题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231521-65218.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231522-45803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231522-14909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231522-12770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231522-81572.png)
(Ⅰ)求顶点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231522-60603.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231522-19207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231522-19207.png)
(Ⅱ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231523-90531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231523-34940.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231523-57427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231522-19207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231523-25237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231523-94609.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231524-52050.png)
点为
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231524-63964.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231524-62068.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231524-85979.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231525-56807.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231525-43272.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231525-93647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231525-11951.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231526-76064.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231526-98890.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231525-93647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231526-49392.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231526-76064.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231526-72671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231525-93647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231525-56807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231526-76064.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231527-60739.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231525-93647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231525-11951.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231526-76064.png)
(Ⅱ)直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231527-64333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231527-38421.png)
解析
试题分析:(Ⅰ)根据
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231527-19310.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231528-72293.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231522-19207.png)
一般思路是设点,构造方程,组成方程组,利用一元二次方程的根与系数的关系,从而得到直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231524-85979.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231528-89644.png)
试题解析:(Ⅰ)由题知:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231527-19310.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231528-36882.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231525-43272.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231525-93647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231525-11951.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231526-76064.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231526-98890.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231525-93647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231526-49392.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231526-76064.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231526-72671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231525-93647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231525-56807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231526-76064.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231527-60739.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231525-93647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231525-11951.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231526-76064.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231528-37512.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231528-35447.png)
依题直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231529-41791.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231529-41791.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231529-40282.png)
代入
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231529-17020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231529-92394.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231530-49490.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231530-97551.png)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231524-62068.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231530-27335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231531-96917.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231527-64333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231531-22788.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231531-21944.png)
得
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231531-48967.png)
故直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231527-64333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231527-38421.png)
解二:设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231528-37512.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231528-35447.png)
依题直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231529-41791.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231529-41791.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231532-76752.png)
代入
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231529-17020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231532-74012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231532-34947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231532-33560.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231531-96917.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231527-64333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231531-22788.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231531-21944.png)
得
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231533-17285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231533-28595.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231527-64333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231527-38421.png)
核心考点
试题【已知△的两个顶点的坐标分别是,且所在直线的斜率之积等于.(Ⅰ)求顶点的轨迹的方程,并判断轨迹为何种圆锥曲线;(Ⅱ)当时,过点的直线交曲线于两点,设点关于轴的对称】;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/20191025/20191025231514-51511.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231514-74055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231514-37405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231514-62862.png)
(I) 给出下列三个结论:
①曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231514-62862.png)
②曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231514-62862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231514-11270.png)
③曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231514-62862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231514-14719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231514-38760.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231514-98962.png)
其中,所有正确结论的序号是_____;
(Ⅱ)曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231514-62862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231458-32675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231458-16665.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231458-93491.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231459-87207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231459-48946.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231459-93524.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231459-87207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231500-46904.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231446-33683.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231446-55566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231447-10449.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231447-44703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231447-76205.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231447-52458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231448-56477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231448-11511.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231448-30989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231448-57336.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231440-98559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231441-71784.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231441-83360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231441-71784.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231427-59303.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231427-65569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231427-73738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231427-76613.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231428-60462.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231428-81218.png)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231427-73738.png)
(Ⅱ)如图,设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231428-27091.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231427-73738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231428-49967.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231429-95288.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231429-68425.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231429-13300.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231429-71512.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231429-71512.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231430-70065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231430-84059.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231430-62723.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231430-24918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231427-73738.png)
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