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

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

直线xtanπ/3+y+2=0的倾斜角α是?A.π/3 B.π/6C.2π/3D.-π/3
斜率存在的直线y=kx+b
k=tanα (α为倾斜角)
y=tanα x+b
xtanπ/3+y+2=0
y=-tanπ/3 x-2
k=-tanπ/3=tan2π/3 (倾斜角α∈[0,π))
α=2π/3

c

C 注意倾斜角范围 斜率k=-√3,故倾斜角2π/3