一个容器内已注满水,有大,中小三个球,第一次放入小球沉入水中，第二次把小球取出，把中球沉入水中，第三次
\u4e00\u4e2a\u5bb9\u5668\u5185\u5df2\u6ce8\u6ee1\u6c34\uff0c\u73b0\u6709\u5927\uff0c\u4e2d\uff0c\u5c0f\u4e09\u4e2a\u7403\uff0c\u7b2c\u4e00\u6b21\u628a\u5c0f\u7403\u6c89\u5165\u6c34\u4e2d\uff0c\u7b2c\u4e8c\u6b21\u628a\u5c0f\u7403\u53d6\u51fa\uff0c\u63d0\u793a\uff1a\u4ece\u5bb9\u5668\u4e2d\u6ea2\u51fa\u6c34\u91cf\uff1a\u7b2c\u4e00\u6b21\u662f\u5c0f\u7403\u7684\u4f53\u79ef\uff0c\u7b2c\u4e8c\u6b21\u662f\u4e2d\u7403-\u5c0f\u7403\uff0c\u7b2c\u4e09\u6b21\u662f\u5927\u7403+\u5c0f\u7403-\u4e2d\u7403\u3002
\u8bbe\u5c0f\u7403\u3001\u4e2d\u7403\u3001\u5927\u7403\u7684\u4f53\u79ef\u5206\u522b\u662fX\u3001Y\u3001Z\uff0c\u5219
X=(Y-X)/3,\u5373Y=4X
X+Z-Y=2.5X\u5373Z=11X/2,
\u6240\u4ee5X:Y:Z=1:(4):\uff0811/2\uff09=2:8:11
\u4e00\u697c\u7684\uff0c\u6ca1\u63d0\u4e0d\u7b54\uff0c\u4f60\u8fd8\u8bf4\u4ec0\u4e48\u3002
\u203b\u7231\u7684\u5c0f\u5e03\u4e01\uff0c\u60a8\u597d
\u5c0f\u7403\u6ea2\u51fa\u7684\u6c34\u91cf\u4e3a1\u4e2a\u5355\u4f4d\uff0c\u7b2c\u4e8c\u6b21\u628a\u4e2d\u7403\u6c89\u5165\u6c34\u4e2d\u662f\u7b2c\u4e00\u6b21\u76843\u500d\uff0c\u8bf4\u660e\u4e2d\u7403\u7684\u4f53\u79ef\u662f1\uff0b3\uff1d4\u4e2a\u5355\u4f4d\uff0e
\u7b2c\u4e09\u6b21\u628a\u5c0f\u7403\u548c\u5927\u7403\u4e00\u8d77\u6c89\u5165\u6c34\u4e2d\u662f\u4e00\u6b21\u76842.5\u500d\uff0c\u5c0f\u7403\u4e0e\u5927\u7403\u7684\u4f53\u79ef\u548c\u662f4\uff0b2.5\uff1d6.5\u4e2a\u5355\u4f4d\uff0c\u5927\u7403\u7684\u4f53\u79ef\u662f6.5\uff0d1\uff1d5.5\u4e2a\u5355\u4f4d
\u4e09\u4e2a\u7403\u7684\u4f53\u79ef\u6bd4\u662f1\uff1a4\uff1a5.5\uff1d2\uff1a8\uff1a11
\u61c2\u4e86\u5417\uff1f\u4e0d\u61c2\u518d\u95ee
1:3:7
绛旓細璁惧皬鐞冪殑浣撶Н涓篴锛屼腑鐞冧綋绉负b锛屽ぇ鐞冧綋绉负c銆傜涓娆℃孩鍑虹殑姘翠綋绉负锛歛 绗簩娆℃孩鍑虹殑姘翠綋绉负锛歜-a 绗笁娆℃孩鍑虹殑姘翠綋绉负锛歛+c-(b-a)-a=a+c-b 绗竴娆℃槸绗簩娆＄殑1/2,绗笁娆℃槸绗簩娆＄殑1.5鍊嶏細2a=b-a a+c-b=1.5*锛坆-a锛夎В1寮忥細b=3a 灏3寮忎唬鍏2寮忥細a+c-3a=1.5*锛...
绛旓細璁惧皬鐞冧綋绉负x 涓y 澶 婊℃按浣撶Н涓1 绗竴娆℃孩鍑洪噺涓簒 鎷垮嚭鐞冨悗姘村墿1-x 鎷垮嚭鐞冨悗姘村墿 1-x 绗簩娆℃孩鍑洪噺涓猴紙1-x+y)-1 鎷垮嚭鐞冨悗姘村墿 1-y 绗笁娆℃孩鍑洪噺涓簒+z+(1-y)-1= x+z-y 鏍规嵁棰樹腑鏉′欢寰 y-x=3x 鍗 y=4x x+z-y=2.5x 鍗 z=5.5x 鎵浠ヨ繖涓変釜鐞冪殑姣斾负 x:y:z=...
绛旓細绗簩娆℃孩鍑虹殑姘存槸绗竴娆＄殑3鍊嶅嵆婧㈠嚭浜1X3=3鐨姘达紝鎵浠涓鐞冪殑浣撶Н鎺掑嚭鐨勬按杩樿鍔犱笂涔嬪墠灏忕悆鎺掑嚭鐨勬按鐨勪綋绉嵆涓1+3=4 绗笁娆＄殑鍓嶆彁鏄凡缁忔帓鍑轰簡涓悆浣撶Н鐨勬按4锛屽張鏄洜涓哄鐢ㄤ簡涓涓灏忕悆锛屾墍浠ヨ鍑忔帀1鍗充负锛4-1=3锛屽啀鍔犱笂鎺掑嚭鐨2.5鍗充负3+2.5=5.5 鎵浠 灏 锛 涓 锛 澶=1 锛 4 锛 ...
绛旓細灏忕悆锛涓鐞=锛1/2锛夛細锛1+1/2锛=1锛3=2锛6 (灏忕悆+澶х悆锛夛細涓悆=锛1+1/2锛壝1.5锛氾紙1+1/2锛1=3锛2 鎵浠2灏忕悆+2澶х悆=3涓悆锛2澶х悆=3涓悆-2/3涓悆=7/3涓悆 鎵浠ヤ腑鐞冿細澶х悆=2锛7/3=6锛7 鎵浠ヤ笁涓悆鐨勪綋绉箣姣旀槸灏忕悆锛氫腑鐞冿細澶х悆=2锛6锛7 绁濅綘寮蹇 ...
绛旓細灏忕悆绗竴娆℃孩鍑虹殑姘撮噺涓1涓鍗曚綅锛岀涓娆℃孩鍑烘按鐨勪綋绉=灏忕悆鐨勪綋绉=1锛岀浜屾婧㈠嚭姘寸殑浣撶Н=涓悆鐨勪綋绉-灏忕悆鐨勪綋绉紝绗簩娆℃妸涓悆娌夊叆姘翠腑鏄涓娆＄殑3鍊嶏紝璇存槑涓悆鐨勪綋绉槸1+3=4涓崟浣嶏紟 绗笁娆℃妸灏忕悆鍜屽ぇ鐞冧竴璧锋矇鍏ユ按涓槸涓娆＄殑2.5鍊嶏紝灏忕悆涓庡ぇ鐞冪殑浣撶Н鍜屾槸4+2.5=6.5涓崟浣嶏紝澶х悆鐨勪綋绉...
绛旓細V3:V2:V1=11:8:2 涓涓鍣ㄥ唴浠娉ㄦ弧浜姘达紝鏈夊ぇ涓皬涓変釜鐞冿紝绗竴娆℃妸灏忕悆娌夊叆姘翠腑锛岀浜屾鎶婂皬鐞冨彇鍑猴紝鏀惧叆涓悆锛岀涓夋鎶婁腑鐞冨彇鍑猴紝鏀惧叆澶х悆鍜屽皬鐞冩矇鍏ユ按涓傜幇鍦ㄦ瘡娆′粠姘翠腑婧㈠嚭鐨勬按閲忔儏鍐垫槸锛氱涓娆℃槸绗簩娆＄殑涓夊垎涔嬩竴锛岀涓夋鏄殑涓娆＄殑2.5鍊嶃傚垯澶涓皬鐞冪殑浣撶Н涔嬫瘮鏄紙11:8:2 锛夈
绛旓細绗竴娆℃妸灏忕悆娌夊叆姘翠腑锛屾孩鍑虹殑鏄皬鐞冪殑浣撶Н锛屽亣璁炬槸1锛涚浜屾鎶婂皬鐞冨彇鍑猴紝鎶婁腑鐞冩矇鍏ユ按涓锛屼腑鐞冮鍏堣琛ヤ笂灏忕悆鐨勪綋绉1锛鍙堟孩鍑轰簡1鐨3鍊嶏紝閭ｄ腑鐞冪殑浣撶Н灏辨槸1+3=4锛涚涓夋鍙栧嚭涓悆锛屾妸灏忕悆鍜屽ぇ鐞冧竴璧锋矇鍏ユ按涓紝婧㈠嚭鐨勬槸绗竴娆＄殑2.5鍊嶏紝涔熷氨鏄2.5锛岃繕瑕佸姞涓婅ˉ涓婁箣鍓嶆孩鍑虹殑1+3=4浠斤紝4+2....
绛旓細V3:V2:V1=11:8:2 涓涓鍣ㄥ唴浠娉ㄦ弧浜姘达紝鏈夊ぇ涓皬涓変釜鐞冿紝绗竴娆℃妸灏忕悆娌夊叆姘翠腑锛岀浜屾鎶婂皬鐞冨彇鍑猴紝鏀惧叆涓悆锛岀涓夋鎶婁腑鐞冨彇鍑猴紝鏀惧叆澶х悆鍜屽皬鐞冩矇鍏ユ按涓傜幇鍦ㄦ瘡娆′粠姘翠腑婧㈠嚭鐨勬按閲忔儏鍐垫槸锛氱涓娆℃槸绗簩娆＄殑涓夊垎涔嬩竴锛岀涓夋鏄殑涓娆＄殑2.5鍊嶃傚垯澶涓皬鐞冪殑浣撶Н涔嬫瘮鏄紙11:8:2 锛夈
绛旓細澶э紝涓紝灏忎笁涓悆鐨勪綋绉箣姣旀槸锛6 锛 3 锛 1锛変綘璁句竴寮濮嬫按閲忎负10锛岀涓娆″皬鐞冩孩鍑1锛鍓╀綑9锛岀浜屾婧㈠嚭2锛堝疄闄呬綋绉负3锛夛紝鍓╀綑7锛岀涓夋婧㈠嚭4锛堝ぇ鐞冨姞灏忕悆绛変簬7锛夛紝鍓╀綑3.鎵浠ュぇ鐞冧负6锛屼腑绉嬩负3锛屽皬鐞冧负1
绛旓細绗竴娆℃妸灏忕悆娌夊叆姘翠腑锛屾孩鍑虹殑鏄皬鐞冪殑浣撶Н锛屽亣璁炬槸1锛涚浜屾鎶婂皬鐞冨彇鍑猴紝鎶婁腑鐞冩矇鍏ユ按涓锛屼腑鐞冮鍏堣琛ヤ笂灏忕悆鐨勪綋绉1锛鍙堟孩鍑轰簡1鐨2鍊嶏紝閭ｄ腑鐞冪殑浣撶Н灏辨槸1+2=3锛涚涓夋鍙栧嚭涓悆锛屾妸灏忕悆鍜屽ぇ鐞冧竴璧锋矇鍏ユ按涓紝婧㈠嚭鐨勬槸绗簩娆＄殑2鍊嶏紝涔熷氨鏄2脳2=4锛岃繕瑕佸姞涓婅ˉ涓婁箣鍓嶆孩鍑虹殑1+2=3浠斤紝4+3...
