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<!-- 代码均由ChatGPT生成，如有侵权请联系作者删除
作者：张敬玉
-->
<!DOCTYPE html>
<html lang="zh">
<head>
<meta charset="UTF-8">
<title>数学公式学习导航</title>
<link href="css/bootstrap.min.css" rel="stylesheet">
<script src="/js/favicon-loader.js"></script>
<style>
:root {
--primary-color: #007bff; /* Consistent Blue */
--primary-light: #5dade2; /* Lighter blue for hover/active */
--primary-dark: #0056b3; /* Darker blue for base navbar */
--secondary-color: #6c757d;
--light-bg: #f8f9fa;
--dark-text: #212529;
--text-light: #f8f9fa; /* For text on dark backgrounds */
--card-bg: #ffffff;
--card-border: #dee2e6;
--card-hover-border: var(--primary-color);
--card-shadow: 0 2px 4px rgba(0,0,0,0.075);
--card-hover-shadow: 0 6px 12px rgba(0,0,0,0.1);
--navbar-height: 60px;
}
body {
padding-top: var(--navbar-height);
background-color: var(--light-bg);
font-family: 'Roboto', 'Helvetica Neue', Arial, sans-serif;
color: var(--dark-text);
}
/* ===== Navbar Styling (Consistent Blue Theme) ===== */
.navbar.fixed-top {
background: var(--primary-dark);
box-shadow: 0 2px 5px rgba(0,0,0,0.15);
height: var(--navbar-height);
transition: background 0.3s ease;
}
.navbar.fixed-top:hover {
background: var(--primary-color); /* Slightly lighter blue on hover */
}
.navbar-brand {
font-weight: 500;
letter-spacing: 0.5px;
color: var(--text-light) !important;
font-size: 1.25rem;
}
.navbar-nav .nav-link {
color: rgba(255,255,255,0.85);
transition: color 0.2s ease, background-color 0.2s ease;
padding: 0.5rem 0.8rem;
border-radius: 4px;
font-weight: 500;
}
.navbar-nav .nav-link:hover,
.navbar-nav .nav-link:focus,
.navbar-nav .nav-link.active {
color: var(--text-light);
background-color: rgba(255,255,255,0.2);
}
.navbar-toggler {
border-color: rgba(255,255,255,0.25);
}
.navbar-toggler-icon {
background-image: url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 30 30'%3e%3cpath stroke='rgba%28255, 255, 255, 0.85%29' stroke-linecap='round' stroke-miterlimit='10' stroke-width='2' d='M4 7h22M4 15h22M4 23h22'/%3e%3c/svg%3e");
}
.nav-item.dropdown:hover > .dropdown-menu {
display: block;
margin-top: 0;
animation: fadeInDropdown 0.2s ease-out forwards;
}
.dropdown-menu {
background: var(--card-bg);
border: 1px solid var(--border-color);
box-shadow: 0 5px 15px rgba(0,0,0,0.1);
border-radius: 0 0 6px 6px;
}
.dropdown-item {
color: var(--text-dark);
transition: background 0.2s ease, color 0.2s ease;
padding: 0.5rem 1rem;
}
.dropdown-item:hover,
.dropdown-item:focus {
background: var(--primary-light);
color: var(--text-light);
}
.dropdown-item.active, .dropdown-item:active {
color: #fff;
text-decoration: none;
background-color: var(--primary-color);
}
@keyframes fadeInDropdown {
from { opacity: 0; transform: translateY(-5px); }
to { opacity: 1; transform: translateY(0); }
}
/* ===== Page Content Styling (Existing styles from previous version) ===== */
.big-title {
padding: 1em 0.5em;
background: linear-gradient(135deg, var(--primary-color), #0056b3);
color: #fff;
margin-top: 2.5rem;
margin-bottom: 2em;
border-radius: 12px;
box-shadow: 0 5px 15px rgba(0, 91, 179, 0.3);
text-align: center;
font-weight: 500;
}
.category-card {
background-color: var(--card-bg);
border: 1px solid var(--card-border);
border-radius: 10px;
box-shadow: var(--card-shadow);
transition: transform 0.25s cubic-bezier(0.25, 0.8, 0.25, 1),
box-shadow 0.25s cubic-bezier(0.25, 0.8, 0.25, 1),
border-color 0.25s ease-in-out;
overflow: hidden;
}
.category-card:hover {
transform: translateY(-10px) scale(1.04);
box-shadow: var(--card-hover-shadow);
border-color: var(--card-hover-border);
}
.category-card:active {
transform: translateY(-3px) scale(0.99);
box-shadow: 0 2px 5px rgba(0,0,0,0.08);
}
.category-card .card-body {
color: var(--dark-text);
padding: 1.25rem;
font-weight: 500;
transition: color 0.2s ease-in-out;
}
a.text-decoration-none:hover .category-card .card-body {
color: var(--primary-color);
}
a.text-decoration-none .card-body{
text-align: center;
}
/* Responsive Adjustments */
@media (max-width: 992px) {
.big-title { font-size: 1.6rem; }
}
@media (max-width: 768px) {
body { padding-top: calc(var(--navbar-height) - 5px); }
.big-title { font-size: 1.4rem; padding: 0.8em 0.5em; margin-top: 2rem; margin-bottom: 1.5em; }
.category-card .card-body { font-size: 0.9rem; padding: 1rem; }
}
@media (max-width: 576px) {
.big-title { font-size: 1.25rem; border-radius: 8px; }
.category-card { border-radius: 8px; }
.category-card .card-body { font-size: 0.85rem; padding: 0.75rem; }
.row.gy-3 > [class*="col-"], .row.gy-4 > [class*="col-"] { margin-bottom: 1rem !important; }
.navbar-nav .nav-link { padding: 0.4rem 0.6rem; }
}
</style>
<link href="https://fonts.googleapis.com/css2?family=Roboto:wght@400;500;700&display=swap" rel="stylesheet">
</head>
<body>
<nav class="navbar navbar-expand-lg fixed-top"> <div class="container-fluid">
<a class="navbar-brand" href="#">数学公式库</a>
<button class="navbar-toggler" type="button" data-bs-toggle="collapse"
data-bs-target="#navbarMain" aria-controls="navbarMain"
aria-expanded="false" aria-label="Toggle navigation">
<span class="navbar-toggler-icon"></span>
</button>
<div class="collapse navbar-collapse" id="navbarMain">
<ul class="navbar-nav me-auto mb-2 mb-lg-0">
<li class="nav-item dropdown">
<a class="nav-link dropdown-toggle" href="#" id="menuDataNav1" role="button"
data-bs-toggle="dropdown" aria-expanded="false">初高中衔接</a>
<ul class="dropdown-menu" aria-labelledby="menuDataNav1" id="menuDataDropdown1"></ul>
</li>
<li class="nav-item dropdown">
<a class="nav-link dropdown-toggle" href="#" id="menuDataNav2" role="button"
data-bs-toggle="dropdown" aria-expanded="false">极限与微分</a>
<ul class="dropdown-menu" aria-labelledby="menuDataNav2" id="menuDataDropdown2"></ul>
</li>
<li class="nav-item dropdown">
<a class="nav-link dropdown-toggle" href="#" id="menuDataNav3" role="button"
data-bs-toggle="dropdown" aria-expanded="false">积分学</a>
<ul class="dropdown-menu" aria-labelledby="menuDataNav3" id="menuDataDropdown3"></ul>
</li>
<li class="nav-item dropdown">
<a class="nav-link dropdown-toggle" href="#" id="menuDataNav4" role="button"
data-bs-toggle="dropdown" aria-expanded="false">微分方程与几何</a>
<ul class="dropdown-menu" aria-labelledby="menuDataNav4" id="menuDataDropdown4"></ul>
</li>
<li class="nav-item dropdown">
<a class="nav-link dropdown-toggle" href="#" id="menuDataNav5" role="button"
data-bs-toggle="dropdown" aria-expanded="false">多元与级数</a>
<ul class="dropdown-menu" aria-labelledby="menuDataNav5" id="menuDataDropdown5"></ul>
</li>
<li class="nav-item dropdown">
<a class="nav-link dropdown-toggle" href="#" id="menuDataNav6" role="button"
data-bs-toggle="dropdown" aria-expanded="false">概率与统计</a>
<ul class="dropdown-menu" aria-labelledby="menuDataNav6" id="menuDataDropdown6"></ul>
</li>
</ul>
</div>
</div>
</nav>
<div class="container mt-4 mb-5">
<h3 class="big-title">初高中衔接公式</h3>
<div class="row gy-4">
<div class="col-lg-3 col-md-6 col-sm-6">
<a href="gallery.html?cat=group1&page=1" class="text-decoration-none">
<div class="card category-card"><div class="card-body">二次方程及因式分解</div></div>
</a>
</div>
<div class="col-lg-3 col-md-6 col-sm-6">
<a href="gallery.html?cat=group1&page=2" class="text-decoration-none">
<div class="card category-card"><div class="card-body">指数、对数与数列</div></div>
</a>
</div>
<div class="col-lg-3 col-md-6 col-sm-6">
<a href="gallery.html?cat=group1&page=3" class="text-decoration-none">
<div class="card category-card"><div class="card-body">数列求和及三角函数</div></div>
</a>
</div>
<div class="col-lg-3 col-md-6 col-sm-6">
<a href="gallery.html?cat=group1&page=4" class="text-decoration-none">
<div class="card category-card"><div class="card-body">奇偶函数</div></div>
</a>
</div>
</div>
<h3 class="big-title">极限与微分基础</h3>
<div class="row gy-4">
<div class="col-lg-2 col-md-4 col-sm-6">
<a href="gallery.html?cat=group2&page=5" class="text-decoration-none">
<div class="card category-card"><div class="card-body">等价及基础极限公式</div></div>
</a>
</div>
<div class="col-lg-2 col-md-4 col-sm-6">
<a href="gallery.html?cat=group2&page=6" class="text-decoration-none">
<div class="card category-card"><div class="card-body">导数基础</div></div>
</a>
</div>
<div class="col-lg-2 col-md-4 col-sm-6">
<a href="gallery.html?cat=group2&page=7" class="text-decoration-none">
<div class="card category-card"><div class="card-body">常用导数公式</div></div>
</a>
</div>
<div class="col-lg-3 col-md-6 col-sm-6">
<a href="gallery.html?cat=group2&page=8" class="text-decoration-none">
<div class="card category-card"><div class="card-body">零点定理 & 中值定理</div></div>
</a>
</div>
<div class="col-lg-3 col-md-6 col-sm-6">
<a href="gallery.html?cat=group2&page=9" class="text-decoration-none">
<div class="card category-card"><div class="card-body">不定积分基础</div></div>
</a>
</div>
</div>
<h3 class="big-title">不定积分与定积分</h3>
<div class="row gy-4">
<div class="col-lg-4 col-md-6 col-sm-12">
<a href="gallery.html?cat=group3&page=10" class="text-decoration-none">
<div class="card category-card"><div class="card-body">不定积分公式</div></div>
</a>
</div>
<div class="col-lg-4 col-md-6 col-sm-12">
<a href="gallery.html?cat=group3&page=11" class="text-decoration-none">
<div class="card category-card"><div class="card-body">三角代换及定积分基础</div></div>
</a>
</div>
<div class="col-lg-4 col-md-12 col-sm-12">
<a href="gallery.html?cat=group3&page=12" class="text-decoration-none">
<div class="card category-card"><div class="card-body">变限积分求导 & 牛顿-莱布尼兹公式</div></div>
</a>
</div>
</div>
<h3 class="big-title">微分方程与向量解析几何</h3>
<div class="row gy-4">
<div class="col-lg-4 col-md-6 col-sm-12">
<a href="gallery.html?cat=group4&page=13" class="text-decoration-none">
<div class="card category-card"><div class="card-body">微分方程基础</div></div>
</a>
</div>
<div class="col-lg-4 col-md-6 col-sm-12">
<a href="gallery.html?cat=group4&page=14" class="text-decoration-none">
<div class="card category-card"><div class="card-body">向量积、数量积 & 平面方程</div></div>
</a>
</div>
<div class="col-lg-4 col-md-12 col-sm-12">
<a href="gallery.html?cat=group4&page=15" class="text-decoration-none">
<div class="card category-card"><div class="card-body">空间直线方程</div></div>
</a>
</div>
</div>
<h3 class="big-title">多元微积分与无穷级数</h3>
<div class="row gy-4">
<div class="col-lg-4 col-md-6 col-sm-12">
<a href="gallery.html?cat=group5&page=16" class="text-decoration-none">
<div class="card category-card"><div class="card-body">多元微分基础</div></div>
</a>
</div>
<div class="col-lg-4 col-md-6 col-sm-12">
<a href="gallery.html?cat=group5&page=17" class="text-decoration-none">
<div class="card category-card"><div class="card-body">多元函数极值 & 多元积分</div></div>
</a>
</div>
<div class="col-lg-4 col-md-12 col-sm-12">
<a href="gallery.html?cat=group5&page=18" class="text-decoration-none">
<div class="card category-card"><div class="card-body">无穷级数 & 幂级数展开</div></div>
</a>
</div>
</div>
<h3 class="big-title">概率论与统计基础</h3>
<div class="row gy-4">
<div class="col-lg-4 col-md-6 col-sm-6">
<a href="gallery.html?cat=group6&page=19" class="text-decoration-none">
<div class="card category-card"><div class="card-body">线性代数及概率论公式</div></div>
</a>
</div>
<div class="col-lg-4 col-md-6 col-sm-6">
<a href="gallery.html?cat=group6&page=20" class="text-decoration-none">
<div class="card category-card"><div class="card-body">随机变量的数字特征</div></div>
</a>
</div>
<div class="col-lg-4 col-md-6 col-sm-6">
<a href="gallery.html?cat=group6&page=21" class="text-decoration-none">
<div class="card category-card"><div class="card-body">常见分布 & 数学期望与方差</div></div>
</a>
</div>
<div class="col-lg-6 col-md-6 col-sm-6">
<a href="gallery.html?cat=group6&page=22" class="text-decoration-none">
<div class="card category-card"><div class="card-body">正项级数 & 交错级数判定</div></div>
</a>
</div>
<div class="col-lg-6 col-md-12 col-sm-12">
<a href="gallery.html?cat=group6&page=23" class="text-decoration-none">
<div class="card category-card"><div class="card-body">幂级数 & 线代基础</div></div>
</a>
</div>
</div>
</div>
<script src="js/bundle.min.js"></script>
<script>
document.addEventListener('DOMContentLoaded', function () {
// Data structure for categories and pages (same as in gallery.js)
const menuCategoriesData = {
group1: { title: "初高中衔接公式", pages: [ { num: 1, label: "二次方程及因式分解" }, { num: 2, label: "指数、对数与数列" }, { num: 3, label: "数列求和及三角函数" }, { num: 4, label: "奇偶函数" } ] },
group2: { title: "极限与微分基础", pages: [ { num: 5, label: "等价及基础极限公式" }, { num: 6, label: "导数基础" }, { num: 7, label: "常用导数公式" }, { num: 8, label: "零点定理 & 中值定理" }, { num: 9, label: "不定积分基础" } ] },
group3: { title: "不定积分与定积分", pages: [ { num: 10, label: "不定积分公式" }, { num: 11, label: "三角代换及定积分基础" }, { num: 12, label: "变限积分求导 & 牛顿-莱布尼兹" } ] },
group4: { title: "微分方程与向量几何", pages: [ { num: 13, label: "微分方程基础" }, { num: 14, label: "向量积/数量积 & 平面方程" }, { num: 15, label: "空间直线方程" } ] },
group5: { title: "多元微积分与无穷级数", pages: [ { num: 16, label: "多元微分基础" }, { num: 17, label: "多元函数极值 & 多元积分" }, { num: 18, label: "无穷级数 & 幂级数展开" } ] },
group6: { title: "概率论与统计基础", pages: [ { num: 19, label: "线性代数 & 概率论公式" }, { num: 20, label: "随机变量数字特征" }, { num: 21, label: "常见分布 & 期望方差" }, { num: 22, label: "正项级数 & 交错级数" }, { num: 23, label: "幂级数 & 线代基础" } ] }
};
// Populate dropdown menus
for (let i = 1; i <= 6; i++) {
const menuDropdown = document.getElementById(`menuDataDropdown${i}`); // Target the specific ul
const categoryKey = `group${i}`;
if (menuDropdown && menuCategoriesData[categoryKey]) {
// Set the main dropdown link text (optional, if you want to change it from static HTML)
// const navLink = document.getElementById(`menuDataNav${i}`);
// if (navLink) navLink.textContent = menuCategoriesData[categoryKey].title;
menuCategoriesData[categoryKey].pages.forEach(page => {
const listItem = document.createElement("li");
const link = document.createElement("a");
link.className = "dropdown-item";
// Construct the link to gallery.html with appropriate query parameters
link.href = `gallery.html?cat=${categoryKey}&page=${page.num}`;
link.textContent = page.label;
listItem.appendChild(link);
menuDropdown.appendChild(listItem);
});
}
}
});
</script>
</body>
</html>