先化简再求值 [(1/(x-y)+1/(x+y)]-【2y/(x的平方-2xy+y的平方)】 其中x=1+√2,y=1-√2
人气:263 ℃ 时间:2019-08-20 08:48:03
解答
x=1+√2,y=1-√2
x+y=2 x-y=2√2
[(1/(x-y)+1/(x+y)]-【2y/(x的平方-2xy+y的平方)】
=[(x+y+x-y/(x-y)(x+y)]-【2y/(x-y)^2】
=[2(1+√2)/2*2√2]-【2(1-√2)/(2√2)^2】
=[(1+√2)/2√2]-【2(1-√2)/8】
=[(2+√2)/4]-【(1-√2)/4】
=(1+2√2)/4难道不需要化到最简再带入么x=1+√2,y=1-√2x+y=2x-y=2√2[(1/(x-y)+1/(x+y)]-【2y/(x的平方-2xy+y的平方)】 =[(x+y+x-y/(x-y)(x+y)]-【2y/(x-y)^2】=[(2x/(x-y)(x+y)]-【2y/(x-y)^2】=(2x(x-y)-2y(x+y))/(x+y)(x-y)^2=(2x^2-2xy-2xy-2y^2)/(x+y)(x-y)^2=2(x^2-2xy-y^2)/(x+y)(x-y)^2应该化成最简,当时看化简意义不大,才直接代入x、y的值
推荐
- 先化简,再求值:0.2x的平方y-1/2xy的平方+3/2y的平方x-3/4x的平方y,其中x=2,y=3
- 化简求值 (x+y)(x-y)-(x-2y)的平方-(6x的平方y-2xy的平方)/2y ,其中x=-2,y=-1
- 先化再求:(1/x-y-1/x+y)÷2y/x的平方+2xy+y的平方,其中x=√3+√2,y=√3-√2
- 化简求值: [2x^2-(x+y)(x-y)][(-x-y)(y-x)+2y^2],其中x=1,y=2. 求详细过程~
- 先化简,再求值(x-1分之1-x+1分之1)除以x的平方+2xy+y的平方分之2y,其中;x=√3+√2,y=√3-√2
- 有关时间的作文,800字
- what did your father do when he was in shanghai?-----he_____ in a car factory.(work)
- 一个串联电路中有一个定值电阻10欧和另一个电阻(5欧、10欧、15欧中换),电压不变,那么为什么在换
猜你喜欢