将0-9这十个数字分别填入下面算式的()内，每个数字只能用一次：那么满足条件的正确填法有几种 将0～9这十个数字分别填入下面算式的□内，每个数字只能用一次...

\u5c060~9\u5341\u4e2a\u6570\u5b57\u5206\u522b\u586b\u5165\u4e0b\u9762\u7b97\u5f0f\u7684\u5341\u4e2a\u53e3\u5185\uff0c\u6bcf\u4e2a\u6570\u53ea\u80fd\u7528\u4e00\u6b21\uff0c\u90a3\u4e48\u6ee1\u8db3\u6761\u4ef6\u7684\u6b63\u786e\u586b\u6cd5\u5171\u6709\u591a\u5c11\u79cd\uff1f

\u5982\u679c\u4f60\u8ba4\u53ef\u6211\u7684\u56de\u7b54\uff0c\u8bf7\u53ca\u65f6\u70b9\u51fb\u53f3\u4e0b\u89d2\u7684\u3010\u91c7\u7eb3\u4e3a\u6ee1\u610f\u56de\u7b54\u3011\u6309\u94ae
\u6211\u662f\u767e\u5ea6\u77e5\u9053\u4e13\u5bb6\uff0c\u4f60\u6709\u95ee\u9898\u4e5f\u53ef\u4ee5\u5728\u8fd9\u91cc\u5411\u6211\u63d0\u95ee\uff1a
http://zhidao.baidu.com/prof/view/yq_whut

1\u79cd\uff1a3+45+978=1026\uff0c2\u79cd\uff1a3+48+975=1026\uff0c3\u79cd\uff1a3+75+948=1026\uff0c4\u79cd\uff1a3+78+945=1026\uff0c5\u79cd\uff1a4+37+985=1026\uff0c6\u79cd\uff1a4+85+937=1026\uff0c7\u79cd\uff1a4+87+935=1026\uff0c8\u79cd\uff1a5+37+984=1026\uff0c9\u79cd\uff1a5+43+978=1026\uff0c10\u79cd\uff1a5+48+973=1026\uff0c11\u79cd\uff1a5+73+948=1026\uff0c12 \u79cd\uff1a5+78+943=1026\uff0c13\u79cd\uff1a5+84+937=1026\uff0c14\u79cd\uff1a5+87+934=1026\uff0c15\u79cd\uff1a7+34+985=1026\uff0c16\u79cd\uff1a7+35+984=1026\uff0c17 \u79cd\uff1a7+84+935=1026\uff0c18 \u79cd\uff1a7+85+934=1026\uff0c19\u79cd\uff1a8+43+975=1026\uff0c20\u79cd\uff1a8+45+973=1026\uff0c21\u79cd\uff1a8+73+945=1026\uff0c22\u79cd\uff1a8+75+943=1026\uff0c23 \u79cd\uff1a2+47+986=1035\uff0c24\u79cd\uff1a2+86+947=1035\uff0c25\u79cd\uff1a2+87+946=1035\uff0c26\u79cd\uff1a6+47+982=1035\uff0c27 \u79cd\uff1a6+82+947=1035\uff0c28\u79cd\uff1a6+87+942=1035\uff0c29 \u79cd\uff1a7+42+986=1035\uff0c30\u79cd\uff1a7+46+982=1035\uff0c31\u79cd\u79cd\uff1a7+82+946=1035\uff0c32\u79cd\uff1a7+86+942=1035\uff0c33\u79cd\uff1a2+67+984=1053\uff0c34 \u79cd\uff1a2+84+967=1053\uff0c35\uff1a2+87+9\u24654=1053\uff0c36 \u79cd\uff1a4+67+982=1053\uff0c37 \u79cd\uff1a4+82+967=1053\uff0c38 \u79cd\uff1a4+87+962=1053\uff0c39\u79cd\uff1a7+62+984=1053\uff0c40\u79cd\uff1a7+\u24654+982=1053\uff0c41\u79cd\uff1a7+82+9\u24654=1053\uff0c42\u79cd\uff1a7+84+962=1053\uff0c43 \u79cd\uff1a3+74+985=1062\uff0c44\u79cd\uff1a3+75+984=1062\uff0c45 \u79cd\uff1a3+84+975=1062\uff0c46 \u79cd\uff1a3+85+974=1062\uff0c47 \u79cd\uff1a4+73+985=1062\uff0c48\u79cd\uff1a4+75+983=1062\uff0c49 \u79cd\uff1a4+83+975=1062\uff0c50\u79cd\uff1a4+85+973=1062\uff0c51\u79cd\uff1a5+73+984=1062\uff0c52\u79cd\uff1a5+74+983=1062\uff0c53\u79cd\uff1a5+83+974=1062\uff0c54\u79cd\uff1a5+84+973=1062\uff0c55\u79cd\uff1a7+42+986=1035\uff0c56\u79cd\uff1a7+46+982=1035\uff0c57\u79cd\uff1a7+82+946=1035\uff0c58\u79cd\uff1a7+86+942=1035\uff0c59\u79cd\uff1a2+67+984=1053\uff0c60\u79cd\uff1a2+84+967=1053\uff1b\u6545\u7b54\u6848\u4e3a\uff1a60\uff0e

54种：

1 ：3+45+978 = 1026
2 ：3+48+975 = 1026
3 ：3+75+948 = 1026
4 ：3+78+945 = 1026
5 ：4+37+985 = 1026
6 ：4+85+937 = 1026
7 ：4+87+935 = 1026
8 ：5+37+984 = 1026
9 ：5+43+978 = 1026
10 ：5+48+973 = 1026
11 ：5+73+948 = 1026
12 ：5+78+943 = 1026
13 ：5+84+937 = 1026
14 ：5+87+934 = 1026
15 ：7+34+985 = 1026
16 ：7+35+984 = 1026
17 ：7+84+935 = 1026
18 ：7+85+934 = 1026
19 ：8+43+975 = 1026
20 ：8+45+973 = 1026
21 ：8+73+945 = 1026
22 ：8+75+943 = 1026
23 ：2+47+986 = 1035
24 ：2+86+947 = 1035
25 ：2+87+946 = 1035
26 ：6+47+982 = 1035
27 ：6+82+947 = 1035
28 ：6+87+942 = 1035
29 ：7+42+986 = 1035
30 ：7+46+982 = 1035
31 ：7+82+946 = 1035
32 ：7+86+942 = 1035
33 ：2+67+984 = 1053
34 ：2+84+967 = 1053
35 ：2+87+9⑥4 = 1053
36 ：4+67+982 = 1053
37 ：4+82+967 = 1053
38 ：4+87+962 = 1053
39 ：7+62+984 = 1053
40 ：7+⑥4+982 = 1053
41 ：7+82+9⑥4 = 1053
42 ：7+84+962 = 1053
43 ：3+74+985 = 1062
44 ：3+75+984 = 1062
45 ：3+84+975 = 1062
46 ：3+85+974 = 1062
47 ：4+73+985 = 1062
48 ：4+75+983 = 1062
49 ：4+83+975 = 1062
50 ：4+85+973 = 1062
51 ：5+73+984 = 1062
52 ：5+74+983 = 1062
53 ：5+83+974 = 1062
54 ：5+84+973 = 1062

将0-9这十个数字分别填入下面算式的()内，每个数字只能用一次：那么满足条件的正确填法有60种
的答案错的

60种

7+42+986 = 1035
7+46+982 = 1035
7+82+946 = 1035
7+86+942 = 1035
2+67+984 = 1053
2+84+967 = 1053

60种？

濂ユ暟棰:灏0-9杩欏崄涓暟瀛楀垎鍒～濡備笅鍥,浣垮惊鐜紡鎴愮珛銆
绛旓細6+9锛0+5=1+4=2+3锛7+8 銆

灏0~9鍗佷釜鏁板瓧鍒嗗埆濉叆涓嬮潰绠楀紡鐨勫崄涓彛涓,浣挎瘡涓畻寮忛兘鎴愮珛_鐧惧害鐭 ...
绛旓細3锛6锛9 8锛7锛1 4脳5锛20

0锝9杩10涓暟鍒嗗埆濉叆涓嬮潰,浣垮緱鏁扮浉鍚
绛旓細1049+256+37+8=1350 绛旓細杩欎釜鏈灏忕殑缁撴灉鏄1350锛庢晠绛旀涓猴細1350锛

灏0~9鍗佷釜鏁板瓧鍒嗗埆濉叆涓嬮潰绠楀紡鐨勫崄涓彛鍐,姣忎釜鏁板彧鑳界敤涓娆,閭ｄ箞婊 ...
绛旓細鍥炵瓟锛氬涓嶈捣,涓鐩存病鏈夊洖鐪嬩俊鎭傜殑纭槸60涓傛垜鑰冭檻閿欎簡!鏈冭檻涓綅鏈3涓綅缃 60涓 鍙+鍙ｅ彛+9鍙ｅ彛=10鍙ｅ彛鏄鍏堣兘纭畾鐨, 鑰冭檻鍗佷綅鍐呯殑5涓暟,浠8+7涓哄,鏈8+7,8+6,8+4,8+3,7+4銆(姝ゅ鏄‘瀹氬崄浣嶇殑鎯呭喌,蹇呴』鎺ㄥ) 5渚嬫弧瓒虫潯浠,姣忕粍3*2*2=12渚嬨(褰撴壘鍒颁竴缁勫悗,鑰冭檻涓綅鍔犳暟鏈...

灏0~9鍗佷釜鏁板瓧鍒嗗埆濉叆涓嬮潰绠楀紡鐨勫崄涓彛鍐,姣忎釜鏁板彧鑳界敤涓娆:閭ｄ箞婊 ...
绛旓細鍏辫 228绉 涓嶇煡閬撹繖棰樻湁娌℃湁绠鏄撴柟娉曪紝鎴戠敤绋嬪簭瑙ｅ喅鐨勶紝闇瑕佺殑璇滺I鎴戙//鏌愪簺0寮澶寸殑鏁板瓧涔熺畻涓婁簡 1 + 42 + 695 = 738 1 + 43 + 685 = 729 1 + 45 + 683 = 729 1 + 45 + 692 = 738 1 + 52 + 793 = 846 1 + 53 + 792 = 846 1 + 72 + 386 = 459 1 + 72 + ...

灏0鑷9杩欏崄涓暟瀛楀垎鍒～鍏ヤ笅闈绌烘牸鍐,浣跨瓑寮忔垚绔.锕欐瘡涓暟瀛楀彧鑳藉～涓娆...
绛旓細鏍规嵁鎺ㄧ畻鍙緱锛3+6=98-7=14脳5=20锛

鎶0鍒9杩10涓暟瀛楀～鍏ヤ笅闈鐨勬柟鍧椾腑,姣忎釜鏁板瓧鍙兘浣跨敤涓娆 鈻+鈻=鈻...
绛旓細1+7=8 3+6=9 4x5=20

灏0-9杩欏崄涓暟瀛楀～鍏鈻″唴,姣忎釜鏁板彧鐢ㄤ竴娆,浣跨瓑寮忔垚绔嬨 鈻+鈻=鈻+鈻...
绛旓細0+9=1+8=2+7=3+6=4+5

璇峰ぇ绁炴寚鐐,鎶0/9杩欏崄涓暟瀛楀～鍦鏂规閲屾病涓暟瀛楃敤涓娆
绛旓細鎶0鍒9鍗佷釜鏁板瓧濉湪鏂规閲岋紝姣忎釜鏁板瓧鍙敤涓娆 绛旓細锛0锛+锛9锛=锛1锛+锛8锛=锛2锛+锛7锛=锛3锛+锛6锛=锛4锛+锛5锛夎В鏋愶細0~9鍏辨湁10涓暟瀛锛屼互1閫掑锛屾槸涓涓椤逛负0锛1涓哄叕宸殑绛夊樊鏁板垪銆備粠0鍔犲埌9鐨勭粨鏋滄槸45锛屾墍浠ユ妸45鍒嗘垚涓嶅悓鐨5缁勶紝姣忕粍鐨勭粨鏋滅瓑浜45/5=9銆傜煡閬撴瘡缁勭殑缁撴灉涓9...

璇灏0鑷9杩欏崄涓鑷劧鏁板～鍏ヤ笅闈鐨勨枴涓,浣跨瓑寮忔垚绔嬨(娉ㄦ剰:瑕佹眰鍗佷釜鑷劧...
绛旓細闅忎究鍏堝啓涓0 5 1 3 2 4 6 8 7 9

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