<?xml version="1.0" encoding="utf-8" ?><rss version="2.0"><channel><title><![CDATA[csdn_aspnet的专栏，请点击博客主页右上角三个点中的私信联系]]></title><description><![CDATA[]]></description><link>https://blog.youkuaiyun.com/hefeng_aspnet</link><language>zh-cn</language><generator>https://blog.youkuaiyun.com/</generator><copyright><![CDATA[Copyright &copy; hefeng_aspnet]]></copyright><item><title><![CDATA[Redis 入门：Windows、Mac安装指南]]></title><link>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/170186341</link><guid>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/170186341</guid><author>hefeng_aspnet</author><pubDate>Sat, 07 Nov 2026 09:25:43 +0800</pubDate><description><![CDATA[本文详细介绍了在Windows（推荐WSL）和macOS上安装Redis的两种方法：通过WSL运行原生Linux版Redis，或使用Memurai（Windows原生版）；macOS用户可借助Homebrew快速安装。安装后，使用redis-cli连接并验证，执行PING测试连通性。文中还演示了常用指令如SET、GET、EXISTS和DEL，帮助开发者快速上手。适合初学者的完整入门指南。]]></description><category></category></item><item><title><![CDATA[如何在 Windows 上安装 Redis 并运行 Redis CLI]]></title><link>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/170186154</link><guid>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/170186154</guid><author>hefeng_aspnet</author><pubDate>Sat, 07 Nov 2026 09:25:15 +0800</pubDate><description><![CDATA[本文详细介绍了在Windows系统上安装与管理Redis的五个步骤：下载Redis二进制包、解压至指定目录、以服务形式安装、启动服务并验证（通过ping命令返回PONG），以及后续管理操作（如停止、卸载服务及配置文件修改）。适用于希望在Windows环境下使用Redis作为缓存或数据库的用户。]]></description><category></category></item><item><title><![CDATA[什么是 Redis 以及如何在系统（Ubuntu、Debian、AlmaLinux、Rocky 或 CentOS）上安装它]]></title><link>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/170184748</link><guid>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/170184748</guid><author>hefeng_aspnet</author><pubDate>Fri, 06 Nov 2026 09:09:02 +0800</pubDate><description><![CDATA[Redis是基于内存的高速数据存储系统，广泛用于缓存、会话管理和任务队列。在Ubuntu/Debian上用apt安装，AlmaLinux/Rocky/CentOS上用dnf安装，均通过systemctl enable --now redis-server启动并设为开机自启。使用redis-cli测试ping响应及set/get操作验证功能。务必配置bind 127.0.0.1和requirepass密码以保障安全，避免暴露于公网。适用于WordPress、Laravel等应用加速。]]></description><category></category></item><item><title><![CDATA[什么是 Redis？如何进行本地（Ubuntu、Mac、Windows）部署？]]></title><link>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/170184230</link><guid>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/170184230</guid><author>hefeng_aspnet</author><pubDate>Fri, 06 Nov 2026 08:59:21 +0800</pubDate><description><![CDATA[Redis是一款高性能开源内存数据存储，支持多种数据结构，广泛用于缓存、实时分析、消息代理等场景。其高速得益于内存存储、单线程架构、优化数据结构、异步I/O及高效协议。本文介绍Redis的原理与在Ubuntu、Windows（WSL2）、Mac上的本地配置方法，并通过ping和set/get命令验证安装。欢迎收藏、点赞、评论，祝您快乐每一天！]]></description><category></category></item><item><title><![CDATA[如何在本地 Docker 容器中运行 Redis，并使用 Redis Insight 和 Redis CLI 进行管理]]></title><link>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/168873055</link><guid>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/168873055</guid><author>hefeng_aspnet</author><pubDate>Thu, 05 Nov 2026 08:56:05 +0800</pubDate><description><![CDATA[本文教程介绍了如何使用Docker本地运行Redis服务器与RedisInsight，实现数据的可视化管理。通过RedisInsight和RedisCLI，学习了对哈希、字符串、列表、集合、有序集、流及JSON等数据类型的增删改查（CRUD）操作，涵盖HSET、GET、SADD、XADD等核心命令，帮助开发者高效掌握Redis基本用法。]]></description><category></category></item><item><title><![CDATA[使用 Docker 和 RedisInsight 设置 Redis 以进行本地开发]]></title><link>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/168865572</link><guid>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/168865572</guid><author>hefeng_aspnet</author><pubDate>Thu, 05 Nov 2026 08:55:42 +0800</pubDate><description><![CDATA[本文介绍如何使用Docker Compose快速搭建本地Redis开发环境，并集成官方GUI工具RedisInsight。通过配置redis和redis-insight容器，实现可视化管理Redis实例，支持持久化存储，便于开发调试。步骤简洁，无需复杂配置，适合学习与开发使用。]]></description><category></category></item><item><title><![CDATA[PHP 求抛物线的顶点、焦点和准线(Finding the vertex, focus and directrix of a parabola)]]></title><link>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/165291944</link><guid>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/165291944</guid><author>hefeng_aspnet</author><pubDate>Wed, 04 Nov 2026 08:37:29 +0800</pubDate><description><![CDATA[已知抛物线方程 $ y = ax^2 + bx + c $，可通过公式求顶点 $ \left(-\frac{b}{2a}, \frac{4ac - b^2}{4a}\right) $、焦点 $ \left(-\frac{b}{2a}, \frac{4ac - b^2 + 1}{4a}\right) $ 及准线 $ y = c - \frac{b^2 + 1}{4a} $。以 $ a=5, b=3, c=2 $ 为例，计算得顶点 $(-0.3, 1.55)$，焦点 $(-0.3, 1.6)$，准线 $ y =]]></description><category></category></item><item><title><![CDATA[JavaScript 求抛物线的顶点、焦点和准线(Finding the vertex, focus and directrix of a parabola)]]></title><link>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/165291842</link><guid>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/165291842</guid><author>hefeng_aspnet</author><pubDate>Wed, 04 Nov 2026 08:37:14 +0800</pubDate><description><![CDATA[已知抛物线方程 $ y = ax^2 + bx + c $，可通过公式求顶点 $ \left( -\frac{b}{2a}, \frac{4ac - b^2}{4a} \right) $、焦点 $ \left( -\frac{b}{2a}, \frac{4ac - b^2 + 1}{4a} \right) $ 及准线 $ y = c - \frac{b^2 + 1}{4a} $。以 $ a=5, b=3, c=2 $ 为例，计算得顶点 $(-0.3, 1.55)$，焦点 $(-0.3, 1.6)$，准线 $]]></description><category></category></item><item><title><![CDATA[Python 求抛物线的顶点、焦点和准线(Finding the vertex, focus and directrix of a parabola)]]></title><link>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/165291541</link><guid>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/165291541</guid><author>hefeng_aspnet</author><pubDate>Tue, 03 Nov 2026 08:37:46 +0800</pubDate><description><![CDATA[已知抛物线方程 $ y = ax^2 + bx + c $，其顶点为 $ \left( -\frac{b}{2a}, \frac{4ac - b^2}{4a} \right) $，焦点为 $ \left( -\frac{b}{2a}, \frac{4ac - b^2 + 1}{4a} \right) $，准线方程为 $ y = c - \frac{b^2 + 1}{4a} $。以 $ a=5, b=3, c=2 $ 为例，计算得顶点 $(-0.3, 1.55)$，焦点 $(-0.3, 1.6)$，准线 $ ]]></description><category></category></item><item><title><![CDATA[Java 求抛物线的顶点、焦点和准线(Finding the vertex, focus and directrix of a parabola)]]></title><link>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/165291151</link><guid>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/165291151</guid><author>hefeng_aspnet</author><pubDate>Tue, 03 Nov 2026 08:37:40 +0800</pubDate><description><![CDATA[已知抛物线方程 $ y = ax^2 + bx + c $，利用公式可求其顶点 $ \left(-\frac{b}{2a}, \frac{4ac - b^2}{4a}\right) $、焦点 $ \left(-\frac{b}{2a}, \frac{4ac - b^2 + 1}{4a}\right) $ 及准线 $ y = c - \frac{b^2 + 1}{4a} $。以 $ a=5, b=3, c=2 $ 为例，计算得顶点为 $(-0.3, 1.55)$，焦点为 $(-0.3, 1.6)$，准线为 $]]></description><category></category></item><item><title><![CDATA[C# 求抛物线的顶点、焦点和准线(Finding the vertex, focus and directrix of a parabola)]]></title><link>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/165291701</link><guid>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/165291701</guid><author>hefeng_aspnet</author><pubDate>Mon, 02 Nov 2026 08:41:41 +0800</pubDate><description><![CDATA[已知抛物线方程 $ y = ax^2 + bx + c $，可通过公式求顶点 $ \left(-\frac{b}{2a}, \frac{4ac - b^2}{4a}\right) $、焦点 $ \left(-\frac{b}{2a}, \frac{4ac - b^2 + 1}{4a}\right) $ 及准线 $ y = c - \frac{b^2 + 1}{4a} $。以 $ a=5, b=3, c=2 $ 为例，计算得顶点 $(-0.3, 1.55)$，焦点 $(-0.3, 1.6)$，准线 $ y =]]></description><category></category></item><item><title><![CDATA[C++ 求抛物线的顶点、焦点和准线(Finding the vertex, focus and directrix of a parabola)]]></title><link>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/165288470</link><guid>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/165288470</guid><author>hefeng_aspnet</author><pubDate>Mon, 02 Nov 2026 08:41:08 +0800</pubDate><description><![CDATA[已知抛物线方程 $ y = ax^2 + bx + c $，可利用公式求其顶点、焦点和准线。顶点为 $ \left( -\frac{b}{2a}, \frac{4ac - b^2}{4a} \right) $，焦点为 $ \left( -\frac{b}{2a}, \frac{4ac - b^2 + 1}{4a} \right) $，准线方程为 $ y = c - \frac{b^2 + 1}{4a} $。以 $ a=5, b=3, c=2 $ 为例，计算得顶点 $(-0.3, 1.55)$，焦点 $(-0]]></description><category></category></item><item><title><![CDATA[Ubuntu 20.04+、Debian 11+、CentOS 7+、macOS 10.15+ 或 Windows 10/11专业版，逐步安装 Docker 和 Docker Compose及问题排查]]></title><link>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/168863412</link><guid>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/168863412</guid><author>hefeng_aspnet</author><pubDate>Sat, 31 Oct 2026 09:27:32 +0800</pubDate><description><![CDATA[本文详细介绍了在Ubuntu、Debian、CentOS、macOS和Windows上一键安装Docker与Docker Compose的完整流程，涵盖环境准备、安装步骤、验证方法及常见问题排查。通过实战案例演示了使用Docker Compose部署Nginx应用，并总结了常用命令与最佳实践，帮助开发者快速掌握容器化技术，提升开发与部署效率。]]></description><category></category></item><item><title><![CDATA[如何在 Windows 上安装 Docker：新手指南]]></title><link>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/168845347</link><guid>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/168845347</guid><author>hefeng_aspnet</author><pubDate>Sat, 31 Oct 2026 09:26:55 +0800</pubDate><description><![CDATA[本文详述了在Windows 11及以上系统上安装Docker Desktop的完整流程，重点对比Hyper-V与WSL两种运行时选项，推荐使用轻量高效的WSL2。文章提供详细配置要求与安装步骤，包括下载、配置运行时、安装及验证，最终通过docker --version确认安装成功，助力开发者快速开启容器化应用之旅。]]></description><category></category></item><item><title><![CDATA[JavaScript 已知三个点，求多边形的最小面积(Minimum area of a Polygon with three points given)]]></title><link>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/165287650</link><guid>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/165287650</guid><author>hefeng_aspnet</author><pubDate>Fri, 30 Oct 2026 08:35:11 +0800</pubDate><description><![CDATA[给定正多边形（n&gt;3）的三个顶点，求其最小面积。通过计算三点构成三角形的外接圆半径和各内角，利用最大公约数确定最小边数n，再代入正多边形面积公式 $ A = \frac{n r^2 \sin(2\pi/n)}{2} $ 求解。示例中三点形成直角三角形，推得n=4，对应正方形，面积为1.00。时间复杂度O(log(min(A,B,C)))，空间复杂度O(1)。]]></description><category></category></item><item><title><![CDATA[Python 已知三个点，求多边形的最小面积(Minimum area of a Polygon with three points given)]]></title><link>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/165287203</link><guid>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/165287203</guid><author>hefeng_aspnet</author><pubDate>Fri, 30 Oct 2026 08:35:04 +0800</pubDate><description><![CDATA[给定正多边形（n&gt;3）的三个顶点，求其最小面积。通过计算三点构成三角形的外接圆半径和内角，利用最大公约数确定最小边数n，再代入正多边形面积公式 $ A = \frac{n r^2 \sin(2\pi/n)}{2} $ 求得最小面积。示例中三点构成直角三角形，推得正方形（n=4），面积为1.00。时间复杂度O(log(min(A,B,C)))，空间复杂度O(1)。]]></description><category></category></item><item><title><![CDATA[C# 已知三个点，求多边形的最小面积(Minimum area of a Polygon with three points given)]]></title><link>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/165287470</link><guid>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/165287470</guid><author>hefeng_aspnet</author><pubDate>Thu, 29 Oct 2026 08:41:08 +0800</pubDate><description><![CDATA[给定正多边形（n&gt;3）的三个顶点，求其最小面积。通过计算三点构成三角形的外接圆半径和各内角，利用最大公约数确定最小边数n，再代入正多边形面积公式 $ A = \frac{n r^2 \sin(2\pi/n)}{2} $ 求得最小面积。示例中三点形成直角三角形，对应正方形，面积为1.00。时间复杂度O(log(min(A,B,C)))，空间复杂度O(1)。]]></description><category></category></item><item><title><![CDATA[Java 已知三个点，求多边形的最小面积(Minimum area of a Polygon with three points given)]]></title><link>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/165286848</link><guid>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/165286848</guid><author>hefeng_aspnet</author><pubDate>Thu, 29 Oct 2026 08:41:00 +0800</pubDate><description><![CDATA[给定正多边形（n&gt;3）的三个顶点，求其最小面积。通过计算三点构成三角形的外接圆半径和各内角，利用最大公约数确定最小边数n，再代入正多边形面积公式 $ A = \frac{n r^2 \sin(2\pi/n)}{2} $ 求解。示例中三点构成直角三角形，外接圆半径为 $ \frac{\sqrt{2}}{2} $，对应正方形（n=4），面积为1.00。时间复杂度 $ O(\log \min(A,B,C)) $，空间复杂度 $ O(1) $。]]></description><category></category></item><item><title><![CDATA[C++ 已知三个点，求多边形的最小面积(Minimum area of a Polygon with three points given)]]></title><link>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/165284750</link><guid>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/165284750</guid><author>hefeng_aspnet</author><pubDate>Wed, 28 Oct 2026 09:07:43 +0800</pubDate><description><![CDATA[本文介绍如何通过三个给定顶点求解满足条件的最小面积正多边形（n&gt;3）。核心思路是：先计算三点构成三角形的外接圆半径与各内角，利用角度的最大公约数确定最小正多边形边数n，再代入公式 $ A = \frac{n r^2 \sin(2\pi/n)}{2} $ 计算最小面积。算法基于海伦公式和余弦定理，时间复杂度为 $ O(\log \min(A,B,C)) $，空间复杂度 $ O(1) $。示例输入(0,0)、(1,1)、(0,1)输出面积1.00，对应边长为1的正方形。]]></description><category></category></item><item><title><![CDATA[构建、运行与管理容器的 18 个常用 Docker 命令]]></title><link>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/169233271</link><guid>https://blog.youkuaiyun.com/hefeng_aspnet/article/details/169233271</guid><author>hefeng_aspnet</author><pubDate>Wed, 28 Oct 2026 09:07:13 +0800</pubDate><description><![CDATA[本文系统介绍Docker核心命令，涵盖镜像管理（docker pull/build/images/rmi）、容器操作（run/start/stop/exec/logs/rm/restart）、网络配置（network ls/create）及数据卷（volume ls/create），并重点讲解Docker Compose实现多容器应用自动化部署。通过18个必备命令与最佳实践，帮助开发者高效构建、运行与维护容器化应用，提升开发效率与环境一致性。]]></description><category></category></item></channel></rss>