解题方法
1 . 如图,在平面四边形
中,
,
,记
与
的面积分别为
, 则
的值为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27db558e8db4c957654c8e5cecd2d2dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b899bfd0597444039b66657878d37533.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a783e5ffcf7a4ea9e531ea76199487.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76b982b4ed3b75609bda6af3914986d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ae89bd2dd0a18e1afb5b1a1abd0efd.png)
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解题方法
2 . 对任意
,不等式
恒成立,则实数
的取值范围是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8c164755dc2d7cff80fb4c9cffc9be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4791eedb5cadcba537b4a1f17f31e6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3 . 若一组数据
的方差是5,则数据
的方差是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe1c31a81f198c443e71b83ca662939.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0539afa6a847e42683ddc877e5264b8d.png)
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解题方法
4 . 已知函数
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0d0a191ad038b6fc08d08311048d228.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb04d514baf56eec084671b88898770b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98cf78bc7435d06dd8a9112c5c8a178b.png)
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5 . 已知实数
满足
,设
,则
的最大为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa845bf3a1b8e0b5697889b8560bffaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0986bc3ccec5c0da395bc78f962eed30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da0d6f6a62b180f22f0a7963274acdc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1019d4ad2e3fb4a7abb66e0e9e55b556.png)
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6 . 如图,是根据某家长某月的通话明细清单,按每次通话时间长短画出的频率分布直方图,估计这组数据的第50百分位数为__________ .(保留小数点后面一位)
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解题方法
7 . 已知
是互斥事件,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2731eecd8ff3e2264eebfd7cbbaaea1b.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd474efe27d80548388d8182222a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2731eecd8ff3e2264eebfd7cbbaaea1b.png)
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8 . 已知函数
(
表示不超过
的最大整数),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45987157289348c4a401551ffd7cb820.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e6b1826b8eadc1e9361d2f989545df0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45987157289348c4a401551ffd7cb820.png)
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解题方法
9 . 已知向量
为互相垂直的两个单位向量,若向量
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5a4a9537264201de1f4c0b5dd236077.png)
,则当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
__________ 时,
取到最小值;此时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e00665a8c1971c54615a013740a0171.png)
的最小值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10814bc3db929e79874befe96cf4e3d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5719d3ef48c90aba13985cd42f9469f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5a4a9537264201de1f4c0b5dd236077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3000ec4b24dc6547cd7aaafa7c4b4405.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87aafc1e049160afcf94f26f330012be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e00665a8c1971c54615a013740a0171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59adb100c1a95619a62c5fd5a07aade1.png)
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10 . 已知正实数
,
满足
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98ae872ce8e0ca1d7c5ead7565d8d2ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69ee29ca15fba67a20f9963ed9b66ca7.png)
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