1 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab22cfb22a1fd22faee1ba8159a8a8b8.png)
存在 ,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab22cfb22a1fd22faee1ba8159a8a8b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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真题
2 . 计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/511b199ca0f580d4e25715c61591b132.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/511b199ca0f580d4e25715c61591b132.png)
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3 . 已知边长为1的正三角形
的边
上有
(
)个点
,使得
(
,
).则
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad491e5b5e14c49ef8b7004ebcfcef9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a949b947e9961d4d68bfeb4e24ef40f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2c3afc6ecfba8e4bcd1e9bb42dd6021.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb3a9d0282c510771f101a656987c4d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e36bff57bcfa86432b340e25e51d42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c037a8f3777b6199f79ec3192ed7db0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c6c8646a288ed4c5f32772584bc8a7a.png)
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4 . 若
是二项式
展开式
的系数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0942ce6a9ef9ca1ba9424d2142f54889.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0211821552ad0c4665f07ba278e97993.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0942ce6a9ef9ca1ba9424d2142f54889.png)
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5 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da6b25820fc52f98c05452e002dcd1ed.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da6b25820fc52f98c05452e002dcd1ed.png)
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名校
6 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6735572e2ffaa203979486c9e40c4a0c.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6735572e2ffaa203979486c9e40c4a0c.png)
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名校
7 . 无穷等比数列的前
项和
,则该数列所有项的和为___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b45e70e002f003436b1d3579767b15c.png)
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名校
8 . 若等差数列
的前
项和为
,且
,则数列
的通项公式为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0759570df58c3147632dd6f1a1a5414e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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9 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acde01a912fd860f6a24a3f02b813b3c.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acde01a912fd860f6a24a3f02b813b3c.png)
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10 . 在数列
中,若
,求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a42b7cf61ab8c18dcf4d48152c4981a.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5783f5c758cde23cff7592d685c9cb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a42b7cf61ab8c18dcf4d48152c4981a.png)
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