丨1/4-1/2丨+丨1/6-1/4丨+丨1/8-1/6丨+···+丨1/2012-1/2010丨

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/09 16:28:40
丨1/4-1/2丨+丨1/6-1/4丨+丨1/8-1/6丨+···+丨1/2012-1/2010丨

丨1/4-1/2丨+丨1/6-1/4丨+丨1/8-1/6丨+···+丨1/2012-1/2010丨
丨1/4-1/2丨+丨1/6-1/4丨+丨1/8-1/6丨+···+丨1/2012-1/2010丨

丨1/4-1/2丨+丨1/6-1/4丨+丨1/8-1/6丨+···+丨1/2012-1/2010丨
丨1/4-1/2丨+丨1/6-1/4丨+丨1/8-1/6丨+···+丨1/2012-1/2010丨
=1/2-1/4+1/4-1/6+……+1/2010-1/2012
=1/2-1/2012
=1005/2012

分析:把绝对值全脱去后,即可得出答案
原式=(1/2-1/4)+(1/4-1/6)+(1/6-1/8)、、、、、+(1/2010-1/2012)
=1/2-1/2012
=1005/2012
不懂,请追问,祝愉快O(∩_∩)O~

1005/2012