计算:100²-99²+98²-97²+96²-95²+……+2²-1²
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/27 03:46:48
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计算:100²-99²+98²-97²+96²-95²+……+2²-1²
计算:100²-99²+98²-97²+96²-95²+……+2²-1²
计算:100²-99²+98²-97²+96²-95²+……+2²-1²
100²-99²+98²-97²+96²-95²+……+2²-1²
=(100+99)(100-99)+(98+97)(98-97)+...+(2+1)(2-1)
=100+99+98+97+...+2+1
=5050
提示:利用平方差公式