将2,4,6,8,21,22,30,33,35,这八个数分成两组,使每组中的四个数的积相等,如何分? 请将2、9、5、14、24、33、55、56这8个数分成两组...
\u5c066\u30014\u30018\u300130\u300121\u300135\u300133\u300122\u8fd9\u516b\u4e2a\u6570\u5206\u6210\u4e24\u7ec4,\u4f7f\u6bcf\u7ec4\u5404\u6570\u76f8\u4e58\u7684\u79ef\u76f8\u7b49\u3002\u8be5\u600e\u4e48\u5206\u5176\u5b9e\u8fd9\u9898\u662f\u5173\u4e8e\u56e0\u5f0f\u5206\u89e3\u7684\u3002
\u6ce8\u610f\u5230\uff0c\u5728\u8fd9\u91cc\u9762\uff0ca: \u5305\u542b\u6709\u8d28\u56e0\u657011\u7684\u53ea\u670933\u548c22\uff0c\u6240\u4ee5\u4ed6\u4eec\u80af\u5b9a\u4e0d\u540c\u7ec4\uff1b
\u540c\u7406\uff0cb: \u5305\u542b\u8d28\u56e0\u65707\u7684\u53ea\u670935\uff0c21\uff0c\u6240\u4ee5\u4ed6\u4eec\u4e0d\u540c\u7ec4\uff1b
\u540c\u65f6\uff0cc: \u5305\u542b\u8d28\u56e0\u65705\u7684\uff0c\u53ea\u670930\u548c35\uff0c\u6240\u4ee5\uff0c\u4ed6\u4eec\u4e0d\u540c\u7ec4\uff0c
\u4e8e\u662f\uff0c\u6211\u4eec\u77e5\u9053\uff0c21\u548c30\u540c\u7ec4\uff0c\u800c\u4e14\uff0c\u6211\u4eec\u6ce8\u610f\u5230\uff0c21*30\u4f1a\u51fa\u73b0\u56e0\u65709\uff0c\u800c\u5269\u4e0b\u7684\u6570\u4e2d\uff0c\u80fd\u751f\u6210\u56e0\u65709\u7684\u53ea\u67096*33\uff0c\u6240\u4ee56\uff0c33\u540c\u7ec4\uff1b21\uff0c22\uff0c30\u540c\u7ec4\uff1b\u6839\u636ec\uff0c\u53ef\u77e56\uff0c33\uff0c35\u540c\u7ec4\uff1b
\uff0c\u5269\u4e0b4\uff0c8\uff0c\u6ce8\u610f\u523021\uff0c22\uff0c30\u7ec4\u5305\u542b\u56e0\u65704\uff0c\u800c6\uff0c33\uff0c35\u5305\u542b\u56e0\u65702\uff0c\u6240\u4ee5\uff0c8\u5e94\u8be5\u5206\u914d\u52306\uff0c33\uff0c35\u3002
\u6700\u540e\u53ef\u5f97\uff0c6\uff0c8\uff0c33\uff0c35\u4e00\u7ec4\uff0c4\uff0c21\uff0c22\uff0c30\u4e00\u7ec4\u3002
33*24*5*14=55*9*2*56
6=2*34=2*2
8=2*2*2
30=2*3*5
21=3*7
35=5*7
33=3*11
22=2*11
经过组合可分为两组
2*2*2*2*3*3*5*7*11=2*2*2*2*3*3*5*7*11
所以分别是
4,30,21,22一组
6,8,35,33一组
可以将这组数每个都分解质因数
然后分组的时候就是要每组质因数都一样
仅此而已
2=2
4=2*2
6=2*3
8=2*2*2
21=3*7
22=2*11
30=2*3*5
33=3*11
35=5*7
所以分组..
我倒,怎么是9个数字?
自己看吧 反正方法就这样
绛旓細21=3*7 35=5*7 33=3*11 22=2*11 缁忚繃缁勫悎鍙垎涓轰袱缁 2*2*2*2*3*3*5*7*11=2*2*2*2*3*3*5*7*11 鎵浠ュ垎鍒槸 4锛30锛21锛22涓缁 6锛8锛35锛33涓缁
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