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五年级数学学习笔记与课堂记录

  • 2026-02-11 11:24:16
五年级数学学习笔记与课堂记录

五年级数学学习笔记与课堂记录

📝 数学概念与原理
乘法原理：通过分步计数解决问题，用乘法。
加法原理：通过分类计数解决问题，独立完成。
行程问题：快车（72km/h）与慢车（54km/h）相向而行，分2种情况，相遇前和相遇后。

🔢 常识问题关于汇率换算

汇率：1元人民币=0.14美元
出口500元人民币货物=70美元
进口280美元货物=2000元人民币
人民币升值有利于进口

⭐图形面积计算
正方形分割问题：连接顶点与边中点，梯形面积比三角形大12cm²，三角形面积=6cm²。
🗒️规律探索
桌子拼摆：1张坐6人，2张坐10人=6+4，...，n张坐6+4(n-1)。

✏️ 解题方法总结
方程法：行程问题、书架书本数量问题中设未知数，关键是建立等量关系。

🪐图表法：阶梯气价、体温记录表（0-24时体温变化）使用表格分析数

🎯 学习成果亮点
宝贝在数学学习中展现了出色的逻辑思维和解题能力，无论是乘法原理、面积计算，还是规律探索题，都能清晰标注关键步骤，思路清晰。

面对不同类型的题目（如盲文数字分析、阶梯气价计算、行程问题），能灵活运用数学知识，并用红笔标注重点，学习习惯非常好！
💪 继续加油的方向
保持这份认真和专注，未来在更复杂的数学领域一定能取得更大进步！
🌟 老师想对你说
每一次细致的标注、每一道认真解答的题目，都见证着你的成长。数学的世界充满挑战，但你的耐心和努力就是最强大的武器，继续勇往直前吧！#数学思维培养 #数学学习方法分享 #数学题还能这样解 #小学生数学辅导 #数学题型分析 #小学数学知识点 #课堂笔记整理 #行程问题详解 #五年级数学学习笔记 #数学乘法原理应用 #加法原理解题技巧

樱姿感谢您

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      137. /yingpanguazai/ssd/ssd1/www/no.67808.cn/vendor/topthink/think-template/src/template/driver/File.php ( 2.41 KB )
      138. /yingpanguazai/ssd/ssd1/www/no.67808.cn/vendor/topthink/think-template/src/template/contract/DriverInterface.php ( 0.86 KB )
      139. /yingpanguazai/ssd/ssd1/www/no.67808.cn/runtime/temp/6df755f970a38e704c5414acbc6e8bcd.php ( 12.06 KB )
      140. /yingpanguazai/ssd/ssd1/www/no.67808.cn/vendor/topthink/think-trace/src/Html.php ( 4.42 KB )
      1. CONNECT:[ UseTime:0.000598s ] mysql:host=127.0.0.1;port=3306;dbname=no_67808;charset=utf8mb4
      2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000764s ]
      3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000856s ]
      4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000454s ]
      5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000843s ]
      6. SELECT * FROM `set` [ RunTime:0.001906s ]
      7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000995s ]
      8. SELECT * FROM `article` WHERE `id` = 460925 LIMIT 1 [ RunTime:0.004068s ]
      9. UPDATE `article` SET `lasttime` = 1771095602 WHERE `id` = 460925 [ RunTime:0.006746s ]
      10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.001378s ]
      11. SELECT * FROM `article` WHERE `id` < 460925 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.002461s ]
      12. SELECT * FROM `article` WHERE `id` > 460925 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000560s ]
      13. SELECT * FROM `article` WHERE `id` < 460925 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.003092s ]
      14. SELECT * FROM `article` WHERE `id` < 460925 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.006763s ]
      15. SELECT * FROM `article` WHERE `id` < 460925 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.011126s ]
      0.223671s