题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023846-94628.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023846-44360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023846-18314.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023846-94628.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023847-64006.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023847-97364.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023846-18314.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023847-12690.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023847-64006.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023847-12690.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023847-35151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023847-29320.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023848-71240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023848-99032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023848-62989.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023848-84086.png)
解析
试题分析:(1)证明
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023848-37287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023848-56365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023847-64006.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023847-12690.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023847-35151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023847-29320.png)
(2)利用(1)中的结论结合割线定理得到
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023849-65847.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023849-31435.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023849-60629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023848-99032.png)
(1)如图,连结
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023849-59741.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023846-94628.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023846-44360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023849-69441.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023850-17415.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023850-38849.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023850-25906.png)
因此
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023847-64006.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023847-12690.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023847-35151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023847-29320.png)
(2)连结
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023850-65373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023847-64006.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023847-12690.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023847-35151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023847-29320.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023849-65847.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023850-54784.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023851-39423.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023851-97530.png)
因为在
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023849-31435.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023849-60629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023851-92103.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023842-17379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023843-72272.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023843-15852.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023843-72272.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-25131.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-36922.png)
(2)在(1)的条件下,若曲线C与直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-28115.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-53708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-36922.png)
(3)在(1)的条件下,设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-88447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023830-34410.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023830-49173.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023830-34809.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-36922.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023830-55341.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-36922.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023822-48252.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023822-62745.jpg)
(1)求直线AA1与直线A2B交点M的轨迹方程;
(2)设动圆C2:x2+y2=t22与C0相交于A′,B′,C′,D′四点,其中b<t2<a,t1≠t2.若矩形ABCD与矩形A′B′C′D′的面积相等,证明:t12+t22为定值.
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023815-38361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023816-59237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023815-38361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023816-59237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023816-21475.png)
(1)求椭圆C的方程;
(2)过
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023815-38361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023816-45686.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023816-59237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023816-91082.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023816-45686.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023816-44992.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023816-59237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023809-16639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023809-16466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023810-53531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023810-51435.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023810-50812.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023810-29837.png)
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