初中数学有理数的24点游戏题目库 2道24点游戏题目
\u4e03\u4e0a\u6570\u5b66\u9898\u6709\u7406\u657024\u70b9\u6e38\u620f\u6709\u6ca1\u6709\u6280\u5de7\uff1f\u201c\u5de7\u7b9724\u70b9\u201d\u662f\u4e00\u79cd\u6570\u5b66\u6e38\u620f\uff0c\u6e38\u620f\u65b9\u5f0f\u7b80\u5355\u6613\u5b66\uff0c\u80fd\u5065\u8111\u76ca\u667a\uff0c\u662f\u4e00\u9879\u6781\u4e3a\u6709\u76ca\u7684\u6d3b\u52a8\uff0e
\u201c\u5de7\u7b9724\u70b9\u201d\u7684\u6e38\u620f\u5185\u5bb9\u5982\u4e0b\uff1a\u4e00\u526f\u724c\u4e2d\u62bd\u53bb\u5927\u5c0f\u738b\u5269\u4e0b52\u5f20\uff0c\uff08\u5982\u679c\u521d\u7ec3\u4e5f\u53ef\u53ea\u75281\uff5e10\u8fd940\u5f20\u724c\uff09\u4efb\u610f\u62bd\u53d64\u5f20\u724c\uff08\u79f0\u724c\u7ec4\uff09\uff0c\u7528\u52a0\u3001\u51cf\u3001\u4e58\u3001\u9664\uff08\u53ef\u52a0\u62ec\u53f7\uff09\u628a\u724c\u9762\u4e0a\u7684\u6570\u7b97\u621024\uff0e\u6bcf\u5f20\u724c\u5fc5\u987b\u7528\u4e00\u6b21\u4e14\u53ea\u80fd\u7528\u4e00\u6b21\uff0c\u5982\u62bd\u51fa\u7684\u724c\u662f3\u30018\u30018\u30019\uff0c\u90a3\u4e48\u7b97\u5f0f\u4e3a\uff089\u20148\uff09\u00d78\u00d73\u62163\u00d78\uff0b\uff089\u20148\uff09\u6216\uff089\u20148\u00f78\uff09\u00d73\u7b49\uff0e
\u201c\u7b9724\u70b9\u201d\u4f5c\u4e3a\u4e00\u79cd\u6251\u514b\u724c\u667a\u529b\u6e38\u620f\uff0c\u8fd8\u5e94\u6ce8\u610f\u8ba1\u7b97\u4e2d\u7684\u6280\u5de7\u95ee\u9898\uff0e\u8ba1\u7b97\u65f6\uff0c\u6211\u4eec\u4e0d\u53ef\u80fd\u628a\u724c\u9762\u4e0a\u76844\u4e2a\u6570\u7684\u4e0d\u540c\u7ec4\u5408\u5f62\u5f0f\u2014\u2014\u53bb\u8bd5\uff0c\u66f4\u4e0d\u80fd\u778e\u78b0\u4e71\u51d1\uff0e\u8fd9\u91cc\u5411\u5927\u5bb6\u4ecb\u7ecd\u51e0\u79cd\u5e38\u7528\u7684\u3001\u4fbf\u4e8e\u5b66\u4e60\u638c\u63e1\u7684\u65b9\u6cd5\uff1a
1\uff0e\u5229\u75283\u00d78\uff1d24\u30014\u00d76\uff1d24\u6c42\u89e3\uff0e
\u628a\u724c\u9762\u4e0a\u7684\u56db\u4e2a\u6570\u60f3\u529e\u6cd5\u51d1\u62103\u548c8\u30014\u548c6\uff0c\u518d\u76f8\u4e58\u6c42\u89e3\uff0e\u59823\u30013\u30016\u300110\u53ef\u7ec4\u6210\uff0810\u20146\u00f73\uff09\u00d73\uff1d24\u7b49\uff0e\u53c8\u59822\u30013\u30013\u30017\u53ef\u7ec4\u6210\uff087\uff0b3\u20142\uff09\u00d73\uff1d24\u7b49\uff0e\u5b9e\u8df5\u8bc1\u660e\uff0c\u8fd9\u79cd\u65b9\u6cd5\u662f\u5229\u7528\u7387\u6700\u5927\u3001\u547d\u4e2d\u7387\u6700\u9ad8\u7684\u4e00\u79cd\u65b9\u6cd5\uff0e
2\uff0e\u5229\u75280\u300111\u7684\u8fd0\u7b97\u7279\u6027\u6c42\u89e3\uff0e
\u59823\u30014\u30014\u30018\u53ef\u7ec4\u62103\u00d78\uff0b4\u20144\uff1d24\u7b49\uff0e\u53c8\u59824\u30015\u3001J\u3001K\u53ef\u7ec4\u621011\u00d7\uff085\u20144\uff09\uff0b13\uff1d24\u7b49\uff0e
3\uff0e\u5728\u6709\u89e3\u7684\u724c\u7ec4\u4e2d\uff0c\u7528\u5f97\u6700\u4e3a\u5e7f\u6cdb\u7684\u662f\u4ee5\u4e0b\u516d\u79cd\u89e3\u6cd5\uff1a\uff08\u6211\u4eec\u7528a\u3001b\u3001c\u3001d\u8868\u793a\u724c\u9762\u4e0a\u7684\u56db\u4e2a\u6570\uff09
\u2460(a\u2014b\uff09\u00d7\uff08c\uff0bd\uff09
\u5982\uff0810\u20144\uff09\u00d7\uff082\uff0b2\uff09\uff1d24\u7b49\uff0e
\u2461\uff08a\uff0bb\uff09\u00f7c\u00d7d
\u5982\uff0810\uff0b2\uff09\u00f72\u00d74\uff1d24\u7b49\uff0e
\u2462\uff08a\uff0db\u00f7c\uff09\u00d7d
\u5982\uff083\u20142\u00f72\uff09\u00d712\uff1d24\u7b49\uff0e
\u2463\uff08a\uff0bb\uff0dc\uff09\u00d7d
\u5982\uff089\uff0b5\u20142\uff09\u00d72\uff1d24\u7b49\uff0e
\u2464a\u00d7b\uff0bc\u2014d
\u598211\u00d73\uff0bl\u201410\uff1d24\u7b49\uff0e
\u2465\uff08a\uff0db\uff09\u00d7c\uff0bd
\u5982\uff084\u2014l\uff09\u00d76\uff0b6\uff1d24\u7b49\uff0e
\u6e38\u620f\u65f6\uff0c\u540c\u5b66\u4eec\u4e0d\u59a8\u6309\u7167\u4e0a\u8ff0\u65b9\u6cd5\u8bd5\u4e00\u8bd5\uff0e
\u9700\u8981\u8bf4\u660e\u7684\u662f\uff1a\u7ecf\u8ba1\u7b97\u673a\u51c6\u786e\u8ba1\u7b97\uff0c\u4e00\u526f\u724c\uff0852\u5f20\uff09\u4e2d\uff0c\u4efb\u610f\u62bd\u53d64\u5f20\u53ef\u67091820\u79cd\u4e0d\u540c\u7ec4\u5408\uff0c\u5176\u4e2d\u6709458\u4e2a\u724c\u7ec4\u7b97\u4e0d\u51fa24\u70b9\uff0c\u5982A\u3001A\u3001A\u30015\uff0e
\u4e0d\u96be\u770b\u51fa\uff0c\u201c\u5de7\u7b9724\u70b9\u201d\u80fd\u6781\u5927\u9650\u5ea6\u5730\u8c03\u52a8\u773c\u3001\u8111\u3001\u624b\u3001\u53e3\u3001\u8033\u591a\u79cd\u611f\u5b98\u7684\u534f\u8c03\u6d3b\u52a8\uff0c\u5bf9\u4e8e\u57f9\u517b\u6211\u4eec\u5feb\u6377\u7684\u5fc3\u7b97\u80fd\u529b\u548c\u53cd\u5e94\u80fd\u529b\u5f88\u6709\u5e2e\u52a9\uff0e
\uff081\uff09\u73b0\u6709\u56db\u4e2a\u6709\u7406\u65703\uff0c4\uff0c-6\uff0c10\uff0c\u4f60\u80fd\u7528\u4e09\u79cd\u4e0d\u540c\u7684\u8fd0\u7b97\u65b9\u6cd5\uff0c\u4f7f\u5176\u7ed3\u679c\u4e3a24\u5417\uff1f
3\u00d7(4+-6+10)=24
3\u00d7(4+10+-6)=24
3\u00d7(-6+4+10)=24
3\u00d7(-6+10+4)=24
3\u00d7(10+4+-6)=24
3\u00d7(10-4)--6=24
3\u00d7(10+-6+4)=24
4--6\u00f73\u00d710=24
4--6\u00f7(3\u00f710)=24
(4+-6+10)\u00d73=24
4--6\u00d710\u00f73=24
4-10\u00f73\u00d7-6=24
4-10\u00f7(3\u00f7-6)=24
(4+10+-6)\u00d73=24
4-10\u00d7-6\u00f73=24
(-6+4+10)\u00d73=24
(-6+10+4)\u00d73=24
10-(3\u00d7-6+4)=24
10-3\u00d7-6-4=24
10-(4+3\u00d7-6)=24
10-4-3\u00d7-6=24
(10-4)\u00d73--6=24
(10+4+-6)\u00d73=24
10-(4+-6\u00d73)=24
10-4--6\u00d73=24
10-(-6\u00d73+4)=24
10--6\u00d73-4=24
(10+-6+4)\u00d73=24
\uff082\uff09\u82e5\u7ed9\u4f60\u7684\u6570\u662f7\uff0c3\uff0c-7\uff0c-3\uff0c\u80fd\u51d1\u621024\u5417\uff1f
[3+(-3)\u00f7(-7)]\u00d77=24
选取部分：
绛旓細鏍规嵁棰樻剰寰楋細锛2+4锛壝楋紙-3+7锛=6脳4=24锛庢晠绛旀涓猴細锛2+4锛壝楋紙-3+7锛
绛旓細24鐐规父鎴忛鐩銆-3,6,13,-1銆戝叡鏈16绉嶇畻娉 1. -3脳[锕-1锛13锕氾紜6]2. [锕-1锛6锕氾紞13]脳-3 3. [6锛嬶箼-1锛13锕歖脳-3 4. -3脳[6锛嶏箼13锛-1锕歖5. [锕6锛-1锕氾紞13]脳-3 6. [锕-1锛13锕氾紜6]脳-3 7. -3脳[锕6锛13锕氾紜-1]8. -3脳[6锛嬶箼-1锛13锕歖9. [...
绛旓細3銆8銆12銆10锛=24 [10梅锕8锛3锕歖脳12 10梅[锕8锛3锕毭12]锕12脳10锕毭凤箼8锛3锕10脳[12梅锕8锛3锕歖锕10脳12锕毭锋棪鑰挎祴闄呯埢瀹﹁涓鸿秴鍔涳箼8锛3锕12脳[10梅锕8锛3锕歖[12梅锕8锛3锕歖脳10 12梅[锕8锛3锕毭10]2銆9銆3銆4锛=-24 锛9+3锛墄(2-4)渚涘弬鑰冦
绛旓細绗竴绉嶏細銆10+锛-6锛+4銆暶3=24 绗簩绉嶏細-銆3脳锛-6锛-锛10-4锛夈=24 绗笁绉嶏細4-锛-6锛壝3脳10=24
绛旓細12, 12, 3, 1鐨24鐐绛旀锛1: 12 脳 3 - 12 脳 1 2: (12 脳 3) - 12 脳 1 3: (12 脳 3 - 12) 脳 1 4: ((12 脳 3) - 12) 脳 1 5: 12 脳 3 -(12 脳 1)6: (12 脳 3) - (12 脳 1)7: 12 脳 3 - 12 梅 1 8: (12 脳 3) - 12 梅 ...
绛旓細1銆12脳锛-1-1+4锛=24 2銆4脳12梅銆1-锛-1锛夈=24 3銆併愶紙-1锛塣4+1銆懨12=24
绛旓細24鐐规父鎴忛鐩銆3,4,-6,10銆戝叡鏈42绉嶇畻娉 1.[锕10锛-6锕氾紜4]脳3 2.10锛峓锕3脳-6锕氾紜4]3.3脳[4锛嬶箼-6锛10锕歖4.3脳[锕-6锛10锕氾紜4]5.4锛峓锕10脳-6锕毭3]6.4锛峓锕-6脳10锕毭3]7.4锛峓-6脳锕10梅3锕歖8.3脳[锕10锛-6锕氾紜4]9.[10锛嬶箼4锛-6锕歖脳3 10.[锕-...
绛旓細3+6+7+8=24 3脳8脳(7-6)=24 6脳(3-7+8)=24 8脳(3梅 (7-6))=24 8脳3脳(7-6)=24 8梅((7-6)梅3)=24
绛旓細24鐐规父鎴忛鐩銆-3,6,13,-1銆戝叡鏈16绉嶇畻娉 1. -3脳[锕-1锛13锕氾紜6]2. [锕-1锛6锕氾紞13]脳-3 3. [6锛嬶箼-1锛13锕歖脳-3 4. -3脳[6锛嶏箼13锛-1锕歖5. [锕6锛-1锕氾紞13]脳-3 6. [锕-1锛13锕氾紜6]脳-3 7. -3脳[锕6锛13锕氾紜-1]8. -3脳[6锛嬶箼-1锛13锕歖9. [...
绛旓細((7*11)+-5)/3 (7-3)*(11+-5)(7-3)*(-5+11)((11*7)+-5)/3 (11+-5)*(7-3)(-5+(7*11))/3 (-5+11)*(7-3)(-5+(11*7))/3
