1-9数字用加减法算只能用一次,不能反着用,最后等于十四 1到9,9个数字中用加减法,每个数字只能用一次,怎样才能等于...

\u80fd\u5426\u5c06\u6570\u5b571\u5230\u6570\u5b579\u7528\u52a0\u51cf\u6cd5\u7b97\u51fa\u7b49\u4e8e16?

12+3-4+5-6+7+8-9=16
-12-34+56+7+8-9=16

\u4ece\u9898\u76ee\u89c2\u5bdf1\u52309\u4e3a\uff1a1\uff0c2\uff0c3\uff0c4\uff0c5\uff0c6\uff0c7\uff0c8\uff0c9\uff0c\u5176\u4e2d\u67095\u4e2a\u5947\u6570\uff0c4\u4e2a\u5076\u6570
\u6570\u5b57\u76f8\u52a0\uff08\u51cf\uff09\u7684\u6027\u8d28\uff08\u6211\u4eec\u77e5\u9053\u80fd\u88ab2\u6574\u9664\u7684\u662f\u5076\u6570\uff09\uff1a
1\u3001\u5076\u6570+\u5076\u6570+\u2026\u2026\u5076\u6570=\u5076\u6570\uff08\u4e0d\u7ba1\u51e0\u4e2a\uff09\uff08\u56e0\u4e3a\u4e58\u6cd5\u5206\u914d\u5f8b\u53ef\u4ee5\u63d0\u51fa2\uff09\u81ea\u7136\u80fd\u88ab2\u6574\u9664
2\u3001\u5947\u6570+\u2026\u2026+\u5947\u6570=\u5076\u6570\uff08\u5fc5\u987b\u662f\u5076\u6570\u4e2a\u5947\u6570\uff09\uff08\u56e0\u4e3a\u5947\u6570\u4e0d\u80fd\u88ab2\u6574\u9664\uff0c\u56e0\u6b64\u53ef\u4ee5\u770b\u4f5c\u4f59\u65701\u76f8\u52a0\uff0c\u53731+1+1\uff0c\u52a0\u4e86n\u4e2a1\uff0cn\u4e3a\u5076\u6570\u81ea\u7136\u53ef\u4ee5\u88ab2\u6574\u9664\uff09
\u800c16\u662f\u5076\u6570\uff0c\u6240\u4ee5\u53ea\u80fd\u662f\u5076\u6570\u4e2a\u5947\u6570\u76f8\u52a0\uff0c\u800c1-9\u67095\u4e2a\u5947\u6570\u3002
\u6240\u4ee5\uff1a
1\uff0c\u4e0d\u505a\u5904\u7406\u7684\u60c5\u51b5\u4e0b\uff0c1-9\u65e0\u6cd5\u5f97\u51fa16
2\u3001\u5904\u7406\u4e00\u4e2a\u5947\u65701\uff0c3\uff0c5\uff0c7\uff0c9\u4e2d\u4e00\u4e2a\uff0c\u5904\u7406\u65b9\u5f0f\u4e0e\u524d\u9762\u6216\u540e\u9762\u5408\u6210\u5341\u4f4d\u6570
\u6bd4\u5982\u5904\u74061\uff0c\u90a3\u4e48\u5f53\u53d8\u621012\uff0c3\uff0c4\uff0c5\uff0c6\uff0c7\uff0c8\uff0c9\uff0c\u53ef\u4ee5\u8ba1\u7b97\uff0c\u5df2\u77e53+5+8=16
\u90a3\u6211\u53ea\u898112\uff0c4\uff0c6\uff0c7\uff0c9\u5f97\u51fa0\u5373\u53ef\uff0c
\u90a3\u4e4812+3-4+5-6+7+8-9=16\u6ee1\u8db3\uff01
\u5982\u679c\u5904\u74063\uff0c\u90a3\u4e481\uff0c2\uff0c34\uff0c5\uff0c6\uff0c7\uff0c8\uff0c9\uff0c34-16=18\uff0c\u6240\u4ee5\u8981\u6ee1\u8db3\u6761\u4ef6\u9700\u89811\uff0c2\uff0c5\uff0c6\uff0c7\uff0c8\uff0c9\u5f97\u51fa18\uff0c\u6211\u4eec\u77e5\u905318\u80fd\u88ab3\u6574\u9664\uff0c\u4f461\uff0c2\uff0c5\uff0c6\uff0c7\uff0c8\uff0c9\u96643\u7684\u4f59\u6570\u76f8\u52a0\u65e0\u6cd5\u9664\u4ee53\uff0c\u6240\u4ee5\u8fd9\u4e2a\u65f6\u5019\u4e0d\u80fd\u5b9e\u73b0
\u5982\u679c\u5904\u74065\uff0c\u52191\uff0c2\uff0c3\uff0c4\uff0c56\uff0c7\uff0c8\uff0c9\uff0c56-16=40\uff0c1\uff0c2\uff0c3\uff0c4\uff0c7\uff0c8\uff0c9\u9700\u8981\u8fbe\u523040\uff0c40\u80fd\u88ab5\u6574\u9664\uff0c\u4f461\uff0c2\uff0c3\uff0c4\uff0c5\uff0c7\uff0c8\uff0c9\u4f59\u6570\u76f8\u52a0\u6216\u76f8\u51cf\uff0c\u65e0\u6cd5\u88ab5\u6574\u9664
\u5982\u679c\u5904\u74067\uff0c\u52191\uff0c2\uff0c3\uff0c4\uff0c5\uff0c6\uff0c78\uff0c9\uff0c78-16=62\uff0c1\uff0c2\uff0c3\uff0c4\uff0c5\uff0c6\uff0c9\u5373\u4f7f\u76f8\u52a0\u4e5f\u8fbe\u4e0d\u523062\uff0c\u4e0d\u884c
9\u65e0\u6cd5\u5904\u7406\uff0c\u56e0\u4e3a\u540e\u9762\u6ca1\u6709\u6570\u5b57
2\u3001\u5904\u74062\u4e2a\u5947\u6570\uff0c3\u4e2a\u5947\u6570\u76f8\u52a0\u8fd8\u662f\u5947\u6570\u4e0d\u7b26\u5408\u9898\u610f
3\u3001\u5904\u74063\u4e2a\u5947\u6570\uff0c\u5904\u74061\uff0c3\uff0c5\uff0c\u521912\uff0c34\uff0c56\uff0c7\uff0c8\uff0c9\uff0c56-12-34=10\uff0c\u53ea\u89817\uff0c8\uff0c9\u7b97\u51fa6\u5373\u53ef\uff0c\u800c7+8-9=6
\u6240\u4ee5-12-34+56+7+8-9=16
\u5904\u74061\uff0c3\uff0c7\u521912\uff0c34\uff0c5\uff0c6\uff0c78\uff0c9\uff0c\u7531\u4e8e78\u6570\u5b57\u8f83\u5927\u5927\u4e8e1+\u2026\u20269\uff0c\u6240\u4ee578\u8981\u5f80\u4e0b\u51cf
78-34-12=16\uff0c\u4f465\uff0c6\uff0c9\u65e0\u6cd5\u7b97\u51fa0\uff0c
\u5904\u74061\uff0c5\uff0c7\u521912\uff0c3\uff0c4\uff0c56\uff0c78\uff0c9\uff0c\u4e5f\u65e0\u6cd5\u7b97\u51fa78-56=22\uff0c22-16=6\uff0c12\uff0c3\uff0c4\uff0c9\u4f59\u6570\u76f8\u52a0\u4e0d\u80fd\u88ab3\u9664
\u5904\u74063\uff0c5\uff0c7\u52191\uff0c2\uff0c34\uff0c56\uff0c78\uff0c9\u4e5f\u65e0\u6cd5\u7b97\u51fa
3\uff0c\u5904\u74064\u548c5\u90fd\u4e0d\u884c
\u5982\u679c\u4e3a3\u4f4d\uff0c\u9700\u8981\u81f3\u5c11\u5904\u7406
\u8fd8\u6709\u5176\u4ed6\u7684\u60c5\u51b5\u4f1a\u51fa\u73b0\uff0c\u5728\u8fd9\u91cc\u5c31\u4e0d\u591a\u8bb2

91+2+3+4+5+8-6-7=100
91+2+3+4+6+7-5-8=100\u597d\u591a\u5462

12-3+4+5+6+7-8-9=1412+3-4+5+6-7+8-9=1412+3+4-5-6+7+8-9=1412+3+4-5+6-7-8+9=1412-3-4-5+6+7-8+9=1412-3-4+5-6-7+8+9=14……如果只用+-并且数字不能相连,则此题无解。

4×5+3+2+1-9+8-7+6=24

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