题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100710-16061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100710-31832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100710-54271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100710-31832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100710-40501.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100710-78247.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100710-37255.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100710-69741.png)
(Ⅰ)若线段
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100710-62012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100710-21641.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100710-54271.png)
(Ⅱ)若线段
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100711-49499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100710-54271.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100711-28844.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100711-76282.png)
解析
试题分析:(Ⅰ)根据已知条件设出未知的点的坐标和斜率,根据两点间的斜率公式和中点坐标公式找等价关系,求出直线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100710-54271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100711-22017.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100710-54271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100711-52777.png)
试题解析:解:(Ⅰ)由已知得交点坐标为
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100711-22017.png)
设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100710-54271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100711-49385.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100711-68082.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100711-99865.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100710-62012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100711-28001.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100711-69267.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100711-71130.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100712-54240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100712-64402.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100712-52965.png)
故直线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100710-54271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100711-28844.png)
(Ⅱ)设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100710-54271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100711-52777.png)
与抛物线方程联立得
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100712-98873.png)
消元得
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100713-18098.png)
所以有
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100713-56144.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100713-15118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100713-14659.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100713-95091.png)
所以有
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100714-71767.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100714-16157.png)
所以直线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100710-54271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100714-11153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100711-76282.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100657-87104.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100657-41819.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100658-25127.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100658-60960.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100658-85840.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100658-67192.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100659-76799.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100649-67674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100649-54563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100649-73424.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100649-50715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100649-25047.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100649-46281.jpg)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100649-94883.png)
(2)记直线MN的斜率为
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100650-71397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100650-88454.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100650-94577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100641-39965.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100641-50724.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100642-18014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100642-69445.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100642-69445.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100642-80476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100642-36881.png)
(1)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100642-80476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100642-76548.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100642-70846.png)
(2)设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100642-24611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100643-38382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100643-69866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100630-33744.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100630-21969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100630-48591.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100630-45754.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100631-62430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100631-12628.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100631-43044.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100631-58901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100631-29341.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100625-67575.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024100625-51314.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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