一篮子鸡蛋，3个3个数余1，四个四个算余1，五个五个数余1，7个7个数余2，问，篮子里至少有多少个鸡蛋
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1*70+2*21+3*15=157
157-105=52\uff08\u4e2a\uff09
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绛旓細瑙ｇ瓟 瑙ｏ細3銆4銆5鐨勬渶灏忓叕鍊嶆暟鏄3脳4脳5=60銆60+1=61锛堜釜锛夈傜瓟锛氳繖绡嚦灏戞湁61涓楦¤泲銆傜偣璇勶細瑙ｇ瓟鏈鍏抽敭鏄細鏍规嵁鈥3涓3涓鍦版暟锛屾渶鍚浣1涓紱 4涓4涓湴鏁帮紝鏈鍚庝篃浣1涓紱5涓5涓湴鏁帮紝鏈鍚庤繕浣1涓濓紝閮芥濂藉垎瀹岃屽墿浣1锛鍙煡楦¤泲鐨涓暟鍑忓幓1锛屾槸3銆4銆5鐨勫叕鍊嶆暟銆傚叕鍊嶆暟涓句緥 ...
绛旓細3x7x3=63 63瀵逛簬4锛5鏉ヨ閮浣3锛瀵逛簬6浣3锛屽浜8浣7锛屼负浜嗘弧瓒抽鎰忛渶瑕3x7x3=63鍦ㄤ箻浠ヤ竴涓笉琚2鏁撮櫎鏁 3x7x3x7=63x7=441 1涓1涓嬁锛屾濂芥嬁瀹屻 ...441闄1绛変簬441 2涓2涓嬁锛岃繕鍓1涓 . ...441闄2绛変簬220浣1 3涓3涓鎷匡紝姝ｅソ鎷垮畬銆 ...441闄3绛変簬147 4涓4涓嬁锛岃繕鍓1涓
绛旓細(6)寮 n=3(a+1)璇存槑涓綅鏁颁笉鍙兘鏄0锛屼篃灏辨槸璇翠釜浣嶆暟鍙兘鏄1 缁煎悎(7)寮弉=5脳7脳8脳9N+7脳9k N浜轰换鎰忚嚜鐒舵暟锛7脳9k鐨勪釜浣嶆暟鍙兘鏄1锛鎵浠=10n+7,鍏舵渶灏忓间负7 姝ゆ椂7脳9k=7脳9脳7=441锛岀敤(6)(8)寮忓幓楠岃瘉鎴愮珛锛岃鏄绡瓙涓渶灏戣浜441涓楦¤泲 绡瓙涓浮铔嬫暟閲忛氬紡锛歯=5脳7脳8脳...
绛旓細鍗63n=40k+1 k=(63n-1)/40鍥犱负n锛宬鍧囦负姝ｆ暣鏁版墍浠ュ綋n=7鏃讹紝K鐨勬渶灏忓间负11 鎵浠ヨ繖绛愰浮铔嬬殑鏈灏忓间负63*7=40*11+1=441涓2涓2涓嬁锛岃繕鍓1涓4涓4涓嬁锛岃繕鍓1涓8涓8涓嬁锛岃繕鍓1涓傝鏄绡瓙閲岀殑楦¤泲涓暟涓哄鏁般3涓3涓鎷匡紝姝ｅソ鎷垮畬銆7涓7涓嬁锛屾濂芥嬁瀹屻9涓9涓嬁锛屾濂...
绛旓細鍗63n=40k+1 k=(63n-1)/40鍥犱负n锛宬鍧囦负姝ｆ暣鏁版墍浠ュ綋n=7鏃讹紝K鐨勬渶灏忓间负11 鎵浠ヨ繖绛愰浮铔嬬殑鏈灏忓间负63*7=40*11+1=441涓2涓2涓嬁锛岃繕鍓1涓4涓4涓嬁锛岃繕鍓1涓8涓8涓嬁锛岃繕鍓1涓傝鏄绡瓙閲岀殑楦¤泲涓暟涓哄鏁般3涓3涓鎷匡紝姝ｅソ鎷垮畬銆7涓7涓嬁锛屾濂芥嬁瀹屻9涓9涓嬁锛屾濂...
绛旓細70*1+21*2+15*3-105=70+42+45-105=52 绡瓙閲屾湁52涓楦¤泲銆
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绛旓細鍗63n=40k+1 k=(63n-1)/40鍥犱负n锛宬鍧囦负姝ｆ暣鏁版墍浠ュ綋n=7鏃讹紝K鐨勬渶灏忓间负11 鎵浠ヨ繖绛愰浮铔嬬殑鏈灏忓间负63*7=40*11+1=441涓2涓2涓嬁锛岃繕鍓1涓4涓4涓嬁锛岃繕鍓1涓8涓8涓嬁锛岃繕鍓1涓傝鏄绡瓙閲岀殑楦¤泲涓暟涓哄鏁般3涓3涓鎷匡紝姝ｅソ鎷垮畬銆7涓7涓嬁锛屾濂芥嬁瀹屻9涓9涓嬁锛屾濂...
绛旓細姝ゆ暟涓5*8=40鐨勫嶆暟+1涓.璁炬鏁颁负40k+1鍗63n=40k+1k=(63n-1)/40鍥犱负n锛宬鍧囦负姝ｆ暣鏁版墍浠ュ綋n=7鏃讹紝K鐨勬渶灏忓间负11鎵浠ヨ繖绛愰浮铔嬬殑鏈灏忓间负63*7=40*11+1=441涓2涓2涓嬁锛岃繕鍓1涓4涓4涓嬁锛岃繕鍓1涓8涓8涓嬁锛岃繕鍓1涓傝鏄绡瓙閲岀殑楦¤泲涓暟涓哄鏁般3涓3涓鎷匡紝姝ｅソ鎷垮畬銆
