(2a方-7a+3)x+(a方-9)y+3a方=0的倾斜角为3/4派,a=_?

问题描述:

(2a方-7a+3)x+(a方-9)y+3a方=0的倾斜角为3/4派,a=_?

1)整理一下原式:y=(-(2a方-7a+3)/(a方-9))*x-3a/(a方-9)
2)因为倾斜角为3/4派,所以tg(3/4派)=-(2a方-7a+3)/(a方-9)=-1
3)解得:a=3或4
4)又:2a方-7a+3和a方-9不能=0,所以a=3(舍)
5)经检验,综上,a=4