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cyrxdzj committed Oct 15, 2023
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6 changes: 3 additions & 3 deletions 2021-07-02-LuoguMonthlyCompetition202105Summary/index.html
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<script src="/libs/jquery/jquery.min.js"></script>

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Expand Down Expand Up @@ -1065,7 +1065,7 @@ <h3 id="六、后记"><a href="#六、后记" class="headerlink" title="六、
<br>

&nbsp;<i class="fas fa-chart-area"></i>&nbsp;站点总字数:&nbsp;<span
class="white-color">15.6k</span>&nbsp;字
class="white-color">16.6k</span>&nbsp;字



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6 changes: 3 additions & 3 deletions 2021-07-07-HowToUseLuoguCard/index.html
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<script src="/libs/jquery/jquery.min.js"></script>

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<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.css">
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<br>

&nbsp;<i class="fas fa-chart-area"></i>&nbsp;站点总字数:&nbsp;<span
class="white-color">15.6k</span>&nbsp;字
class="white-color">16.6k</span>&nbsp;字



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6 changes: 3 additions & 3 deletions 2021-07-09-Grade7Term2FinalExamSummary/index.html
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<script src="/libs/jquery/jquery.min.js"></script>

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<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.css">
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Expand Down Expand Up @@ -882,7 +882,7 @@ <h3 id="十、总分与排名"><a href="#十、总分与排名" class="headerlin
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&nbsp;<i class="fas fa-chart-area"></i>&nbsp;站点总字数:&nbsp;<span
class="white-color">15.6k</span>&nbsp;字
class="white-color">16.6k</span>&nbsp;字



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6 changes: 3 additions & 3 deletions 2021-07-09-Grade7Term2MidtermExamSummary/index.html
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<script src="/libs/jquery/jquery.min.js"></script>

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<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.css">
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Expand Down Expand Up @@ -867,7 +867,7 @@ <h3 id="十、后记"><a href="#十、后记" class="headerlink" title="十、
<br>

&nbsp;<i class="fas fa-chart-area"></i>&nbsp;站点总字数:&nbsp;<span
class="white-color">15.6k</span>&nbsp;字
class="white-color">16.6k</span>&nbsp;字



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6 changes: 3 additions & 3 deletions 2021-07-22-LuoguMonthlyCompetition202107Summary/index.html
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<script src="/libs/jquery/jquery.min.js"></script>

<!-- hexo injector head_end start -->
<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.css">
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Expand Down Expand Up @@ -1189,7 +1189,7 @@ <h3 id="五、总分"><a href="#五、总分" class="headerlink" title="五、
<br>

&nbsp;<i class="fas fa-chart-area"></i>&nbsp;站点总字数:&nbsp;<span
class="white-color">15.6k</span>&nbsp;字
class="white-color">16.6k</span>&nbsp;字



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6 changes: 3 additions & 3 deletions 2023-05-21-TalkingAboutComputerSecurityFromTheIntelligentClassromSystem/index.html
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<script src="/libs/jquery/jquery.min.js"></script>

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<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.css">
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Expand Down Expand Up @@ -858,7 +858,7 @@ <h3 id="解决问题的建议"><a href="#解决问题的建议" class="headerlin
<br>

&nbsp;<i class="fas fa-chart-area"></i>&nbsp;站点总字数:&nbsp;<span
class="white-color">15.6k</span>&nbsp;字
class="white-color">16.6k</span>&nbsp;字



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7 changes: 4 additions & 3 deletions 2023-09-22-CyrxNote-Math-001/index.html
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<script src="/libs/jquery/jquery.min.js"></script>

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<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.css">
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Expand Down Expand Up @@ -481,6 +481,7 @@ <h3 id="1、1-的代换法"><a href="#1、1-的代换法" class="headerlink" tit
<p>如果 $\frac{1}{x}+\frac{9}{y}=2\ne1$，那也好办，<strong>可以在整个算式前面乘上一个数使这个算式的值为 $1$。</strong> 对于上面的式子，$\frac{1}{2}\times（\frac{1}{x}+\frac{9}{y})=1$，那么 $x+y=(x+y)[\frac{1}{2}\times(\frac{1}{x}+\frac{9}{y})]=(x+y)(\frac{1}{x}+\frac{9}{y})\times\frac{1}{2}$，求出前面的 $(x+y)(\frac{1}{x}+\frac{9}{y})$ 的最值就搞定了。</p>
<p>再看看这个。若 $x&gt;0,y&gt;0,x+8y=xy$，求 $x+2y$ 的最小值。</p>
<p>可以发现，$(x+8y)\div(xy)=(xy)\div(xy)$，也就是说 $\frac{1}{y}+\frac{8}{x}=1$。又回来了。</p>
<p>有些时候还需要一点转换。比如 $\frac{x+2y}{xy}=\frac{1}{y}+\frac{2}{x}$，这个应该不难理解，就是将分子拆开来分别除以分母即可。</p>
<h3 id="2、配凑法"><a href="#2、配凑法" class="headerlink" title="2、配凑法"></a>2、配凑法</h3><p>积等和最小（当 $a&gt;0,b&gt;0$ 且 $ab$ 为定值时，$a+b$ 的最小值为 $2\sqrt{ab}$），和等积最大（当 $a&gt;0,b&gt;0$ 且 $a+b$ 为定值时，$ab$ 的最大值为 $(\frac{a+b}{2})^2$）。想必一开始学基本不等式时，读者就知道这句话了。</p>
<p>那么，当 $x&gt;\frac{1}{2}$ 时，求 $x+\frac{1}{2x-1}$ 的最小值。</p>
<p>可以发现 $\frac{x}{2x-1}$ 不是定值，不能直接开基本不等式。</p>
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<br>

&nbsp;<i class="fas fa-chart-area"></i>&nbsp;站点总字数:&nbsp;<span
class="white-color">15.6k</span>&nbsp;字
class="white-color">16.6k</span>&nbsp;字



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22 changes: 14 additions & 8 deletions 2023-09-22-CyrxNoteIndex/index.html
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<script src="/libs/jquery/jquery.min.js"></script>

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Expand Down Expand Up @@ -454,7 +454,7 @@ <h1 class="description center-align post-title">cyrxdzj的文化课学习笔记

<div class="info-break-policy">
<i class="far fa-file-word fa-fw"></i>文章字数:&nbsp;&nbsp;
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</div>


Expand Down Expand Up @@ -490,13 +490,13 @@ <h1 class="description center-align post-title">cyrxdzj的文化课学习笔记
<td>数学</td>
<td><a href="/2023-09-22-CyrxNote-Math-001/">cyrxdzj的文化课学习笔记 数学001 基本不等式</a></td>
<td>2023-09-22 21:58:37</td>
<td>2023-10-05 07:36:34</td>
<td>2023-10-14 11:48:34</td>
</tr>
<tr>
<td>数学</td>
<td><a href="/2023-09-23-CyrxNote-Math-002/">cyrxdzj的文化课学习笔记 数学002 集合与条件</a></td>
<td>2023-09-23 22:05:13</td>
<td>2023-10-03 19:27:18</td>
<td>2023-10-15 09:42:54</td>
</tr>
<tr>
<td>数学</td>
Expand All @@ -508,13 +508,19 @@ <h1 class="description center-align post-title">cyrxdzj的文化课学习笔记
<td>数学</td>
<td><a href="/2023-10-09-CyrxNote-Math-004/">cyrxdzj的文化课学习笔记 数学004 函数</a></td>
<td>2023-10-09 07:01:12</td>
<td>2023-10-10 22:10:39</td>
<td>2023-10-11 18:25:36</td>
</tr>
<tr>
<td>物理</td>
<td><a href="/2023-10-12-CyrxNote-Physics-001/">cyrxdzj的文化课学习笔记 物理001 变速运动</a></td>
<td>2023-10-12 07:30:43</td>
<td>2023-10-12 08:05:19</td>
</tr>
<tr>
<td>化学</td>
<td><a href="/2023-09-28-CyrxNote-Chemistry-001/">cyrxdzj的文化课学习笔记 化学001 氧化还原反应</a></td>
<td>2023-09-28 20:25:46</td>
<td>2023-09-28 21:08:06</td>
<td>2023-10-14 06:12:56</td>
</tr>
</tbody>
</table>
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<br>

&nbsp;<i class="fas fa-chart-area"></i>&nbsp;站点总字数:&nbsp;<span
class="white-color">15.6k</span>&nbsp;字
class="white-color">16.6k</span>&nbsp;字



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