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把一些数按照一定的要求排成各种各样的图形,这类图形称为数阵图,简称数阵。例1:把1~7填入下图中,使每条线段上三个○内的数的和相等。思路点拨:中心圆填入的数设为x,x参与3条线的连加,设每条线数字和都为S,由题意:1+2+3+…+7+2x=3S,即28+2x=3S。很显然,“28+2x”应该是3的倍数,那么x等于多少才能使“28+2x”是3的倍数呢?试验法此时可以大显身手了。
The number of some arranged in accordance with certain requirements of a variety of graphics, such graphics called the number of figures, referred to as the matrix. Example 1: Fill 1 ~ 7 in the figure below so that the sum of the numbers in the three ○ in each line segment is equal. The idea of dialing: The center of the circle filled with the number of x, x involved in the three lines plus, each line numbers and are S, from the questions: 1 +2 +3 + ... +7 +2x = 3S, Ie 28 + 2x = 3S. Obviously, “28 + 2x ” should be a multiple of 3, then x is equal to how much to make “28 + 2x ” is a multiple of 3? Test method at this time can show their talents.