題目列表(包括答案和解析)
根據(jù)情景對(duì)話和內(nèi)容,從對(duì)話后所給的選項(xiàng)中選出能填入空白處的最佳選項(xiàng),并在答題卡上將該選項(xiàng)涂黑。注意:若選E為答案是,則在答題卡上選涂A和B兩選;若選F為答案時(shí),則在答題卡上選涂A和C兩項(xiàng);若選G為答案時(shí),則在答題卡上選涂A和D兩項(xiàng)。
---Hello. Can I speak to Wu Min, please?
---______6_______
---Hello, Wu Min. This is Wang Hong. Sorry to ring you so late in the evening, but I’ve only just got home.
---______7______ What can I do for you?
---I’d like to ask you about some stamps. Do you still have the cock year stamp? You had it when I last saw you.
---I’m afraid I don’t have it. I sold it last week.
---_____8_______
---I’m sorry. I didn’t know you wanted it. ____9______
---Yes, please. Thank you. It’s very kind of you.
---______10_______
---Thank you very much.
---Bye-bye.
A.Do you like collecting stamps so much? |
B.That’s all right. |
C.Sorry, Wu Min is out. |
D.Do you want me to find one for you? |
E.Oh, what a pity!
F.Yes, speaking.
G.OK, I’ll ring you if I have any news.
根據(jù)情景對(duì)話和內(nèi)容,從對(duì)話后所給的選項(xiàng)中選出能填入空白處的最佳選項(xiàng),并在答題卡上將該選項(xiàng)涂黑。注意:若選E為答案是,則在答題卡上選涂A和B兩選;若選F為答案時(shí),則在答題卡上選涂A和C兩項(xiàng);若選G為答案時(shí),則在答題卡上選涂A和D兩項(xiàng)。
---Hello. Can I speak to Wu Min, please?
---_____1._______
---Hello, Wu Min. This is Wang Hong. Sorry to ring you so late in the evening, but I’ve only just got home.
---_____2.______ What can I do for you?
---I’d like to ask you about some stamps. Do you still have the cock year stamp? You had it when I last saw you.
---I’m afraid I don’t have it. I sold it last week.
---____3.______
---I’m sorry. I didn’t know you wanted it. __4._____
---Yes, please. Thank you. It’s very kind of you.
---____5.______
---Thank you very much.
---Bye-bye.
A. Do you like collecting stamps so much
B. That’s all right.
C. Sorry, Wu Min is out.
D. Do you want me to find one for you?
E. Oh, what a pity!
F. Yes, speaking.
G. OK, I’ll ring you if I have any news.
根據(jù)情景對(duì)話和內(nèi)容,從對(duì)話后所給的選項(xiàng)中選出能填入空白處的最佳選項(xiàng),并在答題卡上將該選項(xiàng)涂黑。注意:若選E為答案是,則在答題卡上選涂A和B兩選;若選F為答案時(shí),則在答題卡上選涂A和C兩項(xiàng);若選G為答案時(shí),則在答題卡上選涂A和D兩項(xiàng)。
---Hello. Can I speak to Wu Min, please?
---______6_______
---Hello, Wu Min. This is Wang Hong. Sorry to ring you so late in the evening, but I’ve only just got home.
---______7______ What can I do for you?
---I’d like to ask you about some stamps. Do you still have the cock year stamp? You had it when I last saw you.
---I’m afraid I don’t have it. I sold it last week.
---_____8_______
---I’m sorry. I didn’t know you wanted it. ____9______
---Yes, please. Thank you. It’s very kind of you.
---______10_______
---Thank you very much.
---Bye-bye.
A.Do you like collecting stamps so much?
B.That’s all right.
C.Sorry, Wu Min is out.
D.Do you want me to find one for you?
E.Oh, what a pity!
F.Yes, speaking.
G.OK, I’ll ring you if I have any news.
根據(jù)情景對(duì)話和內(nèi)容,從對(duì)話后所給的選項(xiàng)中選出能填入空白處的最佳選項(xiàng),并在答題卡上將該選項(xiàng)涂黑。注意:若選E為答案是,則在答題卡上選涂A和B兩選;若選F為答案時(shí),則在答題卡上選涂A和C兩項(xiàng);若選G為答案時(shí),則在答題卡上選涂A和D兩項(xiàng)。
---Hello. Can I speak to Wu Min, please?
---______6_______
---Hello, Wu Min. This is Wang Hong. Sorry to ring you so late in the evening, but I’ve only just got home.
---______7______ What can I do for you?
---I’d like to ask you about some stamps. Do you still have the cock year stamp? You had it when I last saw you.
---I’m afraid I don’t have it. I sold it last week.
---_____8_______
---I’m sorry. I didn’t know you wanted it. ____9______
---Yes, please. Thank you. It’s very kind of you.
---______10_______
---Thank you very much.
---Bye-bye.
A.Do you like collecting stamps so much?
B.That’s all right.
C.Sorry, Wu Min is out.
D.Do you want me to find one for you?
E.Oh, what a pity!
F.Yes, speaking.
G.OK, I’ll ring you if I have any news.
1.解析:,故選A。
2.解析:抽取回族學(xué)生人數(shù)是,故選B。
3.解析:由,得,此時(shí),所以,,故選C。
4.解析:∵∥,∴,∴,故選C。
5.解析:設(shè)公差為,由題意得,;,解得或,故選C。
6.解析:∵雙曲線的右焦點(diǎn)到一條漸近線的距離等于焦距的,∴,又∵,∴,∴雙曲線的漸近線方程是,故選D.
7.解析:∵、為正實(shí)數(shù),∴,∴;由均值不等式得恒成立,,故②不恒成立,又因?yàn)楹瘮?shù)在是增函數(shù),∴,故恒成立的不等式是①③④。故選C.
8.解析:∵,∴在區(qū)間上恒成立,即在區(qū)間上恒成立,∴,故選D。
9.解析:∵
,∴此函數(shù)的最小正周期是,故選C。
10.解析:如圖,∵正三角形的邊長為,∴,∴,又∵,∴,故選D。
11.解析:∵在區(qū)間上是增函數(shù)且,∴其反函數(shù)在區(qū)間上是增函數(shù),∴,故選A
12.解析:如圖,①當(dāng)或時(shí),圓面被分成2塊,涂色方法有20種;②當(dāng)或時(shí),圓面被分成3塊,涂色方法有60種;
③當(dāng)時(shí),圓面被分成4塊,涂色方法有120種,所以m的取值范圍是,故選A。
13.解析:將代入結(jié)果為,∴時(shí),表示直線右側(cè)區(qū)域,反之,若表示直線右側(cè)區(qū)域,則,∴是充分不必要條件。
14.解析:∵,∴時(shí),,又時(shí),滿足上式,因此,。
15.解析:設(shè)正四面體的棱長為,連,取的中點(diǎn),連,∵為的中點(diǎn),∴∥,∴或其補(bǔ)角為與所成角,∵,,∴,∴,又∵,∴,∴與所成角的余弦值為。
16.解析:∵,∴,∵點(diǎn)為的準(zhǔn)線與軸的交點(diǎn),由向量的加法法則及拋物線的對(duì)稱性可知,點(diǎn)為拋物線上關(guān)于軸對(duì)稱的兩點(diǎn)且做出圖形如右圖,其中為點(diǎn)到準(zhǔn)線的距離,四邊形為菱形,∴,∴,∴,∴,∴,∴向量與的夾角為。
17.(10分)解析:(Ⅰ)由正弦定理得,,,…2分
∴,,………4分
(Ⅱ)∵,,∴,∴,………………………6分
又∵,∴,∴,………………………8分
∴!10分
18.解析:(Ⅰ)∵,∴;……………………理3文4分
(Ⅱ)∵三科會(huì)考不合格的概率均為,∴學(xué)生甲不能拿到高中畢業(yè)證的概率;……………………理6文8分
(Ⅲ)∵每科得A,B的概率分別為,∴學(xué)生甲被評(píng)為三好學(xué)生的概率為!12分
19.(12分)解析:(Ⅰ)∵,∴,
,,……………3分
(Ⅱ)∵,∴,
∴,
又,∴數(shù)列自第2項(xiàng)起是公比為的等比數(shù)列,………………………6分
∴,………………………8分
(Ⅲ)∵,∴,………………10分
∴!12分
20.解析:(Ⅰ)∵∥,,∴,∵底面,∴,∴平面,∴,又∵平面,∴,∴平面,∴!4分
(Ⅱ)∵平面,∴,,∴為二面角的平面角,………………………6分
,,∴,又∵平面,,∴,∴二面角的正切值的大小為。………………………8分
(Ⅲ)過點(diǎn)做∥,交于點(diǎn),∵平面,∴為在平面內(nèi)的射影,∴為與平面所成的角,………………………10分
∵,∴,又∵∥,∴和與平面所成的角相等,∴與平面所成角的正切值為!12分
解法2:如圖建立空間直角坐標(biāo)系,(Ⅰ)∵,,∴點(diǎn)的坐標(biāo)分別是,,,∴,,設(shè),∵平面,∴,∴,取,∴,∴!4分
(Ⅱ)設(shè)二面角的大小為,∵平面的法向量是,平面的法向量是,∴,∴,∴二面角的正切值的大小為!8分
(Ⅲ)設(shè)與平面所成角的大小為,∵平面的法向量是,,∴,∴,∴與平面所成角的正切值為。………………………12分
21.解析:(Ⅰ)設(shè)拋物線方程為,將代入方程得
所以拋物線方程為!2分
由題意知橢圓的焦點(diǎn)為、。
設(shè)橢圓的方程為,
∵過點(diǎn),∴,解得,,,
∴橢圓的方程為!5分
(Ⅱ)設(shè)的中點(diǎn)為,的方程為:,
以為直徑的圓交于兩點(diǎn),中點(diǎn)為。
設(shè),則
∵
………………………8分
∴
………………………10分
當(dāng)時(shí),,,
此時(shí),直線的方程為!12分
22.(12分)解析:(Ⅰ)∵是偶函數(shù),∴,
又∵∴,,………………………2分
由得,,
∵時(shí),;時(shí),;時(shí),;∴時(shí),函數(shù)
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