android studio cannot resolve method,Android Studio, AndroidX, “Cannot resolve method..” on ViewMode...

这个问题通常是由于缺少相关的依赖库或者版本不兼容导致的，你可以尝试以下几个步骤来解决这个问题：

1. 确保你的项目中已经添加了相关的依赖库，例如ViewModel库，可以在build.gradle文件中添加以下代码：

dependencies {
    def lifecycle_version = "2.3.1"
    implementation "androidx.lifecycle:lifecycle-viewmodel:$lifecycle_version"
}

2. 检查你的版本兼容性，例如ViewModel库需要与你的AndroidX版本兼容，可以在build.gradle文件中添加以下代码：

android {
    compileSdkVersion 30
    buildToolsVersion "30.0.3"

    defaultConfig {
        applicationId "com.example.myapp"
        minSdkVersion 21
        targetSdkVersion 30
        versionCode 1
        versionName "1.0"

        // Enabling multidex support.
        multiDexEnabled true
    }

    // Add this block
    configurations.all {
        // Check for updates to all dependencies, including transitive dependencies
        resolutionStrategy {
            // Use the latest available version
            // This will force Android Studio to always use the latest version of the dependency and its transitive dependencies
            // Note that this can sometimes cause issues if the latest version introduces breaking changes
            // In that case, you may need to manually specify the version that works for your app
            latestVersion '1.0.0'
            // You can also force specific versions of dependencies
            // For example, to force the use of version 1.0.0 of a library:
            // force 'com.example:library:1.0.0'
            // Or to force the use of the latest version in the 1.0.x range:
            // force 'com.example:library:1.0.x'
        }
    }
}

3. 如果以上方法仍然无法解决问题，可以尝试清除一下Android Studio的缓存，重新构建项目。如果还有问题，可以尝试重启Android Studio或者重新安装Android Studio。