题目内容
求满足下列条件的直线方程:
(1)经过点
,且与直线
垂直;
(2) 经过点
,且在两坐标轴上的截距相等.
(1)经过点
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(2) 经过点
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(1)
(2)
或
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本试题主要是考查了直线方方程的求解,利用平行关系和垂直关系,设出所求解的直线方程,然后代点得到直线方程。
解:(I)直线
的斜率为
,所以所求直线的斜率为
, -----(3分)
利用点斜式得到所求直线方程为
---------(6分)
(II)
或
---------------(12分,漏掉一解扣2分)
解:(I)直线
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利用点斜式得到所求直线方程为
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(II)
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