求解题过程,在线等,只需第二小题
2个回答
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21、
(2) C1:(x-2)^2+y^2=4...........(1)
x'=x/2 x=2x'
y'=y y=y'
x^2/4+y^2=1
(2x')^2/4+y'^2=1
x'^2+y'^2=1
即C3:x^2+y^2=1...........(2)
θ=π/3
y=xtanπ/3
y=√3x (x>0)...........(3)
(1)(3)交点:A(1,√3)
(2)(3)交点:B(1/2,√3/2)
|AB|=√[(1-1/2)^2+(√3-√3/2)^2]
=1
注:^2——表示平方
(2) C1:(x-2)^2+y^2=4...........(1)
x'=x/2 x=2x'
y'=y y=y'
x^2/4+y^2=1
(2x')^2/4+y'^2=1
x'^2+y'^2=1
即C3:x^2+y^2=1...........(2)
θ=π/3
y=xtanπ/3
y=√3x (x>0)...........(3)
(1)(3)交点:A(1,√3)
(2)(3)交点:B(1/2,√3/2)
|AB|=√[(1-1/2)^2+(√3-√3/2)^2]
=1
注:^2——表示平方
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