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PPT里插入公式(二)

  • 2026-08-25 17:51:04
PPT里插入公式(二)
让公式在PPT里可编辑
01
公式不是一张截图，而应是可检索、可修改、可解释的知识对象。
公式截图带来的隐性问题
02
从PDF或网页截取公式虽然快捷，却会带来模糊、字号不一致、无法修改和变量含义丢失等问题。专业课中的公式还经常需要根据课堂符号体系调整下标、单位和条件。如果公式只是图片，教师只能反复重做。平台把课程公式作为结构化资源读取，并允许以LaTeX或字符形式编辑后插入，让公式保持清晰和可维护。
公式库应与课程体系对应
03
公式不是越多越好。课程公式库应按照章节、知识点和适用条件组织，教师搜索时能看到来源与变量约定。插入课件后，公式仍应与正文、图示和例题使用同一组符号。对混凝土结构等课程，材料强度设计值、截面尺寸和钢筋面积的上下标不能随意替换，否则页面漂亮却破坏了专业一致性。
图1 课程公式库与LaTeX编辑入口
AI可以做公式助教
04
AI适合把自然语言转换为LaTeX、解释每个符号、检查量纲，并生成从一般式到特定条件的推导步骤。教师可以要求AI输出“公式—变量表—适用条件—常见误用”四联内容，再将核对后的公式插入PPT。对于OCR得到的公式，AI还能协助发现上下标错位和希腊字母混淆，但最终仍需以教材、规范或原始论文为准。
课堂上怎样呈现公式
05
不要把完整推导一次性铺满页面。可先呈现物理关系，再逐步加入符号与假设，最后显示计算式。关键变量可用统一颜色与图中尺寸对应，但颜色不能成为唯一线索。教师还可以在备注中保存推导细节，把主页面留给学生需要观察的结构。公式的视觉层次应服务推理，而不是展示排版技巧。
图2 公式全屏编辑便于核对符号与结构
建立可复用的公式资产
06
教研组可以共同维护课程公式库，记录版本、来源和符号约定。AI可以帮助生成检索关键词和初步分类，教师负责审核。经过课堂使用的公式还应关联例题与错误案例。这样，下次制作课件时不再从零输入，而是调用经过验证的知识资产，课程之间也更容易保持一致。
一套可执行的AI协作流程
07
可先让AI依据指定教材整理候选公式，再要求它逐条输出来源、变量定义、量纲、适用条件和反例。教师完成核查后才进入课程公式库。插入PPT时，AI可以根据本页图示生成符号对应表和口头讲解提纲。发布前应再次检查字体、上下标、编号和跨页符号一致性，并用一个人工算例验证公式表达。
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  1. CONNECT:[ UseTime:0.001123s ] mysql:host=127.0.0.1;port=3306;dbname=h_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001679s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000802s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.001321s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001708s ]
  6. SELECT * FROM `set` [ RunTime:0.002675s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.001502s ]
  8. SELECT * FROM `article` WHERE `id` = 550666 LIMIT 1 [ RunTime:0.001860s ]
  9. UPDATE `article` SET `lasttime` = 1787679098 WHERE `id` = 550666 [ RunTime:0.007990s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.000620s ]
  11. SELECT * FROM `article` WHERE `id` < 550666 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.001133s ]
  12. SELECT * FROM `article` WHERE `id` > 550666 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.001017s ]
  13. SELECT * FROM `article` WHERE `id` < 550666 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.018858s ]
  14. SELECT * FROM `article` WHERE `id` < 550666 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.004322s ]
  15. SELECT * FROM `article` WHERE `id` < 550666 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.002738s ]
0.209866s