学而思崔帅奥数74讲
奥数74讲├──[第10讲]数学思想与方法（从反面情况考虑）
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├──[第11讲]数学思想与方法（从特殊情况考虑）
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├──[第12讲]多次相遇与追及（一）
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├──[第13讲]多次相遇与追及（二）
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├──[第14讲]复杂抽屉原理
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├──[第15讲]质数与合数
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├──[第16讲]蝴蝶模型
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├──[第17讲]数学思想与方法（对应与转化思想）
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| └──课程说明及新课.docx11.55kb
├──[第18讲]本期重、难点归纳总结
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├──[第19讲]分数计算技巧（裂项）
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├──[第1讲]分数基本计算（已看完）
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| ├──复习.mp49.79M
| ├──介绍.mp436.63M
| ├──例1.mp423.75M
| ├──例2.mp420.83M
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├──[第20讲]分数计算技巧（换元、通项归纳）
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├──[第21讲]圆和扇形的周长与面积（一）
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├──[第22讲]圆和扇形的周长与面积（二）
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├──[第23讲]分数应用题
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├──[第24讲]燕尾模型
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├──[第25讲]工程问题
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├──[第26讲]因数与倍数（一）——公因数公倍数
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├──[第27讲]解分数系数方程
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├──[第28讲]列分数系数方程解应用题
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├──[第29讲]多人相遇与追及（一）
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| └──a5b8f3a6c3513f60a5c669b30d4b1fcb.mp421.54M
├──[第2讲]比例初步
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| ├──复习1.mp421.20M
| ├──复习2.mp420.87M
| ├──介绍.mp416.98M
| ├──例1.mp422.00M
| ├──例2.3.mp421.02M
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├──[第30讲]多人相遇与追及（二）
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├──[第31讲]因数与倍数（二）——约数倍数综合运用
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| ├──因数与倍数（二）——约数倍数综合运用例1.mp414.06M
| ├──因数与倍数（二）——约数倍数综合运用例2-例3.mp423.26M
| ├──因数与倍数（二）——约数倍数综合运用例4.mp49.72M
| ├──因数与倍数（二）——约数倍数综合运用例5.mp410.92M
| ├──因数与倍数（二）——约数倍数综合运用例6.mp412.10M
| └──因数与倍数（二）——约数倍数综合运用例7.mp415.27M
├──[第32讲]游戏与对策（二）——数论类游戏
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| ├──游戏与对策（二）——数论类游戏例1.mp415.63M
| ├──游戏与对策（二）——数论类游戏例2.mp414.42M
| ├──游戏与对策（二）——数论类游戏例3.mp421.03M
| ├──游戏与对策（二）——数论类游戏例4.mp416.96M
| └──游戏与对策（二）——数论类游戏例5.mp428.30M
├──[第33讲]比例应用题（一）——份数的应用
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| └──比例应用题（一）——份数的应用.doc267.00kb
├──[第34讲]完全平方数（一）
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├──[第35讲]完全平方数（二）
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├──[第36讲]数字谜综合（一）——分数小数数字迷
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├──[第37讲]进位制与位值原理
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├──[第38讲]本期重、难点归纳总结
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├──[第39讲]等比数列（一）
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| └──d41df604f43a6f6d981b5f6ca2f4bfb5.mp416.44M
├──[第3讲]循环小数
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| ├──q50d55a04084542c750f7b830fe65ad1c.mp434.91M
| ├──例2.mp426.57M
| ├──例3.mp421.02M
| └──例4.mp421.60M
├──[第40讲]等比数列（二）
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├──[第41讲]数列与数表综合
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├──[第42讲]时钟问题（一）
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├──[第43讲]时钟问题（二）
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├──[第44讲]余数问题（一）
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├──[第45讲]余数问题（二）
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├──[第46讲]流水行船（一）
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├──[第47讲]流水行船（二）
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├──[第48讲]容斥原理（一）
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├──[第49讲]容斥原理（二）
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| └──e8c318ac84ab2ea71ec6c982a7509abc.mp418.50M
├──[第4讲]共边模型
| ├──13083020566174.doc300.50kb
| ├──3d37c981fcceb53ca739c4566ab624c8.mp415.80M
| ├──611313a6e1c3960fcd0a9f446e4a4bda.mp418.60M
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| ├──b38e4cd30377a2cb4140c111f120141d.mp420.17M
| └──da1d84806d635dd987abe7ed005efd0b.mp47.47M
├──[第50讲]竞赛试题选编一（走美杯）
| ├──0db1f00cfc52e6eb41d17df610af6935.mp414.23M
| ├──13250717464233.doc565.00kb
| ├──405d7f6a742965b841d6367c30a2950b.mp425.95M
| ├──6b562b377bc7dd9627a5f64b1b98f181.mp417.14M
| └──d740b1ae05ece4fc31f32b3ca9d2e9dd.mp425.55M
├──[第51讲]竞赛试题选编二（希望杯）
| ├──13252345746497.doc239.00kb
| ├──19d401de4b5606b4755063b67ccf4828.mp420.02M
| ├──3c329316d3ca0a116f3d05d987d64e0d.mp414.01M
| ├──94089def1babc271b64c1b43447384cc.mp415.79M
| ├──c11f2a43a936096c02a858b4cebdd557.mp412.67M
| └──e8a9565dd1f71b26a3169c121ce2a923.mp423.55M
├──[第52讲]竞赛试题选编三（迎春杯）
| ├──020e933e455785a682d73fb9fcb8d154.mp424.09M
| ├──13256666495167.doc509.50kb
| ├──4a9793734ff02ca27cc14b2601cde82d.mp411.27M
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| └──f8cde499acecdc49af684e7361c836be.mp424.45M
├──[第53讲]竞赛试题选编四（华杯赛）
| ├──0176523e022e4fc3349907b85a9b4573.mp413.42M
| ├──13258335244074.doc194.00kb
| ├──3cc486fb8a18900f905c74146c7cd244.mp413.80M
| ├──99d99c3e8473c21145546a515d8a09f7.mp427.49M
| ├──c0af71b1e07b2f42773e0abcd3a097f0.mp419.24M
| └──fbd56859c0d9aef70740d54f5bfa1f04.mp414.98M
├──[第54讲]本学期知识梳理与总结
| ├──13258335635377.doc780.00kb
| ├──261ab00e17b433d65abcddfb538a3ac2.mp411.16M
| ├──43679010d6a01006171129f8377513f3.mp49.10M
| ├──a441b670817cb01229aeab40da7c3563.mp412.69M
| ├──cfede38d7e862825df40e96f5f1e0345.mp424.85M
| └──e56b2683e5ac548eeaba8f2802182f03.mp421.99M
├──[第55讲]分数四则混合运算
| ├──13251604612039.doc184.50kb
| ├──1c8c0377a4dd319d61ca8045a69f1e22.mp413.95M
| ├──56d54eaac9f453d48bceea6413ccbeb5.mp48.11M
| ├──96497ebf516959d2a53d3b704220f433.mp416.81M
| ├──d979963dc3a1a319b75e0233b12252ad.mp418.11M
| └──e22bda5304e19a796eb745724c6af4ea.mp416.63M
├──[第56讲]数学思想与方法（从简单情况入手）
| ├──13269719526514.doc131.00kb
| ├──2b621112dbd16d09bc621773f9cc523f.mp427.63M
| ├──3cd42561b38b82b52b026f578a0a4d53.mp413.77M
| ├──43e01249222510441b22cb693a80da07.mp427.29M
| ├──99612f25c8e18de497a93dd3ca999e13.mp411.89M
| └──bb1f071fa2d461f4dd1b34d3d63fa6c8.mp414.64M
├──[第57讲]染色与覆盖（一）
| ├──13270555073483.doc128.50kb
| ├──139b4390181529fdee6785fb147f221a.mp416.29M
| ├──1d554567174fb7f28436b0509c92fcd7.mp423.99M
| ├──53b5a7c52132490ab90bb84eb65fdd1e.mp416.02M
| ├──571dd1254a69f0167cf534c3bf79aa36.mp420.81M
| └──cf5d6972d10f7b2a610e642ffaf2b0c8.mp410.98M
├──[第58讲]染色与覆盖（二）
| ├──13298179859032.doc130.50kb
| ├──55c52c2960ee191522885dfae547f25c.mp413.73M
| ├──73aace3d7a3b446c71e258e2e7e08c08.mp420.35M
| ├──b035a817daed6556ed8c848cdb8f4bec.mp416.29M
| ├──b0e08c09b399279f146b7e5b5567813e.mp424.89M
| ├──c6e8b5f497a9588c15e9eae3777e62a8.mp417.39M
| └──df90eac7b7ade4bf12a1b15dfb8ed934.mp413.25M
├──[第59讲]因数与倍数综合运用
| ├──10681d0a368ea904c94d4a851be59c66.mp412.67M
| ├──13299027454070.doc118.50kb
| ├──367f9499173ac0467f43abbf867c69f9.mp426.10M
| ├──989de966061322a07b96fffe28497e80.mp412.82M
| ├──a76d53e3a4b82fd45f0812b74e65cb1b.mp415.11M
| ├──b50d9134293e292bfc86418da690a973.mp421.01M
| └──cb5698abbc2132457312c5065b34a625.mp413.37M
├──[第5讲]共角模型
| ├──0572d31c5167f498a5ec9694a9e30f30(1).mp425.42M
| ├──13089148419328.doc288.50kb
| ├──4427f1c47536228be2184158cf1da181(1).mp417.55M
| ├──740c44b46c7faa55493ab74d73906e00.mp437.40M
| ├──bdf4653ca4bfcc119e48045b2cdbefe8.mp415.78M
| └──ce14625b0e321bc158635f45091b4bb4.mp415.74M
├──[第60讲]行程问题——方程与比例方法(一)
| ├──13305092954187.doc291.00kb
| ├──3d3573013a2bf0c56292e755805b5963.mp412.78M
| ├──44665643d8e1882c934df7b5f0f42a57.mp415.87M
| ├──63260c1c4e64afc96da69b0414880c22.mp48.43M
| ├──a678130159e8c2c007abb9b100af4f8f.mp419.88M
| ├──c4e0b504c3062b33c82a1f02f69ca033.mp422.25M
| └──dd8207fa4c51903ee6fcdd1a3c2ef554.mp417.38M
├──[第61讲]行程问题——方程与比例方法(二)
| ├──13305093277718.doc121.00kb
| ├──1f120ec2ce34cccc0994b449a37d85b2.mp420.18M
| ├──4fb6adb5fdecbeca14c54fb5af9f0e3e.mp421.73M
| ├──759ce2bb52538a0d4c52bee77c3586ac.mp438.56M
| ├──944fa20611f6e7ea90067e57e19217c2.mp425.87M
| └──b935d7aba2746ca27adb16e5645f15fd.mp415.50M
├──[第62讲]复合图形的分拆（一）
| ├──13311090185749.doc155.00kb
| ├──28883fec586db62694c04d8dc4508111.mp419.23M
| ├──5b6bc8d443f5de0f26db366a5b1b90b1.mp415.96M
| ├──7a9415b6e0e6262cc7c72e0dbdcd84aa.mp419.42M
| ├──8eb95906b2ba28b0fca57e6980fa16ca.mp416.61M
| └──991dc90caf5f905653693afb17f7e19a.mp423.06M
├──[第63讲]复合图形的分拆（二）
| ├──13311090559830.doc153.50kb
| ├──57d92018647a2fb3e76d3e63190c75f6.mp416.74M
| ├──677b6eeea3a774e6f64a7c3d9eab4744.mp415.82M
| ├──965c2329b4763e2f11f891a2c32514c9.mp415.21M
| ├──9afd3676beccd7c997dc0fffb1e18b27.mp419.80M
| └──c9643a081ed6b53efce6168774de8fd7.mp414.74M
├──[第64讲]多元一次方程组（一）
| ├──13317206132398.doc121.00kb
| ├──65b988c585b1a709000d71d195b21a75.mp427.11M
| ├──6f0f1e9cd75b81f058eec2a91841b13d.mp436.53M
| ├──c39e68162f88ec315451299a3686b43d.mp415.71M
| ├──ca8c19d14c03650e6d95250683d335ae.mp415.79M
| └──e4327b81949b5189f70f036213b6185e.mp414.70M
├──[第65讲]多元一次方程组（二）
| ├──13317206452224.doc120.00kb
| ├──1f7eb9041770198f4e99b9564cfcc226.mp420.07M
| ├──32e86d9ee242aa5d7f2a9f219f6f34af.mp420.65M
| ├──a896f05416be51caf4229ba688f452e2.mp420.77M
| ├──c557b7ba54ce90e908600615988bbbfe.mp424.58M
| └──e97fdf31634eaceb3cb54bcf6ddf4170.mp419.81M
├──[第66讲]同余（一）
| ├──0c019da0fa81b61b4f89f8d0414bdfc8.mp422.31M
| ├──11fbb9e08b9d0ee711b1f54c15f55a55.mp425.80M
| ├──13323208606368.doc114.00kb
| ├──3e63696ab5a2f501e1447d64fc95236d.mp415.75M
| ├──99eb9eb589079a7abf6c1f1e4e1aabcf.mp425.38M
| └──f27688f17187d540f438210faa5c7f9b.mp420.51M
├──[第67讲]同余（二）
| ├──01351dbc2cc629bba0d6fbeef2905bde.mp417.28M
| ├──114cdae95bfcfb37c44bcfb888ca767a.mp414.76M
| ├──13323208895268.doc118.00kb
| ├──3790d266858b917acc615da6a51bf163.mp416.54M
| ├──7bc0a4c5b86044aae3d908de1838609d.mp422.23M
| └──bed48034d73526af7c505d775e5c9cc5.mp411.70M
├──[第68讲]比较与估算（一）
| ├──06d27ace29850caa2df47a199b231674.mp424.95M
| ├──13329152149643.doc180.00kb
| ├──32f10b282d3ca6cfc906345ed2c78905.mp423.15M
| ├──5b6b0013f8da1125e1014d2a22f51cbf.mp415.39M
| ├──6dc642167370fab54fd92def8906e86e.mp422.59M
| └──90631abe024478a1336dbdcc0ec9811e.mp425.84M
├──[第69讲]比较与估算（二）
| ├──04b408573bbd0f78cecd0a1880601063.mp426.04M
| ├──13329152458266.doc168.50kb
| ├──5b34d0aa02150fa7112451c4812205fe.mp418.93M
| ├──6e89a70249c8536180b82678ea0be911.mp416.96M
| ├──b0480957f13033d550e97aaf8e0fa448.mp420.17M
| └──fe0a7cc8d4defc3d3b58146ee25ed4d1.mp423.31M
├──[第6讲]牛吃草问题（一）
| ├──13089148871244.doc435.00kb
| ├──17bc4e98b3f16662415b6b2cfa4c23ca.mp423.17M
| ├──21f35698e39b76ed613630f3bc7746ef.mp418.44M
| ├──32516a2d6eb176c0f1ac608c399750b8.mp423.10M
| ├──e1809ac97c8d9a44685e2de8fb50fb11.mp412.45M
| └──e9dca2ddea580563659047adde2a6dff.mp434.59M
├──[第70讲]定义新运算
| ├──13332708104774.doc152.50kb
| ├──58d201d570dedbaac486338a838c2ee2.mp416.10M
| ├──af0275dfdb49b30dff09f053dfd5e10a.mp414.65M
| ├──cf55b891a46568713f9213929f6492b0.mp421.09M
| └──eec63eb6c184ca53d8d821f62e20c4d4.mp427.02M
├──[第71讲]不定方程
| ├──13332708385476.doc121.50kb
| ├──14fc1b0532b499ccf2aab9d8dcc48d3c.mp422.38M
| ├──8cb2ef895bd989f4c62f9ef4b6dc179d.mp414.67M
| ├──ac4d1e60f8352e25a18a593e2858e150.mp424.36M
| └──c314c637cc49edf9a91f6f3624c98f32.mp420.03M
├──[第72讲]电梯、发车间隔与接送问题
| ├──13341298917218.doc122.50kb
| ├──68af9680e81c38dc2b0a2cd7f498478a.mp420.19M
| ├──9abf31f88d1cf6d60fa3f18b448af843.mp413.70M
| ├──a88b34180bc17d9b80db17742ab55e62.mp419.13M
| ├──ac154e496ad46cafdea1d06214727a10.mp419.60M
| ├──bdefce03f1bfb635b1234d9406f05f60.mp412.62M
| └──c6b90a25e0d2d84c770649b19a5af6fe.mp420.05M
├──[第73讲]余数问题（逐级满足法）
| ├──02ac10e74c6803255d313dcf7c4feeb6.mp416.28M
| ├──13341299262938.doc127.00kb
| ├──2c9e86f0599bcbb28edc31c3b0b26172.mp419.36M
| ├──3bfc484ecab3aebfdc97ec24a97405d3.mp423.39M
| └──d8093617750f763b60355d19d00a4dd8.mp414.52M
├──[第74讲]本学期知识梳理与总结
| ├──13346546988170.doc1.07M
| ├──7030e56c35c3e86be1defcab1166402c.mp422.21M
| ├──b6a089238506843f427fafd325b7af05.mp429.35M
| ├──c4cbfbd1f2bd697a9941d93a9e423888.mp427.46M
| └──ec0c28e262dffbc87aed76395fde1ef4.mp420.41M
├──[第7讲]牛吃草问题（二）
| ├──0bad3e1098b6c492935317cc8a9d2aaf.mp416.67M
| ├──13089149234502.doc299.50kb
| ├──5593bfa931273cde50a642d4f34ee74c.mp435.90M
| ├──8278e2bbc18719bdd377b541aa9e94f1.mp418.85M
| ├──a2955969da198ab53da45b6b49bbf2fb.mp415.72M
| └──e60d9b43658dcb33f561f63c870d9d21.mp417.00M
├──[第8讲]数的整除的综合运用（一）
| ├──13096876354582.doc253.00kb
| ├──2fba7e7c3b70c0fa71cabc062000d0d1.mp418.85M
| ├──7cf91787c39641d08257dfa9dd789224.mp417.18M
| ├──80042deb280abf295174bbd3e4d6cc59.mp416.54M
| ├──9246d1b4e6ee71552f53669a294b6cd8.mp421.64M
| ├──be66c1af9d44d793ce4ffad79753b1ab.mp429.14M
| └──e41f60f1b9c4f447fba70b5a7ea0ee72.mp421.88M
├──[第9讲]数的整除的综合运用（二）
| ├──13095165654242.doc137.00kb
| ├──1c975e410f4e71d9af2787c5961c179d.mp431.29M
| ├──747a78552e855364564ecdf9bb889d1a.mp430.33M
| ├──90b7cf2adbc8d6b6685608cab43b7ea0.mp415.34M
| └──9b9301bd0ee03a808aa43349a11c408d.mp428.86M
└──课程目录.docx11.55kb
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