1 . 二次函数
的图象过原点,且对
,恒有
.设数列
满足
.
(1)求函数
的表达式;
(2)证明:
;
(3)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d05bfb81fb639a2697789174ac6f21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f42d5d041e7b2e9845d14f514abb74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06460a6476a03d14d02e54838f7ebfc0.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07fc1b0b327cb6f0610b59ce5d96fb82.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d998de826421583976814041e887c2a.png)
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2015-11-27更新
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373次组卷
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2卷引用:2015届浙江宁波效实中学高三上学期期中理科数学试卷