直线xtanπ3+y+2=0的倾斜角α是（）A.π3B.π6C.2π3D.-π3

Question

直线xtan(π)/(3)+y+2=0的倾斜角α是（　　）
A. (π)/(3)
B. (π)/(6)
C. (2π)/(3)
D. -(π)/(3)

Answer 1

∵直线xtan(π)/(3)+y+2=0的斜率为-tan(π)/(3)=−√(3)，
由tanα=−√(3)，且0≤α＜π，得α＝(2π)/(3)．
故选：C．