解题方法
1 . 已知
,点P满足
,动点M,N满足
,
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f96f0155ccaa463d45dbdecda29b6636.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1442f2bcbe29f4b17ddc20bd9e52a519.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebee78de2de62b9a131f5330d359a905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7352a957df124ba5b2f14d50b00496d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d8eb37a4dd75318dcbd836395e575bd.png)
A.3 | B.![]() | C.4 | D.![]() |
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2022-11-26更新
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5卷引用:贵州省遵义市2023届高三上学期第三次月考数学(文)试题
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解题方法
2 . 已知双曲线C的焦点在y轴,对称中心O为坐标原点,焦距为
,且过![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c98c3c449a71a7294912642f80b66640.png)
(1)求C的方程
(2)若斜率为2的直线l与C交于P,Q两点,且
,求|PQ|.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b10e8abf8690e4b129466ddb918bcc94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c98c3c449a71a7294912642f80b66640.png)
(1)求C的方程
(2)若斜率为2的直线l与C交于P,Q两点,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bc7a56df6ed779db8850abe8882a4d.png)
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2022-11-10更新
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4卷引用:贵州省黔西南州2021-2022学年高二下学期期末质量检测数学(文)试题
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解题方法
3 . 如图,在平面直角坐标系中,
分别为双曲线
的左、右焦点,双曲线离心率为
,若点
为双曲线右支上一点,且
,直线
交双曲线于
点,点
为线段
的中点,延长
,分别与双曲线
交于
两点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/27/2a04c310-e16b-4d74-b9ca-2cd997eaf425.png?resizew=255)
(1)若
,求证:
;
(2)若直线
的斜率都存在,且依次设为
.试判断
是否为定值,如果是,请求出
的值;如果不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d864b6ecea3656003f9b82757926ef88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc7f81d661b9cb1b6b61e2992a18296.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86dbcf83cd5d3421b3eed7be7dab32d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438b087a3b66f48298b5a944629adb44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28a77aa6c27acfffcc601d9ca7e6d4c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/27/2a04c310-e16b-4d74-b9ca-2cd997eaf425.png?resizew=255)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3a1467ecf286e3cadaf5aa006606f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eab0357b5e80a6fa5b1c51a2f01be14.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b487a48fb03928254b978f9245418515.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a3f348a942d468f0d77c0dfbb41d87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a3f348a942d468f0d77c0dfbb41d87.png)
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2022-03-17更新
|
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4卷引用:贵州省贵阳市第一中学2022届高三高考适应性月考(六)数学(理)试题