经典习题--数轴与绝对值综合练习与归纳总结

1经典习题：数轴与绝对值综合练习与归纳总结(附答案)(1)a+b=a-b=-a+b=-a-b=a2+b2=a2-b2=-a2+b2=-a2-b2=a3+b3=a3-b3=-a3+b3=-a3-b3=a2b+ab2=a2b-ab2=-a2b+ab2=-a2b-ab2=(2)a+b=a-b=-a+b=-a-b=a2+b2=a2-b2=-a2+b2=-a2-b2=a3+b3=a3-b3=-a3+b3=-a3-b3=a2b+ab2=a2b-ab2=-a2b+ab2=-a2b-ab2=(3)a+b=a-b=-a+b=-a-b=a2+b2=a2-b2=-a2+b2=-a2-b2=a3+b3=a3-b3=-a3+b3=-a3-b3=a2b+ab2=a2b-ab2=-a2b+ab2=-a2b-ab2=(4)a+b=a-b=-a+b=-a-b=a2+b2=a2-b2=-a2+b2=-a2-b2=a3+b3=a3-b3=-a3+b3=-a3-b3=a2b+ab2=a2b-ab2=-a2b+ab2=-a2b-ab2=(5)通过以上计算，你发现什么规律？ba0b0aa0b0ab2参考答案：(1)a+b=a+ba-b=-a+b-a+b=-a+b-a-b=a+ba2+b2=a2+b2a2-b2=-a2+b2-a2+b2=-a2+b2-a2-b2=a2+b2a3+b3=a3+b3a3-b3=-a3+b3-a3+b3=-a3+b3-a3-b3=a3+b3a2b+ab2=a2b+ab2a2b-ab2=-a2b+ab2-a2b+ab2=-a2b+ab2-a2b-ab2=a2b+ab2(2)a+b=a+ba-b=-a+b-a+b=-a+b-a-b=a+ba2+b2=a2+b2a2-b2=-a2+b2-a2+b2=-a2+b2-a2-b2=a2+b2a3+b3=a3+b3a3-b3=-a3+b3-a3+b3=-a3+b3-a3-b3=a3+b3a2b+ab2=-a2b-ab2a2b-ab2=a2b-ab2-a2b+ab2=a2b-ab2-a2b-ab2=-a2b-ab2(3)a+b=a+ba-b=a-b-a+b=a-b-a-b=a+ba2+b2=a2+b2a2-b2=a2-b2-a2+b2=a2-b2-a2-b2=a2+b2a3+b3=a3+b3a3-b3=a3-b3-a3+b3=a3-b3-a3-b3=a3+b3a2b+ab2=-a2b-ab2a2b-ab2=-a2b+ab2-a2b+ab2=-a2b+ab2-a2b-ab2=-a2b-ab2(4)a+b=-a-ba-b=a-b-a+b=a-b-a-b=-a-ba2+b2=a2+b2a2-b2=-a2+b2-a2+b2=-a2+b2-a2-b2=a2+b2a3+b3=-a3-b3a3-b3=a3-b3-a3+b3=a3-b3-a3-b3=-a3-b3a2b+ab2=-a2b-ab2a2b-ab2=a2b-ab2-a2b+ab2=a2b-ab2-a2b-ab2=-a2b-ab2(5)通过以上计算，可以发现：在计算某个式子的绝对值时，无论绝对值符号内的式子多么复杂，只要先判断它是正还是负。如果是正，它的绝对值是它本身；如果是负，它的绝对值是它的相反数。ba0b0aa0b0ab