不同类型的FragmentManager主要有两种：SupportFragmentManager和FragmentManager。

1. SupportFragmentManager（适用于支持库的FragmentManager）： 示例代码：

import androidx.fragment.app.FragmentManager;
import androidx.fragment.app.FragmentTransaction;

FragmentManager fragmentManager = getSupportFragmentManager();
FragmentTransaction fragmentTransaction = fragmentManager.beginTransaction();

// 添加Fragment到容器中
MyFragment fragment = new MyFragment();
fragmentTransaction.add(R.id.container, fragment);

// 替换当前Fragment
AnotherFragment anotherFragment = new AnotherFragment();
fragmentTransaction.replace(R.id.container, anotherFragment);

// 移除Fragment
Fragment fragmentToRemove = fragmentManager.findFragmentById(R.id.container);
fragmentTransaction.remove(fragmentToRemove);

// 提交事务
fragmentTransaction.commit();

2. FragmentManager（适用于原生的FragmentManager）： 示例代码：

import android.app.FragmentManager;
import android.app.FragmentTransaction;

FragmentManager fragmentManager = getFragmentManager();
FragmentTransaction fragmentTransaction = fragmentManager.beginTransaction();

// 添加Fragment到容器中
MyFragment fragment = new MyFragment();
fragmentTransaction.add(R.id.container, fragment);

// 替换当前Fragment
AnotherFragment anotherFragment = new AnotherFragment();
fragmentTransaction.replace(R.id.container, anotherFragment);

// 移除Fragment
Fragment fragmentToRemove = fragmentManager.findFragmentById(R.id.container);
fragmentTransaction.remove(fragmentToRemove);

// 提交事务
fragmentTransaction.commit();

这些示例代码演示了如何使用不同类型的FragmentManager执行常见操作，例如添加Fragment、替换当前Fragment和移除Fragment。根据你的需求和使用的FragmentManager类型，选择适合你的代码示例。