您可以使用CupertinoPageRoute实现此目的。请检查以下代码。

import 'package:flutter/material.dart';
import 'package:flutter/cupertino.dart';


void main() => runApp(new MyApp());

class MyApp extends StatelessWidget {
  @override
  Widget build(BuildContext context) {
    return new MaterialApp(
      title: 'Transition Animation Demo',
      theme: new ThemeData(
        primarySwatch: Colors.blue,
      ),
      home: new FirstPage(),
    );
  }
}

class FirstPage extends StatefulWidget {
  @override
  _FirstPageState createState() => new _FirstPageState();
}

class _FirstPageState extends State<FirstPage> {
  @override
  Widget build(BuildContext context) {
    return new Scaffold(
      appBar: new AppBar(
        title: new Text('First Page'),
      ),
      body: new Center(
        child: new RaisedButton(
          child: new Text('Goto Second Page'),
          onPressed: () {
            Navigator.of(context).push(new SecondPageRoute());
          },
        ),
      ),
    );
  }
}

class SecondPageRoute extends CupertinoPageRoute {
  SecondPageRoute()
      : super(builder: (BuildContext context) => new SecondPage());


  // OPTIONAL IF YOU WISH TO HAVE SOME EXTRA ANIMATION WHILE ROUTING
  @override
  Widget buildPage(BuildContext context, Animation<double> animation,
      Animation<double> secondaryAnimation) {
    return new FadeTransition(opacity: animation, child: new SecondPage());
  }
}

class SecondPage extends StatefulWidget {
  @override
  _SecondPageState createState() => new _SecondPageState();
}

class _SecondPageState extends State<SecondPage> {
  @override
  Widget build(BuildContext context) {
    return new Scaffold(
      appBar: new AppBar(
        title: new Text('Second Page'),
      ),
      body: new Center(
        child: new Text('This is the second page'),
      ),
    );
  }
}

一些动画玩法

  // OPTIONAL IF YOU WISH TO HAVE SOME EXTRA ANIMATION WHILE ROUTING
  @override
  Widget buildPage(BuildContext context, Animation<double> animation,
      Animation<double> secondaryAnimation) {
    return new RotationTransition(
        turns: animation,
        child: new ScaleTransition(
          scale: animation,
          child: new FadeTransition(
            opacity: animation,
            child: new SecondPage(),
          ),
        ));
  }