1 . 已知双曲线
.
(1)求证:
是双曲线C的一条渐近线方程;
(2)求证:双曲线C的图像在不等式组
,表示的平面区域内.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71af22a28e7ed3fc1df100e14d266c5.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d585d2d6643471640905d234d9538c5.png)
(2)求证:双曲线C的图像在不等式组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151dbb205da60c8304b83b474a944f01.png)
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2022高三·全国·专题练习
解题方法
2 . 已知函数
.
(1)
(1)
成立,求
的取值范围;
(2)若
在区间
上有两个零点,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92294103b1317ca530f5eb075f668d7.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23a6ce9eed9d3d6a6967572baa68d3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022d5937428ab378be468ceca636220.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e6b685cee0668f1f2400324a81ee62.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fef9380b394a4bd829c83a5a5b4c859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3f5c08e8b47798c6454665ef6d5aa39.png)
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