1 . 定义
表示
、
、
、
中的最小值,
表示
、
、
、
中的最大值,设
,已知
或
,则
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3da7f26cf36177a1f1a2531b44c54c34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eede50660c662b097cc5dd35c6a46fa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c911d793f66ddc046c2854347e0866c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88d81b49154bf53d90c92dbab4135571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c73a4595b70bc7ed799b54e0f07c6fa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6017eced70f8819ec6b7ec5cafe2c7d2.png)
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解题方法
2 . 如图,在平面直角坐标系
中,双曲线
的上下焦点分别为
.已知点
和
都在双曲线上,其中
为双曲线的离心率.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/6/a6dc08c7-70f9-4daf-a3ef-ebeca0222160.png?resizew=167)
(1)求双曲线的方程;
(2)设
是双曲线上位于
轴右方的两点,且直线
与直线
平行,
与
交于点
.
(I)若
,求直线
的斜率;
(II)求证:
是定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7795aec93c2c7ac2fd93e6747ca6516c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdf3827864712be547ff16252f43baae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6d2b272b441a87d2f253fae0b19eefd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f5b0f68545a8d59361331bcb6c2b06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/481c543b01d90183de82d82433bfa49e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/6/a6dc08c7-70f9-4daf-a3ef-ebeca0222160.png?resizew=167)
(1)求双曲线的方程;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabea664e61863b3b3279dbce607924e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3656055f5256cd06e636ea96e9f89c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86dbcf83cd5d3421b3eed7be7dab32d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbad65b3d744b70da2480eee1cdb587.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(I)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc2fda21bd0a804fcd893a65cefaa701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabea664e61863b3b3279dbce607924e.png)
(II)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/762d2c5304d4b9a6867a359dbecb0956.png)
您最近一年使用:0次
2024-01-03更新
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468次组卷
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3卷引用:江西省新余市第一中学2023-2024学年高二下学期开学考试数学试卷