我知道这个问题已经有很多答案了，但是这个解决方案在背景图像周围有一个颜色梯度，我想你会喜欢的

import 'package:flutter/material.dart';

class BackgroundImageExample extends StatelessWidget {
  const BackgroundImageExample({Key? key}) : super(key: key);

  @override
  Widget build(BuildContext context) {
    return Stack(
      children: [
        backgroudImage(),
        Scaffold(
          backgroundColor: Colors.transparent,
          body: SafeArea(
            child: Column(
              children: [
                // your body content here
              ],
            ),
          ),
        ),
      ],
    );
  }

  Widget backgroudImage() {
    return ShaderMask(
      shaderCallback: (bounds) => LinearGradient(
        colors: [Colors.black, Colors.black12],
        begin: Alignment.bottomCenter,
        end: Alignment.center,
      ).createShader(bounds),
      blendMode: BlendMode.darken,
      child: Container(
        decoration: BoxDecoration(
          image: DecorationImage(
            image: AssetImage('your image here'), /// change this to your  image directory 
            fit: BoxFit.cover,
            colorFilter: ColorFilter.mode(Colors.black45, BlendMode.darken),
          ),
        ),
      ),
    );
  }
}

截图:

代码:

@override
Widget build(BuildContext context) {
  return DecoratedBox(
    decoration: BoxDecoration(
      image: DecorationImage(image: AssetImage("your_asset"), fit: BoxFit.cover),
    ),
    child: Center(child: FlutterLogo(size: 300)),
  );
}

我不确定我是否理解你的问题，但如果你想让图像填充整个屏幕，你可以使用一个适合BoxFit.cover的DecorationImage。

class BaseLayout extends StatelessWidget{
  @override
  Widget build(BuildContext context){
    return Scaffold(
      body: Container(
        decoration: BoxDecoration(
          image: DecorationImage(
            image: AssetImage("assets/images/bulb.jpg"),
            fit: BoxFit.cover,
          ),
        ),
        child: null /* add child content here */,
      ),
    );
  }
}

对于你的第二个问题，这里有一个关于如何将依赖分辨率的资产图像嵌入到应用程序中的文档链接。

            Image.asset(
              "assets/images/background.png",
              fit: BoxFit.cover,
              height: double.infinity,
              width: double.infinity,
              alignment: Alignment.center,
            ),

如果仍然有problèm，似乎你的图像在高度和宽度上都不完美

body: Container(
    decoration: BoxDecoration(
      image: DecorationImage(
        image: AssetImage('images/background.png'),fit:BoxFit.cover
      )
    ),
);

decoration: BoxDecoration(
      image: DecorationImage(
        image: ExactAssetImage("images/background.png"),
        fit: BoxFit.cover
      ),
    ),

这也适用于容器内部。