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2014年“希望杯”全国数学邀请赛初一第一试第17题:如图1,一个六边形的内角都相等,其中四条边的长度分别是3,7,4,8,则另外两条边的长度和a+b等于__.简析根据6个120°角,可以想到其邻补角为60°,从而可以构造等边三角形,亦可得各组对边互相平行,于是可以构造平行四边形,下面给出11中解法供读者朋友们赏析.
2014 “Hope Cup ” first national mathematics invitational competition first test Question 17: Figure 1, a hexagon of the same angle, of which the length of the four sides were 3,7,4,8, respectively, then the other The length of both sides and a + b is equal to __. Analysis According to six 120 ° angle, you can think of its adjacent angle of 60 °, which can be constructed equilateral triangles, but also available on each side of the parallel pairs, then Parallelogram can be constructed, the following gives 11 solutions for readers to appreciate.