题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222625-60069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222625-13031.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222625-51591.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222625-73924.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222625-15728.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222625-60069.png)
(2)在椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222625-60069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222625-60069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222626-83145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222626-83145.png)
(3)设椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222625-60069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222626-68897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222625-60069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222626-44960.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222626-86554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222626-86554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222627-38186.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222627-31144.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222627-92795.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222627-10953.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222627-54755.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222628-32678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222628-45081.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222628-75618.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222628-82329.png)
解析
试题分析:(1)有离心率
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222628-68457.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222629-67685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222629-92319.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222629-90722.png)
(2)设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222626-83145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222629-27368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222629-91053.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222625-60069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222630-43162.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222630-62180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222630-43162.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222630-18958.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222630-89096.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222631-48455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222631-95574.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222631-86871.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222631-98525.png)
试题解析:(1)由
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222625-51591.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222631-98605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222632-38463.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222632-72449.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222632-14333.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222632-21609.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222632-41347.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222633-49293.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222633-98164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222625-60069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222628-82329.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222633-69533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222626-83145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222625-60069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222633-98164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222626-83145.png)
设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222626-83145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222629-27368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222629-91053.png)
联立
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222633-70438.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222634-90959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222634-70487.png)
根据题意可得方程③只有一实根,
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222634-25194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222630-43162.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222633-69533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222626-83145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222634-23637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222634-15568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222633-98164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222626-83145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222630-62180.png)
④代入⑤可得:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222634-90812.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222635-95967.png)
(3)由(1)得
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222630-18958.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222631-48455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222635-74026.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222633-98164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222630-89096.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222633-98164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222635-58497.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222627-10953.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222635-88286.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222631-86871.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222633-98164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222627-54755.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222636-64748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222631-98525.png)
点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222628-45081.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222628-32678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222636-75866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222627-54755.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222636-79339.png)
即点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222628-45081.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222636-97910.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222633-98164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222628-45081.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222628-32678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222633-98164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222628-75618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222630-18958.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222630-89096.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222631-48455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222631-95574.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222631-86871.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222631-98525.png)
核心考点
试题【已知椭圆:的离心率为且与双曲线:有共同焦点.(1)求椭圆的方程;(2)在椭圆落在第一象限的图像上任取一点作的切线,求与坐标轴围成的三角形的面积的最小值;(3)设】;主要考察你对曲线与方程的应用等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222612-14804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222612-74836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222612-45675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222612-65952.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222612-40101.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222612-28838.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222612-61473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222612-45675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222612-67268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222613-62286.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222613-62286.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222613-76486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222613-75107.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222613-85614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222612-45675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222613-21694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222613-63156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222613-99037.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222613-10061.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222612-45675.png)
(2)若点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222613-62286.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222613-56682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222613-75107.png)
(3)记
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222613-63156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222613-99037.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222613-96375.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222613-78523.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222613-43442.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222556-34781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222556-77533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222556-52633.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222556-16849.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222556-77533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222556-22941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222557-75568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222557-28740.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222557-97162.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222557-14326.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222557-39326.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222557-70384.png)
(2)若四边形
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222558-95098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222556-77533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222556-22941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222557-75568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222558-51642.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222558-59077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222557-97162.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222557-14326.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222557-39326.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222558-87089.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222558-97758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222547-18165.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222547-65473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222547-75628.png)
(1)求椭圆的方程;
(2)若点B,C(C在第一象限)都在椭圆上,满足
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222547-36469.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222547-86551.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222537-47483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222537-42323.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222537-83209.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222537-73737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222537-48667.png)
(1)求曲线W的方程,并讨论W的形状与
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222537-13658.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222537-55488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222537-47483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222537-42323.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222528-77510.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222529-46064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222529-55403.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025222529-44579.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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