
先化简,再求值:[(x-y) 2 +(x+y)(x-y)]÷2x,其中x=3,y=-1.5.
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解法一:[(x-y) 2 +(x+y)(x-y)]÷2x, =[(x-y)(x-y)+(x+y)]÷2x, =(2x 2 -2xy)÷2x, =x-y, 当x=3,y=-1.5时,原式=3-(-1.5)=4.5; 解法二:[(x-y) 2 +(x+y)(x-y)]÷2x, =[(x 2 -2xy+y 2 )+(x 2 -y 2 )]÷2x, =(2x 2 -2xy)÷2x, =x-y, 当x=3,y=-1.5时,原式=3-(-1.5)=4.5. |
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