(6)在等比數(shù)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(shù)列的值為(  )

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

 

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在等比數(shù)列的值為(    )                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

    A.9           B.1  C.2    D.3

 

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在等比數(shù)列的值為(    )                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

    A.9           B.1  C.2    D.3

 

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在等比數(shù)列的值為 (   )

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

 

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在等比數(shù)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

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              1,3,5

              三、解答題

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

              高三年級人數(shù)為-------------------------3分

              現(xiàn)用分層抽樣的方法在全校抽取48名學(xué)生,應(yīng)在高三年級抽取的人數(shù)為

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

              (Ⅱ)設(shè)“高三年級女生比男生多”為事件,高三年級女生、男生數(shù)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(shù)的取值范圍,為此只需,即,                 …………10分

              解得,所以所求實數(shù)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(shè)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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