1 . 如图,已知点
,
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/5/ac8e04d8-298f-43ad-b8bc-d00cacb3efa6.png?resizew=123)
直线
,
为平面上的动点,过
作直线
的垂线,垂足为点
,且
.
(1)求动点
的轨迹方程
;
(2)过点
的直线交轨迹
于
两点,交直线
于点
,已知
,
,求
的值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ba2238d6afe0187534155dd9ac48c6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/5/ac8e04d8-298f-43ad-b8bc-d00cacb3efa6.png?resizew=123)
直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4180dae966f648d368a10edf3b7e3c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a027756ba55589fd29afcc4050eee470.png)
(1)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e41f4f388a3a5465f2cb919c49b974.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8243aa5ddb0fbf9e98f019de7a5ea810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32705e629d8b9187b53efeee6605af15.png)
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2019-01-30更新
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6卷引用:山西省忻州市偏关县中学校2021-2022学年高三上学期期末数学试题