解题方法
1 . 已知抛物线C:y2=4x.
(1)若C与圆G:(x﹣4)2+y2=13在第一象限内交于M,N两点,求直线MN的方程;
(2)直线l过点D(﹣1,0)交C于A,B两点,点B关于x轴的对称点为E,直线AE交x轴于点P,求证:P为定点.
(1)若C与圆G:(x﹣4)2+y2=13在第一象限内交于M,N两点,求直线MN的方程;
(2)直线l过点D(﹣1,0)交C于A,B两点,点B关于x轴的对称点为E,直线AE交x轴于点P,求证:P为定点.
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2022-04-07更新
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5卷引用:陕西省渭南市澄城县2023-2024学年高二上学期期中文化课检测数学试题
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名校
解题方法
2 . 已知圆
与抛物线
相交于点
,
,
,
,且在四边形
中,
.
![](https://img.xkw.com/dksih/QBM/2021/11/11/2848908578332672/2849264380796928/STEM/67a86025e398470c9902f7c282e47d69.png?resizew=227)
(1)若
,求实数
的值;
(2)设
与
相交于点
,
与
组成蝶形的面积为
,求点
的坐标及
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/519d5dfc27226492c7003c73534624bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb9757015d815d02e8e99f2475ce3e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://img.xkw.com/dksih/QBM/2021/11/11/2848908578332672/2849264380796928/STEM/67a86025e398470c9902f7c282e47d69.png?resizew=227)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2697bd158b528c992421d24cd7813c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ef4b54df90e5528f155ab2902a2eea2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffffbccf0eb96123a237860c12a1b892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
2021-11-11更新
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4卷引用:江苏省泰州中学2021-2022学年高二上学期期中数学试题