口袋妖怪化石:六年级数学题

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长方形ABCD的对角线相交于O点(如下图)。有一只小蚂蚁由A点出发,要沿着长方形的边或对角线爬到C点,中间不许爬回A点,也不许重复爬过的路,问一共有多少条爬行路线?(下面的长方形打不出来,看得出是长方形就行了)

A D

O

B C
A``````````````````````````D

`````````````````````````O

```````````````B``````````````````````````C

(这是图形,中间的点别管,那是用占位子抵消系统空格的)

7
1:A->c
2:A->D->c
3:A->B->c
4:A->B->O->C
5:A->D->O->C
6:A->O->B->C
7:A->O->D->C