1 . 如图,已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
交抛物线于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
两点,其参数方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cacd6a6ba12b109ee0374293a90a7a8.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
为参数,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4313f830e9be762a14205f2c2141d7.png)
),抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
的焦点为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
.求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bece4bb3068ac3b5f9c875f1111c24.png)
为定值.
2019-05-29更新
|
342次组卷
|
1卷引用:【全国百强校】吉林省蛟河市第一中学2018-2019学年高二下学期期中考试数学(文)试题
2 . 已知抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e8953ded144195804384dcb494d5e2a.png)
上一点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48d25e70d37af93796965efc8d342185.png)
,动弦
ME、
MF分别交
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
轴于
A、
B两点,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ecb9581622f4820971cc55f480fa531.png)
.证明:直线
EF的斜率为定值.
2016-11-30更新
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799次组卷
|
2卷引用:2010年吉林省长春市十一中高二上学期期中考试数学理卷(已下线)2010年吉林省长春市十一中高二上学期期中考试数学理卷(已下线)2010年吉林省长春市十一中高二上学期期中考试数学文卷