名校
解题方法
1 . 将
上各点的纵坐标变为原来的![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b78bff924572785acdc2227f4898e54f.png)
倍(横坐标不变),所得曲线为E.记
,
,过点p的直线与E交于不同的两点A,B,直线QA,QB与E分别交于点C,D.
(1)求E的方程:
(2)设直线AB,CD的倾斜角分别为
,
.当
时,
(i)求
的值:
(ii)若
有最大值,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d61985901c2bc698d72ac88f4e1eb65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b78bff924572785acdc2227f4898e54f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fd074e1ed924a49858f84cc7c0bf654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ecfca4a090b78015210871850538361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/104858bd2e55876487eade49e84d62c2.png)
(1)求E的方程:
(2)设直线AB,CD的倾斜角分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc282dae4ac9132196ac5d13f63b901.png)
(i)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ace6dde9651ac2caaff53a25abebaae5.png)
(ii)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/628560d39eeb0339fa00c9c15ab2c095.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2024-03-12更新
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1294次组卷
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2卷引用:2024届河北省邢台市部分高中二模数学试题