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每周一讲|以“码”为笔,用Python灵动绘制函数图像

  • 2026-06-28 23:59:06
每周一讲|以“码”为笔,用Python灵动绘制函数图像

以“码”为笔,用Python灵动绘制函数图像

按2026年4月17日,丁玉海名师工作室编程项目组的张春英老师,通过线上直播平台CCTALK,为大家带来了一场编程与数学深度融合的直播课--《“码”绘函数:以“码”为笔,灵动编程》,张老师带大家用Python代码轻松绘制函数图像,解锁学科融合新方式。让代码变身“数学画笔”,轻松画出平滑、精准的函数曲线!

1.情境导入,激发兴趣

张老师以生活现象开启课堂:手机声波、心电图、钟摆轨迹、电流曲线.....这些起伏变化背后,都是函数图像在“说话”。对比传统表格制图与Python绘图,直观展现代码绘图更平滑、更高效、更精准的优势,瞬间点燃师生学习热情。

2.讲解清晰,深入浅出

张老师用清晰逻辑梳理编程思路:启动程序-导入库-生成数据-计算函数值-绘图展示。详解两大核心库:numpy负责数据生成与数学计算,Matplib负责专业绘图。用通俗语言讲解np.arange()生成连续坐标、np.sin()计算函数值、plt.plot()绘制曲线。拆解数学表达式与代码对应关系:np.pi对应π,2*np.pi对应2π,零基础也能听懂。

3. 任务拆解与实操示范

张老师将函数绘图拆解为4步,边讲边练、实时运行:导入库:加载numpy与 matplotlib.pyplot 并设置别名,生成x用np.arange(0,2*np.pi,0.01)生成 0-2π连续点,计算y:通过函数公式算出对应y值,绘制展示:plt.plot(x,y)连线,plt.show()展示图像全程使用python编译环境,代码简洁、效果直观,师生跟着就能做出成品。

4. 拓展思考与优化建议

课程最后,张老师引导拓展提升:优化方向:添加标题、坐标轴标签、图例、颜色区分多条曲线,延伸玩法:尝试绘制余弦函数、一次函数、二次函数等等。

                                  

1.Python官网:https://www.python.org
2.编程工具:海龟编辑器
3.书籍推荐:《Python 编程:从入门到实践》

4.库安装:清华镜像源,快速安装 numpy、matplotlib

                                  

本次直播打通Python编程+数学函数,让抽象知识变直观,既练逻辑思维,又深化学科理解。张老师强调,编程学习的核心是理清思路、拆解任务,函数绘图正是学科融合的最佳实践。

未来,丁玉海名师工作室编程项目组将持续推出更多融合课程,以代码为笔、以思维为翼,带更多师生走进编程与学科融合的精彩世界!

https://www.cctalk.con/v/17763319242055?xh_preshareid=9b39a6de-55ce-4dab-85de-

15d53b9907af&xh_fshareuid=179427577&channel=copy&platform=pc

                                          文稿:张春英                                       

                                          编辑:吴金红

                                          审核:丁玉海

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  1. CONNECT:[ UseTime:0.001255s ] mysql:host=127.0.0.1;port=3306;dbname=f_mffb;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001554s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000805s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000654s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001351s ]
  6. SELECT * FROM `set` [ RunTime:0.000550s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.001557s ]
  8. SELECT * FROM `article` WHERE `id` = 487741 LIMIT 1 [ RunTime:0.001617s ]
  9. UPDATE `article` SET `lasttime` = 1783128941 WHERE `id` = 487741 [ RunTime:0.017278s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.006310s ]
  11. SELECT * FROM `article` WHERE `id` < 487741 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.001445s ]
  12. SELECT * FROM `article` WHERE `id` > 487741 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.003930s ]
  13. SELECT * FROM `article` WHERE `id` < 487741 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.002925s ]
  14. SELECT * FROM `article` WHERE `id` < 487741 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.002324s ]
  15. SELECT * FROM `article` WHERE `id` < 487741 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.005805s ]
0.178622s