要解决这个问题，需要确保在应用处于后台时，地理围栏仍然能够正常工作。以下是一种可能的解决方法：

1. 在AndroidManifest.xml文件中，确保已声明必要的权限和服务：

2. 创建一个名为GeofenceTransitionsIntentService的服务类，该类将处理地理围栏的转换事件：

public class GeofenceTransitionsIntentService extends IntentService {

    private static final String TAG = "GeofenceTransitionsIS";

    public GeofenceTransitionsIntentService() {
        super(TAG);
    }

    @Override
    protected void onHandleIntent(Intent intent) {
        GeofencingEvent geofencingEvent = GeofencingEvent.fromIntent(intent);
        if (geofencingEvent.hasError()) {
            Log.e(TAG, "GeofencingEvent error: " + geofencingEvent.getErrorCode());
            return;
        }

        int geofenceTransition = geofencingEvent.getGeofenceTransition();
        if (geofenceTransition == Geofence.GEOFENCE_TRANSITION_ENTER ||
                geofenceTransition == Geofence.GEOFENCE_TRANSITION_EXIT) {
            List triggeringGeofences = geofencingEvent.getTriggeringGeofences();
            // 处理地理围栏转换事件
            // ...
        }
    }
}

3. 在需要使用地理围栏的活动或服务中，注册和管理地理围栏：

public class MainActivity extends AppCompatActivity implements
        GoogleApiClient.ConnectionCallbacks,
        GoogleApiClient.OnConnectionFailedListener,
        ResultCallback {

    private GoogleApiClient googleApiClient;
    private PendingIntent geofencePendingIntent;
    private GeofencingRequest geofencingRequest;
    private Geofence geofence;

    @Override
    protected void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        setContentView(R.layout.activity_main);

        // 初始化GoogleApiClient
        googleApiClient = new GoogleApiClient.Builder(this)
                .addConnectionCallbacks(this)
                .addOnConnectionFailedListener(this)
                .addApi(LocationServices.API)
                .build();

        // 创建Geofence对象
        geofence = new Geofence.Builder()
                .setRequestId("myGeofence")
                .setCircularRegion(37.422, -122.084, 100) // 设置地理围栏的坐标和半径
                .setExpirationDuration(Geofence.NEVER_EXPIRE)
                .setTransitionTypes(Geofence.GEOFENCE_TRANSITION_ENTER | Geofence.GEOFENCE_TRANSITION_EXIT)
                .build();

        // 创建GeofencingRequest对象
        geofencingRequest = new GeofencingRequest.Builder()
                .setInitialTrigger(GeofencingRequest.INITIAL_TRIGGER_ENTER)
                .addGeofence(geofence)
                .build();
    }

    @Override
    protected void onStart() {
        super.onStart();
        googleApiClient.connect();
    }

    @Override
    protected void onStop() {
        super.onStop();
        googleApiClient.disconnect();
    }

    @Override
    public void onConnected(@Nullable Bundle bundle) {
        // 请求地理围栏的权限
        if (ActivityCompat.checkSelfPermission(this, Manifest.permission.ACCESS_FINE_LOCATION)
                != PackageManager.PERMISSION_GRANTED) {
            ActivityCompat.requestPermissions(this,
                    new String[]{Manifest.permission.ACCESS_FINE_LOCATION},
                    1);
        } else {
            // 添加地理围栏
            addGeofence();
        }
    }

    @Override
    public void onRequestPermissionsResult(int requestCode, @NonNull String[] permissions, @NonNull int[] grantResults) {
        super.onRequestPermissionsResult(requestCode, permissions, grantResults);
        if (requestCode == 1 && grantResults.length > 0 && grantResults[0] == PackageManager.PERMISSION_GRANTED) {
            // 添加地理围栏
            addGeofence();
        }
    }

    private void addGeofence() {
        // 创建PendingIntent
        Intent intent = new Intent(this, GeofenceTransitionsIntentService.class);
        geofencePendingIntent = PendingIntent.getService(this, 0, intent, PendingIntent.FLAG_UPDATE_CURRENT);

        // 请求地理围栏更新
        if (