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mathquestion(english)findtheequationofthelinesuchthatthex-axisbisectstheanglebetweenitandtheline2x-3y-6=0findtheequationsofthetwolinesthroughtheoriginwhichmakeanglesof45°withtheline2x+3y-4＝0
题目详情
math question (english)
find the equation of the line such that the x-axis bisects the angle between it and the line 2x-3y-6=0
find the equations of the two lines through the origin which make angles of 45° with the line 2x+3y-4＝0
find the equation of the line such that the x-axis bisects the angle between it and the line 2x-3y-6=0
find the equations of the two lines through the origin which make angles of 45° with the line 2x+3y-4＝0
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答案和解析
1.y=2x/3-2,斜率是2/3,于x轴交于(3,0)所以直线过(3,0),斜率是-2/3即y=-2x/3+22.y=-2x/3+4/3,斜率是-2/3设新斜率是x,1=(x-2/3)/(1+2x/3) or -1=(x-2/3)/(1+2x/3)1+2x/3=x-2/3 or -1-2x/3=x-2/3x=5 or -1/5所以直线为y...
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