题目
题型:不详难度:来源:
如图6所示,在直角坐标平面上的矩形
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031529-29159.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031529-16274.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031529-40543.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031529-11072.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031529-60445.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031529-92305.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031529-60532.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031529-27716.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-48624.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-10071.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-19734.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-41109.gif)
(Ⅰ)求点
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-41109.gif)
(Ⅱ)若过点
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-81522.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-41109.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-12179.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-37704.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-69131.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-43939.gif)
图6
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-34482.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-25828.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-41109.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-83656.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031531-25844.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031531-11214.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031531-14506.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031531-43921.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031529-92305.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031529-11072.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031531-55101.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031531-59682.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031529-60445.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031531-96852.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031531-61528.gif)
于是,当
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031531-56341.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-10071.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031531-52803.gif)
直线
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-19734.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031532-51513.gif)
①
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031532-75500.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031532-59078.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-34482.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031532-82056.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-41109.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-48624.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-48624.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031532-76573.gif)
故点
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-41109.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-34482.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031532-19524.gif)
(Ⅱ)设过点
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-81522.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031532-74362.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031532-37106.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031533-37240.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031533-22987.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031533-37177.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031533-46975.gif)
由于上述方程的判别式
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031533-54097.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031533-18700.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031533-49155.gif)
根据求根公式,可得
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031533-81802.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031531-25844.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-69131.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031534-77831.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031534-83095.gif)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031534-16284.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031534-93659.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031534-66751.gif)
于是
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031534-32128.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031534-94873.gif)
记
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031534-71258.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031534-94873.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031535-66050.gif)
因为当
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031534-94873.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031535-49975.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031534-71258.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031535-30941.gif)
故当
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031535-62902.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031535-11504.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031535-77282.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031535-15706.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-25828.gif)
综上所述,当
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031536-53017.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031532-74362.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031536-52783.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-69131.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031530-25828.gif)
……
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031536-64784.gif)
核心考点
试题【(本小题满分13分)如图6所示,在直角坐标平面上的矩形中,,,点,满足,,点是关于原点的对称点,直线与相交于点.(Ⅰ)求点的轨迹方程;(Ⅱ)若过点的直线与点的轨】;主要考察你对平面向量应用举例等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031515-73862.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031515-33461.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031516-50854.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031516-54635.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031516-98347.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031509-90806.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031509-65336.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031510-57836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031510-32100.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031510-25431.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031505-89097.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031506-36286.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031506-63387.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031506-36286.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031506-37090.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031506-62423.gif)
A.1 | B.2 | C.3 | D.4 |
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031502-18907.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031502-43474.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031502-94221.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031502-61499.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031502-18907.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031502-43474.gif)
(用“①平行”,“②垂直”,“③相交但不垂直”填空)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031451-76587.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031451-92756.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031451-31853.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031451-40238.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031451-43631.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031452-46648.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031452-26387.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031452-10742.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031452-13684.gif)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031452-13684.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031452-67548.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031451-43631.gif)
(3)当(2)成立时,求出
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105031452-13684.gif)
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