)差依次為和,那么( )(注:標(biāo)準(zhǔn)差,其中為的平均數(shù))A,B,C,D,3在中,已知,則為 ( )A B CD4已知雙曲線(xiàn)()的右焦點(diǎn)與拋物線(xiàn)的焦點(diǎn)相同,則此雙曲線(xiàn)的離心率 為 ( ) A B C D 5定義一種運(yùn)算,令(為常數(shù)),且,則使函數(shù)最大值為4的值的個(gè)數(shù)是 ( )A1 B2 C3 D46在極坐標(biāo)系中,曲線(xiàn)與()的交點(diǎn)的極坐標(biāo)為 7已知()為等差數(shù)列,其公差為,且是與的等比中項(xiàng), 則的首項(xiàng) 8已知是坐標(biāo)原點(diǎn),點(diǎn),若點(diǎn)為平面區(qū)域上的一個(gè)動(dòng)點(diǎn), 則

2、的最大值為 .9“無(wú)字證明”(proofs without words),就是將數(shù)學(xué)命題用簡(jiǎn)單、有創(chuàng)意而且易于理解的幾何圖形來(lái)呈現(xiàn) 請(qǐng)利用圖甲、圖乙中陰影部分的面積關(guān)系,寫(xiě)出該圖所驗(yàn)證的 一個(gè)三角恒等變換公式: 10如圖,在四棱錐PABCD中,PA平面ABCD,底面ABCD是菱形,PA=AB2,BAD60°(1)求證:直線(xiàn)BD平面PAC;來(lái)源:Zxxk.Com(2)求直線(xiàn)與平面所成角的正切值; (3)已知M在線(xiàn)段PC上,且BM=DM=,CM=3, 求二面角的余弦值 每日一賞 函數(shù) (1)當(dāng)時(shí),求f(x)的單調(diào)區(qū)間;(2)若,若分別為的極大值和極小值,若,求取值范圍?;仨?jīng)典 品味精華

3、英語(yǔ)(6月1日)Section ADirections: Complete the following passage by filling in each black with one word that best fits the context.ASome doctors say that 1._ repressing and expressing anger can be dangerous. They believe that those who express anger violently may be 2. _ likely to develop heart disease,

4、and they believe that those who keep their anger inside may face 3. _greater danger of high blood pressure.Doctors say the solution is learning how to deal with anger. They say the 4. _ step is to admit that you are angry and to recognize the real cause of the anger, then decide 5. _ the cause is se

5、rious 6. _ to get angry about. If it is, they say, “Do not express your anger 7. _ angry. Wait until your anger has cooled down and you are able to express yourself calmly and reasonably.”Doctors say that a good way to deal with anger is to find humor in the situation _ has made you angry. They said

6、 that laughter is much healthier than anger.BIn the toys section, I noticed a small boy of about five years old, pressing a doll 1._ his chest. He kept on touching 2. _ hair of the doll and looked very sad. I wondered who he wanted to give the doll to. So I walked towards him and asked him all about

7、 it. “It is the doll 3_ my sister loved most and wanted so much for this Christmas. She was so sure that Santa Claus would bring it to her.” I told him not to worry. 4. _, he replied sadly, “No, Santa Claus cannot bring it to 5. _ she is now. Ill have to give the doll to my mother so that she can gi

8、ve it to her when she goes there.” His eyes were filled with sadness while saying this. "My sister has gone to be with God. Daddy said that Mommy will 6._ join God very soon, so I think that she can bring the doll with 7._ to give it to my sister." My heart almost stopped beating wholly. T

9、he little boy looked up at me and said, “I told Daddy to tell Mommy not to go yet. I asked him to wait 8._ I come back from the store.”Section BDirections: write an English composition according to the instructions given below in Chinese.如果有一場(chǎng)神奇的“價(jià)值拍賣(mài)會(huì)”,你可以拍下自己最想要的東西,你會(huì)為什么而舉牌?請(qǐng)?jiān)谝韵碌母?jìng)拍內(nèi)容中,選出你最想得到的三樣?xùn)|西

10、,并闡明你選擇的理由。競(jìng)拍內(nèi)容:愛(ài)心、夢(mèng)想、名牌大學(xué)錄取通知書(shū)、聰明、快樂(lè)、誠(chéng)信、自由、權(quán)利、友情、金錢(qián)等。注:字?jǐn)?shù)120左右。參考范文:Different people may bid for different thingsAs for me, I want dream, friendship and an admission notice to a famous university most Dreams would be on the top of my listOnly by pursuing our dreams can we enjoy a meaningful and ful

11、filled lifeMoney can buy a cozy life, but without dreams, even a millionaire would find his life boringA person without friends can never be happyOur life is full of joys and sorrows, which we need people to share withFaced with difficulties, we need friends to give us comfort and helpJust as a sayi

12、ng goes, “A friend in need is a friend indeed”Friendship can help us through ups and downs of life, so friendship would be in my list as wellAfter working hard for so many years, I deserve to go to a good university, because being admitted to a famous university can help me live up to my parents exp

13、ectations and bring me a bright future文科數(shù)學(xué)(6月1日)參考答案 A C A C B ,20,3, 10 (1)證明:因?yàn)樗倪呅蜛BCD是菱形, 所以ACBD 1分又因?yàn)镻A平面ABCD, 平面ABCD, 所以PABD, 3分 又因?yàn)?,所以BD平面PAC 4分(2)過(guò)B作,連結(jié)PE,因?yàn)镻A平面ABCD, 平面ABCD, 所以PABE,又因?yàn)?,所以BE平面PAD分 所以是直線(xiàn)與平面所成角 分 在BEP中, ,分 所以直線(xiàn)與平面所成角的正切值分(3)設(shè)F是的中點(diǎn),連結(jié),因?yàn)?,為等腰?所以 同理 所以為二面角的平面角 分 在中, 分 由余弦定理得 分 所以二面角的余弦值為 分每日一賞(1)單調(diào)增區(qū)間為;單調(diào)減區(qū)間為。(2)由且得 此時(shí)

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