10-11高二下·上海·期末
1 . 已知
.
(1)若
,求
的值;
(2)若
,求
中含
项的系数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dacd62755047aa73baeb8025df122be.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f8ec4b159dfc3fe0b6a2c5c4daf65f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dfc6b299bfbf1b0cfed24e875066ea6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beafc086cb04d1ba7e6893c9891c6346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e06f5fe6e701f1bceaaca31071b564b.png)
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11-12高二上·湖北黄冈·期中
2 . 已知
的展开式中
的系数为11.
(1)求
的系数取最小值时n的值;
(2)当
的系数取得最小值时,求
展开式中
的奇次幂项的系数之和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8793321db97f9fd534bc30e428ad27da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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3 . 设
,若
,
,
成等差数列.
(1)求
展开式的中间项;
(2)求
展开式中所有含x奇次幂的系数和;
(3)求
展开式中系数最大项.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc68eeb0733fa4033d286e0c8192ea26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc2d8fbfbdc775ca4d8fdc2ea45bf28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b42791b77924729f7e31712177b26af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb5ca241bb7c313ef0366d3ddba93bc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed7374244f6d94e118984631f7a34892.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed7374244f6d94e118984631f7a34892.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ea666f4a56f39bd1ce4e516b2c7ce97.png)
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2011高三·河北·专题练习
4 . 设
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be5583be0614564c8767847de7beadcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5027e4659d49d693c73a0f4f12d3c7b4.png)
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名校
解题方法
5 . 回答下面两题
(1)二项式
展开式中所有二项式系数和为32,求其二项展开式中x的系数;
(2)已知
,求
的值.
(1)二项式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0af4f2e374dae6a71881bb2ac7482860.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52ca09ea977b6805fc44d8a96064574a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5378e3b5caf3e626c5e1349d2dd75b8.png)
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解题方法
6 . 若
,求:
(1)
;
(2)
;
(3)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151645d1eea44a081efb895a8fe4dc78.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235474ba971bf99eefacced8f794e342.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6a766e037468d9c6e4bade3de283ae8.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/476542265d87a5247eac58929bf9bee2.png)
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名校
解题方法
7 . 若
.
(1)求
的值;
(2)求
的值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5eece769ee3a5435d046e98e2a1a9ed.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ffb8eea4694e64c262410d6739e41fb.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c99d2f4df72b1ecb7b1c82605d539b4.png)
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