在 Android 11 上，访问图库需要通过 MediaStore API 进行，而且需要配置添加读写权限。以下是一种解决方法，可以在 onActivityResult 回调中处理裁剪后的图片并保存到图库中：

// 定义一个请求码
private static final int REQUEST_CODE_PICK_IMAGE = 1001;

// 启动图库选择器
private void startImagePicker() {
    Intent intent = new Intent(Intent.ACTION_PICK, MediaStore.Images.Media.EXTERNAL_CONTENT_URI);
    startActivityForResult(intent, REQUEST_CODE_PICK_IMAGE);
}

// 处理图库选择器回调
@Override
protected void onActivityResult(int requestCode, int resultCode, Intent data) {
    super.onActivityResult(requestCode, resultCode, data);

    if (requestCode == REQUEST_CODE_PICK_IMAGE && resultCode == RESULT_OK) {
        Uri uri = data.getData();
        if (uri != null) {

            // 启动裁剪器进行裁剪
            Intent intent = new Intent("com.android.camera.action.CROP");
            intent.setDataAndType(uri, "image/*");
            intent.addFlags(Intent.FLAG_GRANT_READ_URI_PERMISSION);
            intent.addFlags(Intent.FLAG_GRANT_WRITE_URI_PERMISSION);
            intent.putExtra("scale", true);
            intent.putExtra("aspectX", 1);
            intent.putExtra("aspectY", 1);
            intent.putExtra("outputX", 256);
            intent.putExtra("outputY", 256);
            intent.putExtra("return-data", false);
            File file = createTempFile();
            if (file != null) {
                Uri outputUri = FileProvider.getUriForFile(this, getPackageName() + ".provider", file);
                intent.putExtra(MediaStore.EXTRA_OUTPUT, outputUri);
                intent.putExtra("outputFormat", Bitmap.CompressFormat.JPEG.toString());
                intent.putExtra("noFaceDetection", true);
                startActivityForResult(intent, REQUEST_CODE_CROP_IMAGE);
            }
        }
    } else if (requestCode == REQUEST_CODE_CROP_IMAGE && resultCode == RESULT_OK) {
        // 裁剪后的图片保存到图库中
        File croppedImage = getTempFile();
        try (InputStream inputStream = getContentResolver().openInputStream(Uri.fromFile(croppedImage))) {

            ContentValues values = new ContentValues();
            values.put(MediaStore.Images.Media.DISPLAY_NAME, croppedImage.getName());
            values.put(MediaStore.Images.Media.MIME_TYPE, "image/jpeg");
            values.put(MediaStore.Images.Media.RELATIVE_PATH, Environment.DIRECTORY_PICTURES);

            Uri uri = getContentResolver().insert(MediaStore.Images.Media.EXTERNAL_CONTENT_URI, values);
            if (uri != null) {
                OutputStream outputStream = getContentResolver().open