x2+y2=25 , 3x-4y=0. 求解答?
回答 (9)
Sol
3x-4y=0
3x=4y
x^2+y^2=25
9x^2+9y^2=225
16y^2+9y^2=225
25y^2=225
y^2=9
y=+/-3
(1) y=3
3x=12
x=4
(x,y)=(4,3)…………………..
(2) y=-3
3x=-12
x=-4
(x,y)=(-4,-3)……………..
x = 4 , y = 3 or x = -4 , y = -3
令
x = 5cos(A) , y = 5sin(A)
因為 3(5cos(A)) - 4(5sin(A)) = 0
所以 tan(A) = 3/4
所以 cos(A) = 4/5 , sin(A) = 3/5 或
cos(A) = - 4/5 , sin(A) = - 3/5
所以 x = 4 , y = 3 或
x = -4 , y = -3
收錄日期: 2021-04-18 14:22:15
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