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1 . 已知
,则函数
的值域是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5cdde751120c6deab563a6f7f8cf05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36da2de853bf8db10d05ecbe3347351b.png)
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2 . 已知
,则
的解集为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d6f5e0fc17ecdc162bac48b3d0ae34e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b573cff5a51a93471d4d037063af4f3.png)
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解题方法
3 . 在
中,
,则以
为焦点,且过
点的双曲线的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebbcd637d43be1d298808149fdeb9eee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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4 . 已知三个球的半径
满足
,且它们的表面积分别为
,体积分别为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e6b1bf91b610435f4058d2d580bbff.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8793a2b73ba1cf0380e4d7881ed2690.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532333845f3ec4309b8c7c7a1b1b1ef1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf46692de7437b7f57afb653a0451b93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e1fa43badbcca84eb7310e1e039335.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e6b1bf91b610435f4058d2d580bbff.png)
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5 . 已知圆
的一般方程为
,则圆
的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f6a96a5c814ff54e5bfa9243883cf8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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6 . 设
,若存在唯一一组
使得
成立,其中
为实数,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdfe97c8c891f67db4335526f31d491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5fc655bd2674be1a56dbdaf65e68c40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
7 . 已知函数
对任意实数
都有
成立,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e2832bb67f71d0696477f1e0e4be15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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8 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b1029ae8e4120c872408387aea94a3.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f4d9f0794cf3aea460574299d3134b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b1029ae8e4120c872408387aea94a3.png)
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9 . 将角度化为弧度:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0b2dec85cd0444579de51f65bb5028a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0b2dec85cd0444579de51f65bb5028a.png)
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10 . 已知边长为3的正
的三个顶点都在球O的表面上,且
与平面
所成的角为
,则球O的表面积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
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