当x=4sin30°-1,y=根号3tan60°时,求(1-(2x)/(x+y))÷(x²-2xy+y²)/(2x+2y)+(x²+xy)/(x²-y²)
问题描述:
当x=4sin30°-1,y=根号3tan60°时,求(1-(2x)/(x+y))÷(x²-2xy+y²)/(2x+2y)+(x²+xy)/(x²-y²)
答
x=4×1/2-1=1
y=√3×√3=3
原式=(x+y-2x)/(x+y)×2(x+y)/(x-y)²+x(x+y)/(x+y)(x-y)
=-2/(x-y)+x/(x-y)
=(x-2)/(x-y)
=-1/(1-3)
=1/2