题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022502-92730.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022502-10806.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022502-42544.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022502-70729.png)
(1)求k的取值范围,并求
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022502-95395.png)
(2)记直线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022503-16252.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022503-59470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022503-33225.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022503-82263.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022504-60840.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022504-61067.png)
(2) 定值-(3+2
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022504-61067.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022504-30957.png)
∴m2=1+k2,①
由
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022504-49619.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022505-60422.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022505-55192.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022505-62429.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022505-29458.png)
由于
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022505-23072.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022506-93730.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022506-76851.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022506-11309.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022502-95395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022504-61067.png)
(2)由已知可得
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022506-80386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022507-40255.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022507-83967.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022507-71123.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022504-60840.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022507-89804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022507-99744.png)
=
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022508-97243.png)
=
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022508-52721.png)
=
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022508-69488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022508-88937.png)
由①,得
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022509-45452.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022504-60840.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022509-70295.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022504-61067.png)
核心考点
试题【如图,已知双曲线的左、右顶点分别为A1、A2,动直线l:y=kx+m与圆相切,且与双曲线左、右两支的交点分别为.(1)求k的取值范围,并求的最小值;(2)记直线】;主要考察你对双曲线的定义与方程等知识点的理解。[详细]
举一反三
(1)求双曲线方程;
(2)设Q是双曲线上一点,且过点F,Q的直线l与y轴交于点M,若
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022454-46803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022454-19286.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022445-86822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022445-44322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022445-18186.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022445-43508.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022445-91128.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022445-86822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022445-21874.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022446-39975.png)
(1)求轨迹
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022445-21874.png)
(2)设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022446-25029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022446-81221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022446-69991.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022445-21874.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022447-92570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022447-98586.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022447-37424.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022437-65080.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022437-98291.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022437-46818.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022437-27671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022437-66207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022437-45697.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022437-36467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022437-46009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022438-28289.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022438-49087.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022438-73787.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022426-14770.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022421-22809.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022421-69035.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022421-67879.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022421-41301.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022421-22809.png)
的距离为
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022421-57392.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024022421-22809.png)
A.2 | B.![]() | C.![]() | D.![]() |
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