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class="menus_item"><a class="site-page" href="javascript:void(0);"><span> 文章</span></a><ul class="menus_item_child"><li><a class="site-page child faa-parent animated-hover" href="/archives/"><i class="anzhiyufont anzhiyu-icon-box-archive faa-tada" style="font-size: 0.9em;"></i><span> 隧道</span></a></li><li><a class="site-page child faa-parent animated-hover" href="/categories/"><i class="anzhiyufont anzhiyu-icon-shapes faa-tada" style="font-size: 0.9em;"></i><span> 分类</span></a></li><li><a class="site-page child faa-parent animated-hover" href="/tags/"><i class="anzhiyufont anzhiyu-icon-tags faa-tada" style="font-size: 0.9em;"></i><span> 标签</span></a></li><li><a class="site-page child faa-parent animated-hover" href="/%E7%BB%9F%E8%AE%A1/"><i class="anzhiyufont anzhiyu-icon-artstation faa-tada" style="font-size: 0.9em;"></i><span> 统计</span></a></li></ul></div><div class="menus_item"><a class="site-page" href="javascript:void(0);"><span> 友链</span></a><ul class="menus_item_child"><li><a 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正文怎样得到一个面积最大的图形？题目
一根长40cm的绳子，如果围成封闭图形，假如是直边图形，图形面积最大是多少？如果是曲边图形，图形面积最大是多少？
研究过程
周长相等的情况下。如果要围成面积最大的直边图形，首先可以确定，正n边形的面积大于其他n边形的面积。直边图形有很多，我按照边数从少到多的顺序依次求图形的面积。
首先，我求了周长 $40cm$ 的正方形的面积，按照公式 $S = a²$ ，$(\frac{40}{4}) \times (\frac{40}{4})=100(cm²)$
我又求了正五边形的面积。我从正五边形的中心点到它的每个顶点分割，把它分成5个完全相等的等腰三角形。我又把每个这样的三角形从它的底边中点作线段到正五边形中心点，再次分割，把每个三角形又分割成2个小三角形，一共有10个这样的小三角形，小三角形的底边长为 $ \frac{40}{10}=4(cm)$ 。因为正五边形中心点是一个度 ...</div></div></div><div class="recent-post-item" onclick="pjax.loadUrl('/2022/11/10/3-4-5-%E6%A5%BC%E6%A2%AF%E6%82%96%E8%AE%BA/')"><div class="article-meta__categories__box"><a class="article-meta__categories" href="/categories/%E6%95%B0%E5%AD%A6/">数学</a><a class="unvisited-post" href="/2022/11/10/3-4-5-%E6%A5%BC%E6%A2%AF%E6%82%96%E8%AE%BA/" title="3+4=5?————楼梯悖论" style="
">未读</a></div><div class="post_cover left"><a href="/2022/11/10/3-4-5-%E6%A5%BC%E6%A2%AF%E6%82%96%E8%AE%BA/" title="3+4=5?————楼梯悖论" style="display: flex;height: 100%;"><img class="post_bg" src= "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" onerror="this.onerror=null,this.src="/img/404.jpg"" data-lazy-src="https://z1.ax1x.com/2023/11/11/pi8OBRg.jpg" onerror="this.onerror=null;this.src='/img/404.jpg'" alt="3+4=5?————楼梯悖论" style="pointer-events: none"></a></div><div class="recent-post-info"><a class="article-title" href="/2022/11/10/3-4-5-%E6%A5%BC%E6%A2%AF%E6%82%96%E8%AE%BA/" title="3+4=5?————楼梯悖论">3+4=5?————楼梯悖论</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="anzhiyufont anzhiyu-icon-calendar-days" style="font-size: 15px; display:none"></i><span class="article-meta-label">Created</span><time datetime="2022-11-10T04:19:56.000Z" title="Created 2022-11-10 12:19:56">2022-11-10</time></span><span class="article-meta tags"><a class="article-meta__tags" href="/tags/%E6%A5%BC%E6%A2%AF%E6%82%96%E8%AE%BA/" tabindex="-1"><span> <i class="anzhiyufont anzhiyu-icon-hashtag"></i>楼梯悖论</span></a><a class="article-meta__tags" href="/tags/%E6%95%B0%E5%AD%A6/" tabindex="-1"><span> <i class="anzhiyufont anzhiyu-icon-hashtag"></i>数学</span></a></span></div><div class="content">啥是楼梯悖论楼梯悖论现在有一个 3x4 的楼梯要算蓝色部分和红色部分长度的总和，则红色部分为 4 ，蓝色部分为 3 ，总和为 7 。现在将这个楼梯增加到 n 阶，算法不变，结果仍然为 7 。
问题当 n 无限趋近正无穷时，这些台阶的长度总和仍是 7 。可是，这时台阶已经趋近于一条直线，根据勾股定理 $c=\sqrt{a^2+b^2}$，得出 $c=5$。可是有误差可以理解，但 5 和 7的误差也太大了吧？怎么回事？
解决我们要计算斜边可以这样算：假设有 n 阶台阶，斜边为：$n\times \sqrt{(\frac{3}{n})^2\times (\frac{4}{n})^2}=5$也就是说，不管有多少台阶，斜边永远是 5 。
很多人都觉得，这是因为折线和直线之间存在误差。但如果仅仅认识到这一步，总感觉这个问题不能得到很好的解释。比如，在用任意曲线积分求面积时，可以用无穷多的细矩形进行代替，但二者之间也是存在误差的。那为什么积分求面积就成立，而楼梯悖论就不对呢？
问题就在于无限个小误差累积起来会不会变成一个大误差。简单来说，积分求面积时的误差是两个无穷 ...</div></div></div><div class="recent-post-item" onclick="pjax.loadUrl('/2022/11/10/%E3%80%90%E5%BC%80%E5%8F%91%E6%97%A5%E5%BF%97%E3%80%91-%201%20DU/')"><div class="article-meta__categories__box"><a class="article-meta__categories" href="/categories/%E5%BC%80%E5%8F%91/">开发</a><a class="unvisited-post" href="/2022/11/10/%E3%80%90%E5%BC%80%E5%8F%91%E6%97%A5%E5%BF%97%E3%80%91-%201%20DU/" title="【开发日志】 - 1 DU" style="
">未读</a></div><div class="post_cover left"><a href="/2022/11/10/%E3%80%90%E5%BC%80%E5%8F%91%E6%97%A5%E5%BF%97%E3%80%91-%201%20DU/" title="【开发日志】 - 1 DU" style="display: flex;height: 100%;"><img class="post_bg" src= "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" onerror="this.onerror=null,this.src="/img/404.jpg"" data-lazy-src="https://z1.ax1x.com/2023/11/11/pi8OaIf.png" onerror="this.onerror=null;this.src='/img/404.jpg'" alt="【开发日志】 - 1 DU" style="pointer-events: none"></a></div><div class="recent-post-info"><a class="article-title" href="/2022/11/10/%E3%80%90%E5%BC%80%E5%8F%91%E6%97%A5%E5%BF%97%E3%80%91-%201%20DU/" title="【开发日志】 - 1 DU">【开发日志】 - 1 DU</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="anzhiyufont anzhiyu-icon-calendar-days" style="font-size: 15px; display:none"></i><span class="article-meta-label">Created</span><time datetime="2022-11-10T04:19:56.000Z" title="Created 2022-11-10 12:19:56">2022-11-10</time></span><span class="article-meta tags"><a class="article-meta__tags" href="/tags/%E5%BC%80%E5%8F%91%E6%97%A5%E5%BF%97/" tabindex="-1"><span> <i class="anzhiyufont anzhiyu-icon-hashtag"></i>开发日志</span></a><a class="article-meta__tags" href="/tags/Developers-Union/" tabindex="-1"><span> <i class="anzhiyufont anzhiyu-icon-hashtag"></i>Developers Union</span></a></span></div><div class="content">DU 是什么？DU(Developers Union, 开发者联盟)，是一个旨在激发青少年进行程序设计兴趣的非盈利性组织，由 Mdr 于2022年成立。
DU 的项目DU 的项目主要是 DU 官网的开发。(https://deversunion.com)
开发日志前端
实现了基本的网站主页，可以展示个人团队信息，活动、比赛、博客等信息，实现了动态页脚。
实现了个人主页。展示 ID、团队、个性签名、年龄、贡献指数(类github)、博客、头像等信息。
实现了登陆注册，可以和后端交互。
后端
实现了登陆注册，可以正常与前端交互，完成注册、发送验证邮件、登录等操作步骤。
实现了上传博客，上传md文件，保存信息到数据库并解析(未做解析)
实现了删除博客
TODO
后端与前端交互完成个人主页。
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onerror="this.onerror=null;this.src='/img/friend_404.gif'" alt="avatar"/><div class="author-status"><img class="g-status" src= "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" onerror="this.onerror=null,this.src="/img/404.jpg"" data-lazy-src="https://bu.dusays.com/2023/08/24/64e6ce9c507bb.png" ait="status"/></div></div><div class="author-info__description"><div style="line-height:1.38;margin:0.6rem 0;text-align:justify;color:rgba(255, 255, 255, 0.8);">这有关于<b style="color:#fff">产品、设计、开发</b>相关的问题和看法，还有<b style="color:#fff">文章翻译</b>和<b style="color:#fff">分享</b>。</div><div style="line-height:1.38;margin:0.6rem 0;text-align:justify;color:rgba(255, 255, 255, 0.8);">相信你可以在这里找到对你有用的<b style="color:#fff">知识</b>和<b style="color:#fff">教程</b>。</div></div><div class="author-info__bottom-group"><a class="author-info__bottom-group-left" href="/"><h1 class="author-info__name">Yang Roy</h1><div class="author-info__desc"></div></a><div class="card-info-social-icons is-center"><a class="social-icon faa-parent animated-hover" href="https://github.com/imimbert" target="_blank" title="Github"><i class="anzhiyufont anzhiyu-icon-github"></i></a><a class="social-icon faa-parent animated-hover" href="https://space.bilibili.com/3493103996505004" target="_blank" title="BiliBili"><i class="anzhiyufont anzhiyu-icon-bilibili"></i></a></div></div></div></div><div class="card-widget card-announcement"><div class="item-headline"><i class="anzhiyufont anzhiyu-icon-bullhorn anzhiyu-shake"></i><span>Announcement</span></div><div class="announcement_content">欢迎来看我的博客鸭~</div><div id="welcome-info"></div></div><div class="sticky_layout"><div class="card-widget"><div class="card-tags"><div class="item-headline"></div><div class="card-tag-cloud"><a href="/tags/Developers-Union/" style="font-size: 1.05rem;">Developers Union<sup>1</sup></a><a href="/tags/%E5%88%9D%E4%B8%AD/" style="font-size: 1.05rem;">初中<sup>1</sup></a><a href="/tags/%E5%BC%80%E5%8F%91%E6%97%A5%E5%BF%97/" style="font-size: 1.05rem;">开发日志<sup>1</sup></a><a href="/tags/%E6%95%B0%E5%AD%A6/" style="font-size: 1.05rem;">数学<sup>2</sup></a><a href="/tags/%E6%A5%BC%E6%A2%AF%E6%82%96%E8%AE%BA/" style="font-size: 1.05rem;">楼梯悖论<sup>1</sup></a><a href="/tags/%E9%9D%A2%E7%A7%AF%E6%9C%80%E5%A4%A7%E9%97%AE%E9%A2%98/" style="font-size: 1.05rem;">面积最大问题<sup>1</sup></a></div></div><hr/><div class="card-archives"><div class="item-headline"><i class="anzhiyufont anzhiyu-icon-archive"></i><span>Archives</span></div><ul class="card-archive-list"><li class="card-archive-list-item"><a class="card-archive-list-link" href="/archives/2023/11/"><span class="card-archive-list-date">November 2023</span><div class="card-archive-list-count-group"><span class="card-archive-list-count">1</span><span>篇</span></div></a></li><li class="card-archive-list-item"><a class="card-archive-list-link" href="/archives/2022/11/"><span class="card-archive-list-date">November 2022</span><div class="card-archive-list-count-group"><span class="card-archive-list-count">2</span><span>篇</span></div></a></li></ul></div><hr/><div class="card-webinfo"><div class="item-headline"><i class="anzhiyufont anzhiyu-icon-chart-line"></i><span>Info</span></div><div class="webinfo"><div class="webinfo-item"><div class="webinfo-item-title"><i class="anzhiyufont anzhiyu-icon-file-lines"></i><div class="item-name">Article :</div></div><div class="item-count">3</div></div><div class="webinfo-item"><div class="webinfo-item-title"><i class="anzhiyufont anzhiyu-icon-stopwatch"></i><div class="item-name">Run time :</div></div><div class="item-count" id="runtimeshow" data-publishDate="2021-03-31T16:00:00.000Z"><i class="anzhiyufont anzhiyu-icon-spinner anzhiyu-spin"></i></div></div></div></div></div></div></div></div></main><footer id="footer"><div id="footer-wrap"><div id="footer_deal"><a class="deal_link" href="mailto:69507devs@gmail.com" title="email"><i class="anzhiyufont 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