有黑白棋子一堆，其中黑棋子个数是白棋子个数的2倍。 有黑白棋子一堆,其中黑棋子个数是白棋子个数的两倍,如果从这堆...
\u6709\u9ed1\u767d\u68cb\u5b50\u4e00\u5806,\u9ed1\u5b50\u4e2a\u6570\u662f\u767d\u5b50\u4e2a\u6570\u76842\u500d,\u73b0\u5728\u4ece\u8fd9\u5806\u68cb\u5b50\u4e2d\u6bcf\u6b21\u53d6\u51fa\u9ed1\u5b504\u4e2a\u3001\u767d\u5b503\u4e2a.\u53d6\u51fa\u82e5\u5e72\u6b21\u540e\u53ef\u7528\u7a77\u53d6\u6cd5\u89e3\u7b54\uff1a
\u53d6\u4e00\u6b21\uff0c\u53ef\u53d6\u51fa\u767d\u5b503\u4e2a\uff0c\u9ed1\u5b504\u4e2a\uff0c\u6b64\u65f6\u8fd9\u5806\u68cb\u5b50\u6709\u767d\u5b503\u4e2a\uff0c\u9ed1\u5b504+16=20\u4e2a\uff0c
\u663e\u7136\u9ed1\u5b50\u4e2a\u6570\u4e0d\u662f\u767d\u5b50\u4e2a\u6570\u76842\u500d\uff0c\u820d\u5f03\u3002
\u53d6\u4e8c\u6b21\uff0c\u53ef\u53d6\u51fa\u767d\u5b503\u00d72=6\u4e2a\uff0c\u9ed1\u5b504\u00d72=8\u4e2a\uff0c\u6b64\u65f6\u8fd9\u5806\u68cb\u5b50\u6709\u767d\u5b506\u4e2a\uff0c\u9ed1\u5b508+16=24\u4e2a\uff0c
\u663e\u7136\u6b64\u65f6\u9ed1\u5b50\u4e2a\u6570\u4e0d\u662f\u767d\u5b50\u4e2a\u6570\u76842\u500d\uff0c\u820d\u5f03\u3002
\u53d6\u4e09\u6b21\uff0c\u53ef\u53d6\u51fa\u767d\u5b503\u00d73=9\u4e2a\uff0c\u9ed1\u5b504\u00d73=12\u4e2a\uff0c\u6b64\u65f6\u8fd9\u5806\u68cb\u5b50\u6709\u767d\u5b509\u4e2a\uff0c\u9ed1\u5b5012+16=28\u4e2a\uff0c
\u663e\u7136\u6b64\u65f6\u9ed1\u5b50\u4e2a\u6570\u4e0d\u662f\u767d\u5b50\u4e2a\u6570\u76842\u500d\uff0c\u820d\u5f03\u3002
\u53d6\u56db\u6b21\uff0c\u53ef\u53d6\u51fa\u767d\u5b503\u00d74=12\u4e2a\uff0c\u9ed1\u5b504\u00d74=16\u4e2a\uff0c\u6b64\u65f6\u8fd9\u5806\u68cb\u5b50\u6709\u767d\u5b5012\u4e2a\uff0c\u9ed1\u5b5016+16=32\u4e2a\uff0c
\u663e\u7136\u6b64\u65f6\u9ed1\u5b50\u4e2a\u6570\u4e0d\u662f\u767d\u5b50\u4e2a\u6570\u76842\u500d\uff0c\u820d\u5f03\u3002
\u53d6\u4e94\u6b21\uff0c\u53ef\u53d6\u51fa\u767d\u5b503\u00d75=15\u4e2a\uff0c\u9ed1\u5b504\u00d75=20\u4e2a\uff0c\u6b64\u65f6\u8fd9\u5806\u68cb\u5b50\u6709\u767d\u5b5015\u4e2a\uff0c\u9ed1\u5b5020+16=36\u4e2a\uff0c
\u663e\u7136\u6b64\u65f6\u9ed1\u5b50\u4e2a\u6570\u4e0d\u662f\u767d\u5b50\u4e2a\u6570\u76842\u500d\uff0c\u820d\u5f03\u3002
\u53d6\u516d\u6b21\uff0c\u53ef\u53d6\u51fa\u767d\u5b503\u00d76=18\u4e2a\uff0c\u9ed1\u5b504\u00d76=24\u4e2a\uff0c\u6b64\u65f6\u8fd9\u5806\u68cb\u5b50\u6709\u767d\u5b5018\u4e2a\uff0c\u9ed1\u5b5018+16=34\u4e2a\uff0c
\u663e\u7136\u6b64\u65f6\u9ed1\u5b50\u4e2a\u6570\u4e0d\u662f\u767d\u5b50\u4e2a\u6570\u76842\u500d\uff0c\u820d\u5f03\u3002
\u53d6\u4e03\u6b21\uff0c\u53ef\u53d6\u51fa\u767d\u5b503\u00d77=21\u4e2a\uff0c\u9ed1\u5b504\u00d77=28\u4e2a\uff0c\u6b64\u65f6\u8fd9\u5806\u68cb\u5b50\u6709\u767d\u5b5021\u4e2a\uff0c\u9ed1\u5b5028+16=44\u4e2a\uff0c
\u663e\u7136\u6b64\u65f6\u9ed1\u5b50\u4e2a\u6570\u4e0d\u662f\u767d\u5b50\u4e2a\u6570\u76842\u500d\uff0c\u820d\u5f03\u3002
\u53d6\u516b\u6b21\uff0c\u53ef\u53d6\u51fa\u767d\u5b503\u00d78=24\u4e2a\uff0c\u9ed1\u5b504\u00d78=32\u4e2a\uff0c\u6b64\u65f6\u8fd9\u5806\u68cb\u5b50\u6709\u767d\u5b5024\u4e2a\uff0c\u9ed1\u5b5032+16=48\u4e2a\uff0c
\u663e\u7136\u6b64\u65f6\u9ed1\u5b50\u4e2a\u6570\u662f\u767d\u5b50\u4e2a\u6570\u76842\u500d\uff0848=2\u00d724\uff09\u3002
\u2234\u8fd9\u5806\u68cb\u5b50\u6709\u767d\u5b5024\u4e2a\uff0c\u9ed1\u5b5048\u4e2a\uff0c
\u89e3\uff1a\u8bbe\u767d\u68cb\u5b50\u6709X\u4e2a\uff0c\u5219\u9ed1\u68cb\u5b50\u67092X\u4e2a\u3002 \uff082X-18\uff09\u9664\u4ee54=\uff08X-1\uff09\u9664\u4ee53 \u89e3\u5f97\uff0cX=25 \u7b54\uff1a\u53d625\u6b21\u540e\u767d\u68cb\u5b50\u5269\u4e0b\u4e00\u4e2a\uff0c\u800c\u9ed1\u68cb\u5b50\u5269\u4e0b18\u4e2a\u3002
\u91c7\u7eb3\u54e6
若每次同时取出6个黑棋子和3个白棋子，则应该都不余，
18÷（6-4）=9（次）
绛旓細鍙栦簡锛25-1锛壝3=8锛堟锛夌畻鏈柟娉曪細4梅2=2锛堜釜锛18梅2=9锛堜釜锛夛紙9-1锛壝凤紙3-2锛=8锛堟锛
绛旓細鍋囪鍙栦簡n娆★紝閭ｄ箞鐧藉瓙鍙栦簡4n涓彇瀹岋紝鎵浠ラ粦瀛愬簲璇ユ槸2*4n=8n涓紝鍙堝洜涓烘瘡娆″彇5棰楅粦瀛愬彇n娆″悗鍓╀綑15涓紝鎵浠8n=5n+15锛屽緱n=5锛屾墍浠ョ櫧瀛20棰楋紝榛戝瓙40棰椼
绛旓細鐧藉瓙鍘熸潵鐨勪釜鏁版槸锛4n+2 榛戝瓙鍘熸潵鐨勪釜鏁版槸锛9n+18 鐢遍鎰忕煡閬擄細锛4n+2锛壝3=9n+18 瑙ｅ緱锛 n=4
绛旓細4+8x=3x+29 x=5娆 鎴戞槸鑰佸笀 璋㈣阿閲囩撼
绛旓細鏈夐粦鐧芥瀛愪竴鍫,鍏朵腑榛戝瓙涓暟鏄櫧瀛愪釜鏁扮殑3鍊.濡傛灉浠庤繖鍫嗘瀛愪腑姣忔鍚屾椂鍙栧嚭榛戝瓧6涓,鐧藉瓙3涓,閭ｄ箞鍙栧灏戞鍚,鐧藉瓙浣5涓,榛戝瓙浣36涓?瑙ｏ細璁惧彇x娆″悗鐧藉瓙浣5涓,榛戝瓙浣36涓 (36+6x)/(5+3x)=3 36+6x=15+9x 3x=21 x=7 绛旓細鍙栦簡7娆″悗 鐧藉瓙浣5涓紝榛戝瓙浣36涓
绛旓細璁鹃粦瀛涓暟涓2x锛岀櫧瀛愪釜鏁颁负x锛岃鍙杕娆″悗鐧藉瓙浣1涓锛岃岄粦瀛愪綑18涓 瀵逛簬榛戝瓙 2x-4m=1 瀵逛簬鐧藉瓙 x-3m=18 姹傚嚭m=-35/2锛寈=-69/2锛岃繖鏄笉鍙兘鐨勶紝棰樼洰搴旇鏈夎銆
绛旓細鍋囪姣忔鍙栭粦瀛4涓櫧瀛2涓,鍒 鏈鍚庡簲璇ュ墿榛戝瓙8涓,鐧藉瓙4涓,鑰屽疄闄呯櫧瀛愬墿1涓 鎵浠 鍙栦簡:(4-1)梅(3-2)=3(娆)鎵浠 榛戝瓙鍏:4*3+8=20涓 鐧藉瓙=20梅2=10涓
绛旓細锛18梅2-1锛壝凤紙3-2锛夛紝=8梅1锛=8锛堟锛夛紱绛旓細閭ｄ箞鍙栧嚭8娆″悗锛岀櫧瀛愪綑1涓锛岃岄粦瀛愪綑18涓紟鏁呯瓟妗堜负锛8锛
绛旓細鏈夐粦鐧芥瀛愪竴鍫,鍏朵腑榛戝瓙涓暟鏄櫧瀛愪釜鏁扮殑3鍊.濡傛灉浠庤繖鍫嗘瀛愪腑姣忔鍚屾椂鍙栧嚭榛戝瓧6涓,鐧藉瓙3涓,閭ｄ箞鍙栧灏戞鍚,鐧藉瓙浣5涓,榛戝瓙浣36涓?瑙ｏ細璁惧彇x娆″悗鐧藉瓙浣5涓,榛戝瓙浣36涓 (36+6x)/(5+3x)=3 36+6x=15+9x 3x=21 x=7 绛旓細鍙栦簡7娆″悗 鐧藉瓙浣5涓紝榛戝瓙浣36涓
绛旓細鍋囪榛戝瓙姣忔鍙6涓佺櫧瀛愭瘡娆″彇3涓紝鍒欑櫧瀛愪綑1涓椂锛岄粦瀛愪綑2涓傜幇榛戝瓙鍙栧皯浜嗭紝鍒欓粦瀛愬鍑烘潵鐨鏁板瓧锛闄や笂搴斿彇鍜屽疄鍙栫殑宸紝灏辨槸鍙栫殑娆℃暟銆傛鏁 = 锛18 - 1脳2 锛壝 (3脳2 - 4)鐧藉瓙 = 锛18 - 1脳2 锛壝 (3脳2 - 4) 脳 3 + 1 = 25 榛戝瓙 = 25脳2 = 50 ...
