1 . 已知抛物线
的焦点为
,圆
与
交于
两点,其中点
在第一象限,点
在直线
上运动,记
.
①当
时,有
;
②当
时,有
;
③
可能是等腰直角三角形;
其中命题中正确的有__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa2c731aaa4005382d5b4324e29fbb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56648a303009f944e1a9983c3f62c7b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bbc161cf1578e0c4971ec8fac62bbe2.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4990b135057293a0111b78fc068fa13b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50145f327f2e657a96b1c0362c88a012.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90680329d32003f001a232230afcfdeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1d99ddb507b59edc658f634384a4c41.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
其中命题中正确的有
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2023-01-13更新
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802次组卷
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4卷引用:四川省绵阳市南山中学实验学校2024届高三上学期12月月考数学(理)试题
2 . 如图,已知抛物线
与圆
相交于A,B,C,D四点.
为直径的圆经过点M,求抛物线C的方程;
(2)设四边形
两条对角线的交点为E,点E是否为定点?若是,求出点E的坐标;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82d0ea3f3f71085238604012cba12c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)设四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次