题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112541-25948.png)
(1)倾斜角的正弦为
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112542-57050.png)
(2)与两坐标轴的正半轴围成的三角形面积为4.
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112542-59448.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112543-12841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112543-83534.png)
解析
试题分析:(1)因为直线过定点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112541-25948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112543-35703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112543-54169.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112543-59176.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112544-53944.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112544-97324.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112541-25948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112544-97324.png)
试题解析:(1)设直线的倾斜角为
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112544-31000.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112544-88255.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112545-32412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112545-18066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112545-28836.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112545-70136.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112545-24862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112542-59448.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112546-55389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112546-46009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112543-12841.png)
综上:直线方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112542-59448.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112543-12841.png)
(2)设直线在
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112546-65027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112546-14177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112543-59176.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112547-24129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112547-23315.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112547-95145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112543-83534.png)
核心考点
试题【已知直线经过点,求分别满足下列条件的直线方程:(1)倾斜角的正弦为; (2)与两坐标轴的正半轴围成的三角形面积为4.】;主要考察你对直线方程的概念与直线的斜率等知识点的理解。[详细]
举一反三
A.-1 | B.3 | C.![]() | D.51 |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112521-62831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112521-62831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112521-15120.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112514-69932.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112515-97570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112510-60961.png)
(1)直线的倾斜角是
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112510-52486.png)
(2)无论
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112510-26341.png)
(3)无论
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112510-26341.png)
(4)当直线和两坐标轴都相交时,它和坐标轴围成的三角形的面积不小于1;
其中正确命题的序号是 .(把你认为正确命题的序号全填上)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112504-58788.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112504-78120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112504-58288.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112505-90967.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022112504-58288.png)
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