设直线L1的倾斜角是a,则直线L2的倾斜角是2a.
由题意得:k1=tan(a)=2/3
那么L2的斜率k2=tan(2a)=2tan(a)/[1-(tan(a))^2]=(2*2/3)/(1-4/9)=12/5
即L2的倾斜角是2a=arctan12/5.斜率k2=12/5
设直线L1的倾斜角是a,则直线L2的倾斜角是2a.
由题意得:k1=tan(a)=2/3
那么L2的斜率k2=tan(2a)=2tan(a)/[1-(tan(a))^2]=(2*2/3)/(1-4/9)=12/5
即L2的倾斜角是2a=arctan12/5.斜率k2=12/5