用小棒照图搭正方形,搭一个正方形用4根,搭两个正方形用7根,搭a个正方形有4a根. 用小棒照下面的规律搭正方形,搭一个用4根,搭2个用7根…,搭...
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\u89c2\u5bdf\u56fe\u5f62\u53d1\u73b0\uff1a\u7b2c\u4e00\u4e2a\u56fe\u5f62\u9700\u89814\u6839\u706b\u67f4\uff0c\u591a\u4e00\u4e2a\u6b63\u65b9\u5f62\uff0c\u591a\u75283\u6839\u706b\u67f4\uff0c\u5219\u7b2cn\u4e2a\u56fe\u5f62\u4e2d\uff0c\u9700\u8981\u706b\u67f44+3\uff08n-1\uff09=3n+1\uff0e\u5f53n=10\uff0c3n+1=31\uff0c\u7b54\uff1a\u642d10\u4e2a\u8981\u75283\u6839\u5c0f\u68d2\uff0c\u642dn\u4e2a\u8981\u75283n+1\u6839\u5c0f\u68d2\uff0e\u6545\u7b54\u6848\u4e3a\uff1a31\uff0c3n+1\uff0e
观察第一个图得,搭一个正方形要火柴4根;观察第二个图得,搭两个正方形要火柴(4+3)根,即7根;
观察第三个图得,搭三个正方形要火柴(4+3×2)根,即10根,
所以搭a个正方形要火柴4+3×(a-1)=3a+1根.
故答案为:×.
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