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(6)在等比數列的值為 (A) 9 (B) 1 (C)2 (D)3 查看更多

 

題目列表(包括答案和解析)

 在等比數列的值為(  )

A.1          B.2            C.3            D. 9

 

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在等比數列的值為(    )                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

    A.9           B.1  C.2    D.3

 

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在等比數列的值為(    )                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

    A.9           B.1  C.2    D.3

 

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在等比數列的值為 (   )

    A.1            B.2                C.3                D. 9  

 

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在等比數列的值為  (    )

       A.9                B.1                C.2         D.3

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    2009.3

一、選擇題

(1)B  (2)A  (3)B (4)C (5)B (6)D

(7)D   (8)C  (9)C (10)B (11)A (12)C

二、填空題

1,3,5

三、解答題

(17)解:(Ⅰ)-             ---------------------------2分

高三年級人數為-------------------------3分

現用分層抽樣的方法在全校抽取48名學生,應在高三年級抽取的人數為

(人).                       --------------------------------------6分

(Ⅱ)設“高三年級女生比男生多”為事件,高三年級女生、男生數記為.

由(Ⅰ)知

則基本事件空間包含的基本事件有

共11個,     ------------------------------9分

事件包含的基本事件有

共5個   

                --------------------------------------------------------------11分

答:高三年級女生比男生多的概率為.  …………………………………………12分

(18)解:(Ⅰ)  …………2分

中,由于

                                        …………3分

                       

,所以,而,因此.…………6分

   (Ⅱ)由

由正弦定理得                                …………8分

,由(Ⅰ)知,所以    …………10分

由余弦弦定理得 ,     …………11分

                                               …………12分

(19)(Ⅰ)證明:∵分別為的中點,∴.

     又∵平面平面

平面                                         …………4分

(Ⅱ)∵,∴平面.

又∵,∴平面.

平面,∴平面平面.               …………8分

(Ⅲ)∵平面,∴是三棱錐的高.

在Rt△中,.

    在Rt△中,.

 ∵的中點,

,

.        ………………12分

(20)解:(Ⅰ)依題意得

                             …………2分

 解得,                                             …………4分

.       …………6分

   (Ⅱ)由已知得,                  …………8分

                                                         ………………12分

(21)解:(Ⅰ)

      令=0,得                        ………2分

因為,所以可得下表:

0

+

0

-

極大

                                                          ………………4分

因此必為最大值,∴,因此

    

    即,∴

 ∴                                       ……………6分

(Ⅱ)∵,∴等價于, ………8分

 令,則問題就是上恒成立時,求實數的取值范圍,為此只需,即,                 …………10分

解得,所以所求實數的取值范圍是[0,1].            ………………12分

(22)解:(Ⅰ)由得,

所以直線過定點(3,0),即.                       …………………2分

 設橢圓的方程為,

,解得

所以橢圓的方程為.                    ……………………5分

(Ⅱ)因為點在橢圓上運動,所以,      ………………6分

從而圓心到直線的距離

所以直線與圓恒相交.                             ……………………9分

又直線被圓截得的弦長

,       …………12分

由于,所以,則,

即直線被圓截得的弦長的取值范圍是.  …………………14分

 

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