SSM简明教程:简单的十步教你搭建人生第一个SSM框架[ SSM框架整合教程(Spring+SpringMVC+MyBatis) ]
SSM_BookSystem SSM框架基础
SSM_BookSystem ---> Hello CRUD
说明:本项目目前包含基础的CRUD
日期:2017-05-01 22:25:37
作者:hisenyuan
网站:hisen.me
源码:https://github.com/hisenyuan/SSM_BookSystem (最新更新会在此处)
预览:


搭建过程:
一般idea创建工程的过程
打开idea ---> File ---> new ---> project ---> maven --->
create from archetype ---> maven-archetype-webapp ---> 接下来一般默认即可
最后在main目录下新建java文件夹,并且mark as source root。
首先创建如下的目录结构即可:
├── java
│ └── com
│ └── hisen
│ ├── dao
│ │ └── BookDao.java
│ ├── entity
│ │ └── Book.java
│ ├── service
│ │ ├── BookService.java
│ │ └── impl
│ │ └── BookServiceImpl.java
│ └── web
│ └── BookController.java
├── resources
│ ├── jdbc.properties
│ ├── logback.xml
│ ├── mapper
│ │ └── BookMapper.xml
│ ├── mybatis-config.xml
│ └── spring
│ ├── spring-dao.xml
│ ├── spring-service.xml
│ └── spring-web.xml
└── webapp
├── index.jsp
└── WEB-INF
├── jsp
│ ├── detail.jsp
│ └── list.jsp
└── web.xml
第一步:添加Spring、Spring MVC、Mybatis的依赖
都配有详细的说明,这里不再重复
详情请看pom.xml
第二步:添加数据库配置文件
├── resources
│ ├── jdbc.properties
创建数据库配置文件,内容如下
jdbc.driver=com.mysql.jdbc.Driver
jdbc.url=jdbc:mysql://127.0.0.1:3306/booksystem?useUnicode=true&characterEncoding=utf8
jdbc.username=root
jdbc.password=hisen
这里需要创建一个数据库,名为:booksystem
建表语句如下:
CREATE TABLE `book` (
`book_id` bigint(20) NOT NULL AUTO_INCREMENT COMMENT '图书ID',
`name` varchar(100) NOT NULL COMMENT '图书名称',
`number` int(11) NOT NULL COMMENT '图书数量',
`detail` varchar(200) NOT NULL COMMENT '图书描述',
PRIMARY KEY (`book_id`)
) ENGINE=InnoDB AUTO_INCREMENT=1 DEFAULT CHARSET=utf8 COMMENT='图书表'
表结构如下:
+---------+--------------+------+-----+---------+----------------+
| Field | Type | Null | Key | Default | Extra |
+---------+--------------+------+-----+---------+----------------+
| book_id | bigint(20) | NO | PRI | NULL | auto_increment |
| name | varchar(100) | NO | | NULL | |
| number | int(11) | NO | | NULL | |
| detail | varchar(200) | NO | | NULL | |
+---------+--------------+------+-----+---------+----------------+
第三步:添加mybatis配置文件
├── resources
│ ├── mybatis-config.xml
在resources目录下新建文件:mybatis-config.xml
内容如下:
<?xml version="1.0" encoding="UTF-8" ?>
<!DOCTYPE configuration
PUBLIC "-//mybatis.org//DTD Config 3.0//EN"
"http://mybatis.org/dtd/mybatis-3-config.dtd">
<configuration>
<!-- 配置全局属性 -->
<settings>
<!-- 使用jdbc的getGeneratedKeys获取数据库自增主键值 -->
<setting name="useGeneratedKeys" value="true" />
<!-- 使用列别名替换列名 默认:true -->
<setting name="useColumnLabel" value="true" />
<!-- 开启驼峰命名转换:Table{create_time} -> Entity{createTime} -->
<setting name="mapUnderscoreToCamelCase" value="true" />
</settings>
</configuration>
第四步:添加Spring配置文件
在resources/spring目录下新建三个文件:
│ └── spring
│ ├── spring-dao.xml
│ ├── spring-service.xml
│ └── spring-web.xml
详细内容详见:resources/spring/
第五步:添加logback配置文件
logback配置比log4j要简单点,功能类似
├── resources
│ ├── logback.xml
在resources文件夹下新建文件:logback.xml
<?xml version="1.0" encoding="UTF-8" ?>
<configuration debug="true">
<appender name="STDOUT" class="ch.qos.logback.core.ConsoleAppender">
<encoder>
<pattern>%d{HH:mm:ss.SSS} [%thread] %-5level %logger{36} - %msg%n</pattern>
</encoder>
</appender>
<!--开启debug日志模式,在控制台打印日志-->
<root level="debug">
<appender-ref ref="STDOUT" />
</root>
</configuration>
第六步:创建DAO、entity
如下两个文件:BookDao.java、Book.java
│ └── com
│ └── hisen
│ ├── dao
│ │ └── BookDao.java
│ ├── entity
│ │ └── Book.java
详细内容:BookDao.java
详细内容:Book.java
创建测试类:
- 测试基类:查看代码BaseTest.java
- BookDao:查看代码BookDaoTest.java
- 测试:addBook (由于没有预先准备数据,所以就先添加)
20:12:26.674 [main] DEBUG o.m.s.t.SpringManagedTransaction - JDBC Connection [com.mchange.v2.c3p0.impl.NewProxyConnection@7b7fdc8] will not be managed by Spring
20:12:26.709 [main] DEBUG com.hisen.dao.BookDao.addBook - ==> Preparing: INSERT INTO book(`book_id`, `name`, `number`,`detail`) VALUES(?, ?, ?, ?)
20:12:26.777 [main] DEBUG com.hisen.dao.BookDao.addBook - ==> Parameters: 0(Long), 活着0(String), 100(Integer), 描述0(String)
20:12:26.783 [main] DEBUG com.hisen.dao.BookDao.addBook - <== Updates: 1
20:12:26.791 [main] DEBUG org.mybatis.spring.SqlSessionUtils - Closing non transactional SqlSession [org.apache.ibatis.session.defaults.DefaultSqlSession@6f3187b0]
20:12:26.792 [main] DEBUG org.mybatis.spring.SqlSessionUtils - Creating a new SqlSession
20:12:26.793 [main] DEBUG org.mybatis.spring.SqlSessionUtils - SqlSession [org.apache.ibatis.session.defaults.DefaultSqlSession@a307a8c] was not registered for synchronization because synchronization is not active
20:12:26.793 [main] DEBUG o.m.s.t.SpringManagedTransaction - JDBC Connection [com.mchange.v2.c3p0.impl.NewProxyConnection@2b9ed6da] will not be managed by Spring
20:12:26.793 [main] DEBUG com.hisen.dao.BookDao.addBook - ==> Preparing: INSERT INTO book(`book_id`, `name`, `number`,`detail`) VALUES(?, ?, ?, ?)
20:12:26.794 [main] DEBUG com.hisen.dao.BookDao.addBook - ==> Parameters: 0(Long), 活着1(String), 101(Integer), 描述1(String)
20:12:26.798 [main] DEBUG com.hisen.dao.BookDao.addBook - <== Updates: 1
20:12:26.798 [main] DEBUG org.mybatis.spring.SqlSessionUtils - Closing non transactional SqlSession [org.apache.ibatis.session.defaults.DefaultSqlSession@a307a8c]
20:12:26.798 [main] DEBUG org.mybatis.spring.SqlSessionUtils - Creating a new SqlSession
20:12:26.799 [main] DEBUG org.mybatis.spring.SqlSessionUtils - SqlSession [org.apache.ibatis.session.defaults.DefaultSqlSession@4b34fff9] was not registered for synchronization because synchronization is not active
20:12:26.799 [main] DEBUG o.m.s.t.SpringManagedTransaction - JDBC Connection [com.mchange.v2.c3p0.impl.NewProxyConnection@127a7a2e] will not be managed by Spring
20:12:26.799 [main] DEBUG com.hisen.dao.BookDao.addBook - ==> Preparing: INSERT INTO book(`book_id`, `name`, `number`,`detail`) VALUES(?, ?, ?, ?)
20:12:26.799 [main] DEBUG com.hisen.dao.BookDao.addBook - ==> Parameters: 0(Long), 活着2(String), 102(Integer), 描述2(String)
20:12:26.804 [main] DEBUG com.hisen.dao.BookDao.addBook - <== Updates: 1
20:12:26.804 [main] DEBUG org.mybatis.spring.SqlSessionUtils - Closing non transactional SqlSession [org.apache.ibatis.session.defaults.DefaultSqlSession@4b34fff9]
20:12:26.805 [main] DEBUG org.mybatis.spring.SqlSessionUtils - Creating a new SqlSession
20:12:26.805 [main] DEBUG org.mybatis.spring.SqlSessionUtils - SqlSession [org.apache.ibatis.session.defaults.DefaultSqlSession@518caac3] was not registered for synchronization because synchronization is not active
20:12:26.805 [main] DEBUG o.m.s.t.SpringManagedTransaction - JDBC Connection [com.mchange.v2.c3p0.impl.NewProxyConnection@4f74980d] will not be managed by Spring
20:12:26.805 [main] DEBUG com.hisen.dao.BookDao.addBook - ==> Preparing: INSERT INTO book(`book_id`, `name`, `number`,`detail`) VALUES(?, ?, ?, ?)
20:12:26.805 [main] DEBUG com.hisen.dao.BookDao.addBook - ==> Parameters: 0(Long), 活着3(String), 103(Integer), 描述3(String)
20:12:26.810 [main] DEBUG com.hisen.dao.BookDao.addBook - <== Updates: 1
20:12:26.811 [main] DEBUG org.mybatis.spring.SqlSessionUtils - Closing non transactional SqlSession [org.apache.ibatis.session.defaults.DefaultSqlSession@518caac3]
20:12:26.811 [main] DEBUG org.mybatis.spring.SqlSessionUtils - Creating a new SqlSession
20:12:26.811 [main] DEBUG org.mybatis.spring.SqlSessionUtils - SqlSession [org.apache.ibatis.session.defaults.DefaultSqlSession@1722011b] was not registered for synchronization because synchronization is not active
20:12:26.811 [main] DEBUG o.m.s.t.SpringManagedTransaction - JDBC Connection [com.mchange.v2.c3p0.impl.NewProxyConnection@5b3f61ff] will not be managed by Spring
20:12:26.811 [main] DEBUG com.hisen.dao.BookDao.addBook - ==> Preparing: INSERT INTO book(`book_id`, `name`, `number`,`detail`) VALUES(?, ?, ?, ?)
20:12:26.812 [main] DEBUG com.hisen.dao.BookDao.addBook - ==> Parameters: 0(Long), 活着4(String), 104(Integer), 描述4(String)
20:12:26.816 [main] DEBUG com.hisen.dao.BookDao.addBook - <== Updates: 1
20:12:26.817 [main] DEBUG org.mybatis.spring.SqlSessionUtils - Closing non transactional SqlSession [org.apache.ibatis.session.defaults.DefaultSqlSession@1722011b]
20:12:26.817 [main] DEBUG org.mybatis.spring.SqlSessionUtils - Creating a new SqlSession
20:12:26.817 [main] DEBUG org.mybatis.spring.SqlSessionUtils - SqlSession [org.apache.ibatis.session.defaults.DefaultSqlSession@6a47b187] was not registered for synchronization because synchronization is not active
20:12:26.817 [main] DEBUG o.m.s.t.SpringManagedTransaction - JDBC Connection [com.mchange.v2.c3p0.impl.NewProxyConnection@1ef6d34c] will not be managed by Spring
20:12:26.817 [main] DEBUG com.hisen.dao.BookDao.addBook - ==> Preparing: INSERT INTO book(`book_id`, `name`, `number`,`detail`) VALUES(?, ?, ?, ?)
20:12:26.818 [main] DEBUG com.hisen.dao.BookDao.addBook - ==> Parameters: 0(Long), 活着5(String), 105(Integer), 描述5(String)
20:12:26.822 [main] DEBUG com.hisen.dao.BookDao.addBook - <== Updates: 1
20:12:26.823 [main] DEBUG org.mybatis.spring.SqlSessionUtils - Closing non transactional SqlSession [org.apache.ibatis.session.defaults.DefaultSqlSession@6a47b187]
20:12:26.823 [main] DEBUG org.mybatis.spring.SqlSessionUtils - Creating a new SqlSession
20:12:26.823 [main] DEBUG org.mybatis.spring.SqlSessionUtils - SqlSession [org.apache.ibatis.session.defaults.DefaultSqlSession@6fa34d52] was not registered for synchronization because synchronization is not active
20:12:26.824 [main] DEBUG o.m.s.t.SpringManagedTransaction - JDBC Connection [com.mchange.v2.c3p0.impl.NewProxyConnection@616ac46a] will not be managed by Spring
20:12:26.825 [main] DEBUG com.hisen.dao.BookDao.addBook - ==> Preparing: INSERT INTO book(`book_id`, `name`, `number`,`detail`) VALUES(?, ?, ?, ?)
20:12:26.825 [main] DEBUG com.hisen.dao.BookDao.addBook - ==> Parameters: 0(Long), 活着6(String), 106(Integer), 描述6(String)
20:12:26.830 [main] DEBUG com.hisen.dao.BookDao.addBook - <== Updates: 1
20:12:26.830 [main] DEBUG org.mybatis.spring.SqlSessionUtils - Closing non transactional SqlSession [org.apache.ibatis.session.defaults.DefaultSqlSession@6fa34d52]
20:12:26.830 [main] DEBUG org.mybatis.spring.SqlSessionUtils - Creating a new SqlSession
20:12:26.830 [main] DEBUG org.mybatis.spring.SqlSessionUtils - SqlSession [org.apache.ibatis.session.defaults.DefaultSqlSession@1d483de4] was not registered for synchronization because synchronization is not active
20:12:26.831 [main] DEBUG o.m.s.t.SpringManagedTransaction - JDBC Connection [com.mchange.v2.c3p0.impl.NewProxyConnection@28d18df5] will not be managed by Spring
20:12:26.831 [main] DEBUG com.hisen.dao.BookDao.addBook - ==> Preparing: INSERT INTO book(`book_id`, `name`, `number`,`detail`) VALUES(?, ?, ?, ?)
20:12:26.832 [main] DEBUG com.hisen.dao.BookDao.addBook - ==> Parameters: 0(Long), 活着7(String), 107(Integer), 描述7(String)
20:12:26.836 [main] DEBUG com.hisen.dao.BookDao.addBook - <== Updates: 1
20:12:26.836 [main] DEBUG org.mybatis.spring.SqlSessionUtils - Closing non transactional SqlSession [org.apache.ibatis.session.defaults.DefaultSqlSession@1d483de4]
20:12:26.836 [main] DEBUG org.mybatis.spring.SqlSessionUtils - Creating a new SqlSession
20:12:26.836 [main] DEBUG org.mybatis.spring.SqlSessionUtils - SqlSession [org.apache.ibatis.session.defaults.DefaultSqlSession@2b175c00] was not registered for synchronization because synchronization is not active
20:12:26.836 [main] DEBUG o.m.s.t.SpringManagedTransaction - JDBC Connection [com.mchange.v2.c3p0.impl.NewProxyConnection@1ae8bcbc] will not be managed by Spring
20:12:26.836 [main] DEBUG com.hisen.dao.BookDao.addBook - ==> Preparing: INSERT INTO book(`book_id`, `name`, `number`,`detail`) VALUES(?, ?, ?, ?)
20:12:26.837 [main] DEBUG com.hisen.dao.BookDao.addBook - ==> Parameters: 0(Long), 活着8(String), 108(Integer), 描述8(String)
20:12:26.842 [main] DEBUG com.hisen.dao.BookDao.addBook - <== Updates: 1
20:12:26.842 [main] DEBUG org.mybatis.spring.SqlSessionUtils - Closing non transactional SqlSession [org.apache.ibatis.session.defaults.DefaultSqlSession@2b175c00]
20:12:26.843 [main] DEBUG org.mybatis.spring.SqlSessionUtils - Creating a new SqlSession
20:12:26.843 [main] DEBUG org.mybatis.spring.SqlSessionUtils - SqlSession [org.apache.ibatis.session.defaults.DefaultSqlSession@35399441] was not registered for synchronization because synchronization is not active
20:12:26.843 [main] DEBUG o.m.s.t.SpringManagedTransaction - JDBC Connection [com.mchange.v2.c3p0.impl.NewProxyConnection@6304101a] will not be managed by Spring
20:12:26.843 [main] DEBUG com.hisen.dao.BookDao.addBook - ==> Preparing: INSERT INTO book(`book_id`, `name`, `number`,`detail`) VALUES(?, ?, ?, ?)
20:12:26.843 [main] DEBUG com.hisen.dao.BookDao.addBook - ==> Parameters: 0(Long), 活着9(String), 109(Integer), 描述9(String)
20:12:26.848 [main] DEBUG com.hisen.dao.BookDao.addBook - <== Updates: 1
20:12:26.848 [main] DEBUG org.mybatis.spring.SqlSessionUtils - Closing non transactional SqlSession [org.apache.ibatis.session.defaults.DefaultSqlSession@35399441]
- 测试:queryById
20:15:03.947 [main] DEBUG o.m.s.t.SpringManagedTransaction - JDBC Connection [com.mchange.v2.c3p0.impl.NewProxyConnection@7fc4780b] will not be managed by Spring
20:15:03.972 [main] DEBUG com.hisen.dao.BookDao.queryById - ==> Preparing: SELECT book_id, name, number, detail FROM book WHERE book_id = ?
20:15:04.047 [main] DEBUG com.hisen.dao.BookDao.queryById - ==> Parameters: 101(Long)
20:15:04.076 [main] DEBUG com.hisen.dao.BookDao.queryById - <== Total: 1
20:15:04.088 [main] DEBUG org.mybatis.spring.SqlSessionUtils - Closing non transactional SqlSession [org.apache.ibatis.session.defaults.DefaultSqlSession@6f3187b0]
Book{bookId=101, name='活着0', number=100, detail='描述0'}
以此类推,就不多写了
第七步:创建mybatis mapper文件
在resources/mapper/目录下创建:resources/mapper/BookMapper.xml
在mapper文件中需要用到第六步的内容
第八步:创建service
├── service
│ ├── BookService.java
│ └── impl
│ └── BookServiceImpl.java
具体内容:service
- 创建测试类:BookServiceImplTest
- BookServiceImplTest:查看代码BookServiceImplTest.java
- 测试:getById
20:19:58.871 [main] DEBUG o.m.s.t.SpringManagedTransaction - JDBC Connection [com.mchange.v2.c3p0.impl.NewProxyConnection@37fb0bed] will not be managed by Spring
20:19:58.885 [main] DEBUG com.hisen.dao.BookDao.queryById - ==> Preparing: SELECT book_id, name, number, detail FROM book WHERE book_id = ?
20:19:58.974 [main] DEBUG com.hisen.dao.BookDao.queryById - ==> Parameters: 101(Long)
20:19:59.004 [main] DEBUG com.hisen.dao.BookDao.queryById - <== Total: 1
20:19:59.011 [main] DEBUG org.mybatis.spring.SqlSessionUtils - Closing non transactional SqlSession [org.apache.ibatis.session.defaults.DefaultSqlSession@2bec854f]
Book{bookId=101, name='活着0', number=100, detail='描述0'}
第九步:创建controller
└── web
└── BookController.java
具体内容:BookController.java
第十步:创建jsp页面以及配置web.xml
页面主要使用了bootstrap
└── webapp
├── index.jsp
└── WEB-INF
├── jsp
│ ├── detail.jsp
│ └── list.jsp
└── web.xml
具体内容:查看具体内容
SSM简明教程:简单的十步教你搭建人生第一个SSM框架[ SSM框架整合教程(Spring+SpringMVC+MyBatis) ]的更多相关文章
- SSM框架+Plupload实现断点续传(Spring+SpringMVC+MyBatis+Plupload)
关于Plupload的介绍,相信它的官网http://www.plupload.com/已经给得很详细了.Plupload的上传原理简单点说,就是将用户选中的文件(可多个)分隔成一个个小块,依次向服务 ...
- ssm整合(Spring+SpringMVC+Mybatis)
一.Spring Spring致力于提供一种方法管理你的业务对象.IOC容器,它可以装载bean(也就是我们java中的类,当然也包括service dao里面的),有了这个机制,我们就不用在每次使用 ...
- SSM框架整合(Spring+SpringMVC+MyBatis+Oracle)
1.开发环境搭建以及创建Maven Web项目 参看之前的博文[确保maven web项目不报错]:http://www.cnblogs.com/cainiaomahua/p/6306476.html ...
- SSM框架整合(Spring + SpringMVC + MyBatis)
搭建环境 使用Spring(业务层)整合其他的框架SpringMVC(表现层)和MyBatis(持久层) Spring框架 创建数据库表 CREATE DATABASE ssm; USE ssm; C ...
- SpringMVC入门二:SSM整合(spring+springmvc+mybatis)
一.编程步骤 1.引入依赖 spring.springmvc.mybatis.mybatis-spring.mysql.druid.log4j.servlet-api.jstl.fastjson 2. ...
- 【Web】十步教你搭建完整免费的个人网站(花生壳+XAMPP+WordPress)
1.从花生壳官网(http://www.oray.com/peanuthull/download.php)下载最新版本的客户端. 下载完成后安装,注册护照(需手机验证码验证),注册完成后获取免费域名并 ...
- SSM框架整合(注解)-Spring+SpringMVC+MyBatis+MySql
准备工作: 下载整合所需的jar包 点击此处下载 使用MyBatis Generator生成dao接口.映射文件和实体类 如何生成 搭建过程: 先来看一下项目的 目录结构 1.配置dispatcher ...
- SSM三大框架整合(Spring+SpringMVC+MyBatis)
一. 导包 18个必须的包 二.配置Spring MVC的web文件 <?xml version="1.0" encoding="UTF-8"?> ...
- SSM 框架-06-详细整合教程(IDEA版)(Spring+SpringMVC+MyBatis)
SSM 框架-06-详细整合教程(IDEA版)(Spring+SpringMVC+MyBatis) SSM(Spring.Spring MVC和Mybatis)如果你使用的是 Eclipse,请查看: ...
随机推荐
- docker~windows版本的安装与使用
回到目录 在面向服务的框架里,docker扮演着十分重要的角色,他使你的部署更轻量,使运维更智能化,事实上微软自己的项目也已经用上了docker了,下面介绍一下在windows环境上使用docker的 ...
- WIN10下设置惠普HP1050等打印机打印颜色,只打黑白或彩色
今天同事问了一个问题,如何在WIN10下,设置惠普打印机只打印黑白, 上网搜了下,没有找到任何信息,只有在WIN8前系统设置的内容,经过几番折腾,得出此文. WIN10下设置惠普HP1050等打印机打 ...
- 解决win10注册错误 错误代码0x8002801c
使用win10的过程中经常碰到各种注册错误,让人抓狂!!! 现在分享一个完美的解决方法(非原创): 最简洁的办法是:1.自行将msinet.ocx(win10系统64位)组件复制到C:\Windows ...
- Python爬取百度贴吧数据
本渣除了工作外,在生活上还是有些爱好,有些东西,一旦染上,就无法自拔,无法上岸,从此走上一条不归路.花鸟鱼虫便是我坚持了数十年的爱好. 本渣还是需要上班,才能支持我的业余爱好.上班时间还是尽量访问外网 ...
- 使用JavaScript开发跨平台的桌面应用
任何可以使用JavaScript来编写的应用,最终会由JavaScript编写.--Atwood定律 Atwood's Law是Jeff Atwood在2007年提出的:"any appli ...
- [js] post 方式打开新窗口
一.前因 一般我们是用 window.open(url,name,params); 打开新窗口, url 会携带一些参数, 但存在参数过多,引发url 过长截断,无法打开正确窗口, 所以我们需要使用 ...
- Python:使用Kivy将python程序打包为apk文件
1.概述 Kivy是一套Python下的跨平台开源应用开发框架,官网,我们可以用 它来将Python程序打包为安卓的apk安装文件.以下是在windows环境中使用. 安装和配置的过程中会下载很多东西 ...
- opnet安装及安装中出现问题的解决办法 分类: opnet 2014-04-06 21:50 397人阅读 评论(0) 收藏
我使用的opnet14.5 win7 64位系统的http://pan.baidu.com/s/1qWyfxnu,电脑先刷了win7 64位原版系统. 选择了VS2013+opnet14.5的安装方 ...
- Android保存图片到本地相册
好久没有写东西了.备份下知识吧.免得忘记了 . 首先贴一段代码 -- 这个是先生成一个本地的路径,将图片保存到这个文件中,然后扫描下sd卡.让系统相册重新加载下 .缺点就是只能保存到DCIM的文 件 ...
- 一步一步深入理解Dijkstra算法
先简单介绍一下最短路径: 最短路径是啥?就是一个带边值的图中从某一个顶点到另外一个顶点的最短路径. 官方定义:对于内网图而言,最短路径是指两顶点之间经过的边上权值之和最小的路径. 并且我们称路径上的第 ...