真题
名校
1 . 请先阅读:
在等式
(
)的两边求导,得:
,由求导法则,得
,化简得等式:
.
(1)利用上题的想法(或其他方法),结合等式
(
,正整数
),证明:
.
(2)对于正整数
,求证:
(i)
; (ii)
; (iii)
.
在等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32eac4b7f177c041219fab18de973c5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc1e9d6c038e98eb3ced183bb6dcc53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d0035911136a83c7915137c3438e055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92ba7e0c985c673fbb513b4a97d93746.png)
(1)利用上题的想法(或其他方法),结合等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9641914b1dcb9c0097550aebead97810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/910adb8a80fceb7949c3526087947220.png)
(2)对于正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
(i)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba5c659f6e87ab7327ef8c3b3368ab23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbe3f70202a3b38d077fe431a6e63099.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a002cedddac1e750b5e3f204974078.png)
您最近一年使用:0次
2016-11-30更新
|
2395次组卷
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4卷引用:2008年普通高等学校招生全国统一考试数学试题(江苏卷)