名校
解题方法
1 . 同时抛掷两颗骰子,得到点数分别为
,则
的概率是___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66b098698b30b10170217f4dae33e845.png)
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2 . 已知
,则
的值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de2c0b72c0cb3c8bb08dbac3290de92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/184dbf3cdee979a64e01dc89795ebfb0.png)
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3 . 在四面体
中,
,且异面直线
与
所成的角为
,则四面体
的外接球的表面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98236fdd6f09e0cb49aeae8242487c18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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4 . 已知
是定义在
上的偶函数,当
,且
时,
恒成立,
,则满足
的
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4fdd7c4c8313a9f9df525a4a3e46d2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c28967904a688343761d856a8c29d55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93acdd1905e7b9374f0644820fb3fd71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/819db5ade82b0659c2f6c1f33dc68384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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5 . 已知定义在
上的函数
满足:
,则不等式
的解集为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea729e249a43cf07c31634ab3b4c98d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7623bb7c826abc714235ef0e7052ad08.png)
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6 . 在矩形
中,
,
,E为
的中点,F为
的中点,Q为边
上的动点(包括端点),则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25a183c9577e8730b7962f75fc3f6e0c.png)
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解题方法
7 .
中,
,分别为角
的对边,若
,则
的面积
的最小值为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/361a5aece977a6c4e2fdf5c6618c659f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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解题方法
8 . 已知函数
,若沿
轴方向平移
的图象,总能保证平移后的曲线与直线
在区间
上至少有2个交点,至多有3个交点,则正实数
的取值范围为______ (建议:作答写成区间.)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06f6f18982d22e022b93bec7c8130a7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55cfcbb5c5950e18a8452b38bb17036.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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解题方法
9 . 已知向量
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61df6db5f13202396a800df639732c9b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e139e7cec9ef14acedae556ebcd9fc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0601da78869330b870d420dbebc674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2558ead24d56fb372fef95c10fddd3fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61df6db5f13202396a800df639732c9b.png)
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10 . 已知扇形的半径为3,中心角为
,则这个扇形围成的圆锥的内切球的体积是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cbb1eec186a57915e5aced5edce78c.png)
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