先化简,再求值:[(x﹣y)2+(x+y)(x﹣y)]÷2x,其中x=3,y=﹣1.5. ...

2023-07-07 01:09发布

这道初中数学的题目是:
先化简,再求值:[(x﹣y)2+(x+y)(x﹣y)]÷2x,其中x=3,y=﹣1.5.
1条回答
日芯
1楼-- · 2023-07-07 01:36
这道初中数学题的正确答案为:
解:解法一:[(x﹣y)2+(x+y)(x﹣y)]÷2x,
=[(x﹣y)(x﹣y)+(x+y)]÷2x,
=(2x2﹣2xy)÷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,
=[(x2﹣2xy+y2)+(x2﹣y2)]÷2x,
=(2x2﹣2xy)÷2x,
=x﹣y,
x=3,y=﹣1.5时,原式=3﹣(﹣1.5)=4.5.
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