真题
1 . 已知抛物线
和三个点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/292884c8998d7924591a6f2787ce1596.png)
,过点
的一条直线交抛物线于
、
两点,
的延长线分别交曲线
于
.
(1)证明
三点共线;
(2)如果
、
、
、
四点共线,问:是否存在
,使以线段
为直径的圆与抛物线有异于
、
的交点?如果存在,求出
的取值范围,并求出该交点到直线
的距离;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/292884c8998d7924591a6f2787ce1596.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21058e511e1aeb0330048ad6cad1d434.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/6acf9e2f45e625cbc6d26dd5e292edd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9b288c48c73463a2f214f02b6952a.png)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ab9714629add1e70f61b92da2736708.png)
(2)如果
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8112f9185c7d48b015d9cd0525616b31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/8112f9185c7d48b015d9cd0525616b31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/6508f32f-e384-4412-a520-e56654a8c04b.png?resizew=199)
您最近一年使用:0次
2016-11-30更新
|
1442次组卷
|
2卷引用:2008年普通高等学校招生全国统一考试数学文科(江西卷)