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<!DOCTYPE HTML>
<html lang="zh-CN">
<head>
<!-- hexo-inject:begin --><!-- hexo-inject:end --><meta charset="utf-8">
<meta name="keywords" content="cyrxdzj blog">
<meta name="description" content="">
<meta http-equiv="X-UA-Compatible" content="IE=edge">
<meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=no">
<meta name="renderer" content="webkit|ie-stand|ie-comp">
<meta name="mobile-web-app-capable" content="yes">
<meta name="format-detection" content="telephone=no">
<meta name="apple-mobile-web-app-capable" content="yes">
<meta name="apple-mobile-web-app-status-bar-style" content="black-translucent">
<!-- Global site tag (gtag.js) - Google Analytics -->
<title>cyrxdzj blog</title>
<link rel="icon" type="image/png" href="/medias/logo.png">
<link rel="stylesheet" type="text/css" href="/libs/awesome/css/all.css">
<link rel="stylesheet" type="text/css" href="/libs/materialize/materialize.min.css">
<link rel="stylesheet" type="text/css" href="/libs/aos/aos.css">
<link rel="stylesheet" type="text/css" href="/libs/animate/animate.min.css">
<link rel="stylesheet" type="text/css" href="/libs/lightGallery/css/lightgallery.min.css">
<link rel="stylesheet" type="text/css" href="/css/matery.css">
<link rel="stylesheet" type="text/css" href="/css/my.css">
<script src="/libs/jquery/jquery.min.js"></script>
<!-- hexo injector head_end start -->
<link rel="stylesheet" href="/css/katex.min.css">
<link rel="stylesheet" href="/css/hexo-math-style.css">
<meta name="baidu-site-verification" content="codeva-Q5i8Ekz8Z2" /><!-- hexo injector head_end end --><meta name="generator" content="Hexo 5.4.2"><link rel="alternate" href="/atom.xml" title="cyrxdzj blog" type="application/atom+xml"><!-- hexo-inject:begin --><!-- hexo-inject:end -->
</head>
<style>
body{
background-image: url(https://cyrxdzj-cors-anywhere.cyrxdzj.eu.org/?https://storage.sekai.best/sekai-assets/scenario/background/bg_a000005_rip/bg_a000005.webp);
background-repeat:no-repeat;
background-size:cover;
background-attachment:fixed;
}
</style>
<body>
<!-- hexo-inject:begin --><!-- hexo-inject:end --><header class="navbar-fixed">
<nav id="headNav" class="bg-color nav-transparent">
<div id="navContainer" class="nav-wrapper container">
<div class="brand-logo">
<a href="/" class="waves-effect waves-light">
<img src="/medias/logo-raw.png" class="logo-img" alt="LOGO">
<span class="logo-span">cyrxdzj blog</span>
</a>
</div>
<a href="#" data-target="mobile-nav" class="sidenav-trigger button-collapse"><i class="fas fa-bars"></i></a>
<ul class="right nav-menu">
<li class="hide-on-med-and-down nav-item">
<a href="/" class="waves-effect waves-light">
<i class="fas fa-home" style="zoom: 0.6;"></i>
<span>首页</span>
</a>
</li>
<li class="hide-on-med-and-down nav-item">
<a href="/tags" class="waves-effect waves-light">
<i class="fas fa-tags" style="zoom: 0.6;"></i>
<span>标签</span>
</a>
</li>
<li class="hide-on-med-and-down nav-item">
<a href="/categories" class="waves-effect waves-light">
<i class="fas fa-bookmark" style="zoom: 0.6;"></i>
<span>分类</span>
</a>
</li>
<li class="hide-on-med-and-down nav-item">
<a href="/archives" class="waves-effect waves-light">
<i class="fas fa-archive" style="zoom: 0.6;"></i>
<span>归档</span>
</a>
</li>
<li class="hide-on-med-and-down nav-item">
<a href="/about" class="waves-effect waves-light">
<i class="fas fa-user-circle" style="zoom: 0.6;"></i>
<span>关于</span>
</a>
</li>
<li class="hide-on-med-and-down nav-item">
<a href="/friends" class="waves-effect waves-light">
<i class="fas fa-address-book" style="zoom: 0.6;"></i>
<span>友情链接</span>
</a>
</li>
<li>
<a href="#searchModal" class="modal-trigger waves-effect waves-light">
<i id="searchIcon" class="fas fa-search" title="搜索" style="zoom: 0.85;"></i>
</a>
</li>
</ul>
<div id="mobile-nav" class="side-nav sidenav">
<div class="mobile-head bg-color">
<img src="/medias/logo-raw.png" class="logo-img circle responsive-img">
<div class="logo-name">cyrxdzj blog</div>
<div class="logo-desc">
Never really desperate, only the lost of the soul.
</div>
</div>
<ul class="menu-list mobile-menu-list">
<li class="m-nav-item">
<a href="/" class="waves-effect waves-light">
<i class="fa-fw fas fa-home"></i>
首页
</a>
</li>
<li class="m-nav-item">
<a href="/tags" class="waves-effect waves-light">
<i class="fa-fw fas fa-tags"></i>
标签
</a>
</li>
<li class="m-nav-item">
<a href="/categories" class="waves-effect waves-light">
<i class="fa-fw fas fa-bookmark"></i>
分类
</a>
</li>
<li class="m-nav-item">
<a href="/archives" class="waves-effect waves-light">
<i class="fa-fw fas fa-archive"></i>
归档
</a>
</li>
<li class="m-nav-item">
<a href="/about" class="waves-effect waves-light">
<i class="fa-fw fas fa-user-circle"></i>
关于
</a>
</li>
<li class="m-nav-item">
<a href="/friends" class="waves-effect waves-light">
<i class="fa-fw fas fa-address-book"></i>
友情链接
</a>
</li>
<li><div class="divider"></div></li>
<li>
<a href="https://github.com/cyrxdzj/cyrxdzj.github.io" class="waves-effect waves-light" target="_blank">
<i class="fab fa-github-square fa-fw"></i>Fork Me
</a>
</li>
</ul>
</div>
</div>
<style>
.nav-transparent .github-corner {
display: none !important;
}
.github-corner {
position: absolute;
z-index: 10;
top: 0;
right: 0;
border: 0;
transform: scale(1.1);
}
.github-corner svg {
color: #0f9d58;
fill: #fff;
height: 64px;
width: 64px;
}
.github-corner:hover .octo-arm {
animation: a 0.56s ease-in-out;
}
.github-corner .octo-arm {
animation: none;
}
@keyframes a {
0%,
to {
transform: rotate(0);
}
20%,
60% {
transform: rotate(-25deg);
}
40%,
80% {
transform: rotate(10deg);
}
}
</style>
<a href="https://github.com/cyrxdzj/cyrxdzj.github.io" class="github-corner tooltipped hide-on-med-and-down" target="_blank"
data-tooltip="Fork Me" data-position="left" data-delay="50">
<svg viewBox="0 0 250 250" aria-hidden="true">
<path d="M0,0 L115,115 L130,115 L142,142 L250,250 L250,0 Z"></path>
<path d="M128.3,109.0 C113.8,99.7 119.0,89.6 119.0,89.6 C122.0,82.7 120.5,78.6 120.5,78.6 C119.2,72.0 123.4,76.3 123.4,76.3 C127.3,80.9 125.5,87.3 125.5,87.3 C122.9,97.6 130.6,101.9 134.4,103.2"
fill="currentColor" style="transform-origin: 130px 106px;" class="octo-arm"></path>
<path d="M115.0,115.0 C114.9,115.1 118.7,116.5 119.8,115.4 L133.7,101.6 C136.9,99.2 139.9,98.4 142.2,98.6 C133.8,88.0 127.5,74.4 143.8,58.0 C148.5,53.4 154.0,51.2 159.7,51.0 C160.3,49.4 163.2,43.6 171.4,40.1 C171.4,40.1 176.1,42.5 178.8,56.2 C183.1,58.6 187.2,61.8 190.9,65.4 C194.5,69.0 197.7,73.2 200.1,77.6 C213.8,80.2 216.3,84.9 216.3,84.9 C212.7,93.1 206.9,96.0 205.4,96.6 C205.1,102.4 203.0,107.8 198.3,112.5 C181.9,128.9 168.3,122.5 157.7,114.1 C157.9,116.9 156.7,120.9 152.7,124.9 L141.0,136.5 C139.8,137.7 141.6,141.9 141.8,141.8 Z"
fill="currentColor" class="octo-body"></path>
</svg>
</a>
</nav>
</header>
<style>
.carousel-control {
width: 45px;
height: 45px;
line-height: 55px;
border-radius: 45px;
background: transparent;
cursor: pointer;
z-index: 100;
}
#prev-cover {
position: absolute;
top: 48%;
left: 8px;
}
#next-cover {
position: absolute;
top: 48%;
right: 8px;;
}
#prev-cover i {
margin-right: 3px;
}
#next-cover i {
margin-left: 3px;
}
.carousel-control:hover {
background-color: rgba(0, 0, 0, .4);
}
.carousel-control i {
color: #fff;
font-size: 2.4rem;
}
</style>
<div class="carousel carousel-slider center index-cover" data-indicators="true" style="margin-top: -64px;">
<div class="carousel-item red white-text bg-cover about-cover">
<div class="container">
<div class="row">
<div class="col s10 offset-s1 m8 offset-m2 l8 offset-l2">
<div class="brand">
<div class="title center-align">
以代码为笔，绘美好画卷。
</div>
<div class="description center-align">
<span id="subtitle"></span>
<script src="/js/typed.js"></script>
<script>
var typed = new Typed("#subtitle", {
strings: ['以代码为笔，绘美好画卷。','With code as pen, draw beautiful pictures.'],
startDelay: 300,
typeSpeed: 100,
loop: true,
backSpeed: 200,
showCursor: true
});
</script>
</div>
</div>
</div>
</div>
<script>
$('.bg-cover').css('background-image', 'url(/medias/banner/0.jpg)');
</script>
<div class="cover-btns">
<a href="#articles" class="waves-effect waves-light btn">
<i class="fa fa-angle-double-down"></i>开始阅读
</a>
<a href="https://github.com/cyrxdzj/cyrxdzj.github.io" class="waves-effect waves-light btn" target="_blank">
<i class="fab fa-github"></i>Github
</a>
</div>
<div class="cover-social-link">
<a href="https://github.com/cyrxdzj" class="tooltipped" target="_blank" data-tooltip="访问我的GitHub" data-position="top" data-delay="50">
<i class="fab fa-github"></i>
</a>
<a href="mailto:[email protected]" class="tooltipped" target="_blank" data-tooltip="邮件联系我" data-position="top" data-delay="50">
<i class="fas fa-envelope-open"></i>
</a>
<a href="tencent://AddContact/?fromId=50&fromSubId=1&subcmd=all&uin=2824671438" class="tooltipped" target="_blank" data-tooltip="QQ联系我: 2824671438" data-position="top" data-delay="50">
<i class="fab fa-qq"></i>
</a>
<a href="/atom.xml" class="tooltipped" target="_blank" data-tooltip="RSS 订阅" data-position="top" data-delay="50">
<i class="fas fa-rss"></i>
</a>
</div>
</div>
</div>
</div>
<script>
$(function () {
let coverSlider = $('.carousel');
//用户触摸轮播自动 restartPlay 是否生效
let initUserPressedOrDraggedActive = false
//用户触摸轮播自动 restartPlay
function initUserPressedOrDragged(instance) {
setInterval(() => {
if (instance.pressed || instance.dragged) {
// console.log('initUserPressedOrDragged: ',instance.pressed,instance.dragged)
restartPlay()
}
}, 1000)
}
coverSlider.carousel({
duration: Number('120'),
fullWidth: true,
indicators: 'true' === 'true',
onCycleTo() {
if (!initUserPressedOrDraggedActive) {
// console.log('initUserPressedOrDraggedActive')
initUserPressedOrDragged(this)
initUserPressedOrDraggedActive = true
}
},
})
let carouselIntervalId;
// Loop to call the next cover article picture.
let autoCarousel = function () {
carouselIntervalId = setInterval(function () {
coverSlider.carousel('next');
}, 5000);
};
autoCarousel();
function restartPlay() {
clearInterval(carouselIntervalId);
autoCarousel();
};
// prev and next cover post.
$('#prev-cover').click(function () {
coverSlider.carousel('prev');
restartPlay();
});
$('#next-cover').click(function () {
coverSlider.carousel('next');
restartPlay();
});
});
</script>
<main class="content">
<div id="indexCard" class="index-card">
<div class="container ">
<div class="card">
<div class="card-content">
<div class="dream">
<div class="title center-align">
<i class="far fa-lightbulb"></i> 我的梦想
</div>
<div class="row">
<div class="col l8 offset-l2 m10 offset-m1 s10 offset-s1 center-align text">
以代码为笔，绘美好画卷。
</div>
</div>
</div>
<div id="recommend-sections" class="recommend">
<div class="title"><i class="far fa-thumbs-up"></i> 推荐文章</div>
<div class="row">
<div class="col s12 m6" >
<div class="post-card" style="background-image: url('/medias/feature_image_pjsk/002_014_card_normal.webp')">
<div class="post-body">
<div class="post-categories">
<a href="/categories/cyrxdzj%E7%9A%84%E6%96%87%E5%8C%96%E8%AF%BE%E5%AD%A6%E4%B9%A0%E7%AC%94%E8%AE%B0/" class="category">cyrxdzj的文化课学习笔记</a>
</div>
<a href="/2023-09-22-CyrxNoteIndex/">
<h3 class="post-title">cyrxdzj的文化课学习笔记 目录</h3>
</a>
<p class="post-description">
此为《cyrxdzj的文化课学习笔记》的目录。您可以在这里寻找您需要的文章。
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<span class="card-title">cyrxdzj的文化课学习笔记 数学008 废话满篇：浅谈怎么运用灵活的思维做一道数学题</span>
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这篇文章将讲解，我在做一道数学题时运用的思维。
可能有点难懂，不过后文将附上例子详细说明。
可能废话很多，毕竟这种文章我也不太会怎么写……
可能没什么作用，额，毕竟思维这种东西不太会教，我自己数学也不敢说很好……
从条件思考题干大概分两种，
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cyrxdzj的文化课学习笔记
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有些时候我们需要解“某一元二次函数有？个不同的实数解”的问题。
需要注意，此问题对一元二次函数的开口方向有要求。以下内容一般默认开口向上。
1、要求在某个区间中有不同的两个实数解例如，$f(x)=x^2+mx+(m+3)$ 是一个一元二次函
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<i class="far fa-clock fa-fw icon-date"></i>2023-11-22
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1、前置知识：各种公式这些公式能让你更容易地计算式子。
以下所有公式，均有 $a>0,a\neq1$。
1-1、指数篇$a^b\times a^c=a^{b+c}$
$a^b\div a^c=a^{b-c}$
$a^{b\times
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1、根据函数的奇偶性求值已知函数 $f(x)=\frac{x+b}{ax^2+1}$，这是定义在 $\begin{bmatrix}-1,1\end{bmatrix}$ 上的奇函数，且 $f(1)=\frac{1}{2}$，求 $a,b$ 的
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本文含有较多图片，单击可以放大。
1、变速运动下，根据 v-t 图象计算位移如图是一个 v-t 图象。
其中红色的线条是物体 A 的运动速度图象，绿色的线条是物体 B 的运动速度图象，两个物体均在做直线运动，长度单位均为 $m$，时间单位
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本文含有较多图片，单击可以放大。
1、思维杂题这些思维杂题，用于更好地巩固函数的定义。
已知 $A=B=${$0,1,2,3$}，则 $f:A\rightarrow B$ 有多少种值域？
可以发现，值域一定是集合 $B$ 的子集（对是子集即
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本文含有较多图片，在网页中观看时，单击可以放大。
1、基础：一元二次不等式的基本解法一元二次不等式的左边是一个一元二次函数，中间是一个不等号，右边一般为 $0$。如果不是，则考虑移项。
例题：$(x+5)(3-2x)\ge6$。
首先，将左
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$\require{color}$
这玩意把人绕晕了都。
1、是否为氧化还原反应的判定
置换反应一定是，因为那个单质一定在反应过程中发生了化合价变化；
复分解反应一定不是，因为复分解反应中不会有化合价变化（这是初中知识）（此条存疑，详见百
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1、前置知识：子集与真子集在开始之前，我们先定义两个集合 $A$ 和 $B$ 和两个条件 $p:x\subseteq A$ 和 $q:x\subseteq B$。这两个条件并不会让下面的解释变得更通俗易懂，但是出题人似乎很喜欢考。
当集合
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