用四个同样大小的正方体拼成了一个面积为100平方厘米的大正方形,这个大正方形的周长是多少厘米?
\u7528\u56db\u4e2a\u76f8\u540c\u7684\u957f\u65b9\u5f62\u62fc\u6210\u4e00\u4e2a\u9762\u79ef\u4e3a100\u5e73\u65b9\u5398\u7c73\u7684\u5927\u6b63\u65b9\u5f62\uff0c\u6bcf\u4e2a\u957f\u65b9\u5f62\u7684\u5468\u957f\u662f\u591a\u5c11\u5398\u7c73\u7528\u56db\u4e2a\u76f8\u540c\u7684\u957f\u65b9\u5f62\u7531\u4e0a\u5230\u4e0b\u62fc\u6210\u4e00\u4e2a\u9762\u79ef\u4e3a100\u5e73\u65b9\u5398\u7c73\u7684\u5927\u6b63\u65b9\u5f62\uff0c\u6bcf\u4e2a\u957f\u65b9\u5f62\u7684\u9762\u79ef:
=100/4=25(\u5e73\u65b9\u5398\u7c73),
\u9762\u79ef\u4e3a100\u5e73\u65b9\u5398\u7c73\u7684\u5927\u6b63\u65b9\u5f62\u7684\u8fb9\u957f:
=10(\u5398\u7c73),
\u5927\u6b63\u65b9\u5f62\u7684\u8fb9\u957f=\u957f\u65b9\u5f62\u7684\u957f=\u957f\u65b9\u5f62\u5bbd\u76844\u500d=10(\u5398\u7c73),
\u957f\u65b9\u5f62\u7684\u5bbd
=\u957f\u65b9\u5f62\u7684\u9762\u79ef/\u957f\u65b9\u5f62\u7684\u957f
=25/10
=2.5(\u5398\u7c73),[\u621610/4=2.5(\u5398\u7c73)]
\u6bcf\u4e2a\u957f\u65b9\u5f62\u7684\u5468\u957f:
=(10+2.5)*2
=25(\u5398\u7c73)
\u5047\u8bbe\u88ab\u5206\u6210\u7684\u4e94\u4e2a\u957f\u65b9\u5f62\u7684\u5bbd\u52a0\u8d77\u6765\u5c31\u662f\u6b63\u65b9\u5f62\u7684\u4e00\u6761\u8fb9\u957f\uff0c\u957f\u65b9\u5f62\u7684\u957f\u4e5f\u4e0e\u6b63\u65b9\u5f62\u7684\u8fb9\u957f\u76f8\u7b49\uff0c\u8bbe\u957f\u65b9\u5f62\u7684\u5bbd\u4e3aX\uff0c\u5219\u957f\u65b9\u5f62\u7684\u957f\u4e3a5X\uff0c\u957f\u65b9\u5f62\u7684\u5468\u957f\u53ef\u8868\u793a\u4e3a\uff1a
\uff085X\uff0bX\uff09\uff0a2\uff1d18
X\uff1d1\uff0e5\uff0c\u5219\u957f\u65b9\u5f62\u7684\u957f\u662f7\uff0e5\uff0c\u539f\u6b63\u65b9\u5f62\u7684\u5468\u957f\u662f30\u5398\u7c73\uff01
\u56e0\u4e3a\u662f\u4e94\u4e2a\u9762\u79ef\u76f8\u7b49\u7684\u957f\u65b9\u5f62,\u6240\u4ee5\u957f\u65b9\u5f62\u7684\u957f\u4e3a\u6b63\u65b9\u5f62\u7684\u8fb9\u957f,\u957f\u65b9\u5f62\u7684\u5bbd\u76841/5\u7684\u6b63\u65b9\u5f62\u7684\u8fb9\u957f,\u6240\u4ee5\u8bbe\u957f\u65b9\u5f62\u7684\u5bbd\u4e3aX \u957f\u4e3aY,\u5219Y=5X,2X+2Y=18,\u89e3\u65b9\u7a0b\u7684X=3/2,\u6240\u4ee5\u539f\u6b63\u65b9\u5f62\u7684\u957f\u662f15/2\u5398\u7c73\u3002
\u5927\u957f\u65b9\u5f62\u7684\u5468\u957f\u662f:(9x2+6+9)x2=66(\u5398\u7c73)\u3002
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