要解决Android地理围栏未能在没有位置服务触发的情况下自动触发的问题，你可以使用Google Play服务的Fused Location Provider API来检查设备的位置服务是否可用。以下是一个示例代码，可以帮助你处理这个问题：

import android.Manifest;
import android.content.Context;
import android.content.Intent;
import android.content.pm.PackageManager;
import android.location.LocationManager;
import android.os.Bundle;
import android.provider.Settings;
import android.support.annotation.NonNull;
import android.support.annotation.Nullable;
import android.support.v4.app.ActivityCompat;
import android.support.v7.app.AppCompatActivity;
import android.widget.Toast;

import com.google.android.gms.common.ConnectionResult;
import com.google.android.gms.common.GoogleApiAvailability;
import com.google.android.gms.location.Geofence;
import com.google.android.gms.location.GeofencingClient;
import com.google.android.gms.location.GeofencingRequest;
import com.google.android.gms.location.LocationServices;
import com.google.android.gms.tasks.OnFailureListener;
import com.google.android.gms.tasks.OnSuccessListener;
import com.google.android.gms.tasks.Task;

public class MainActivity extends AppCompatActivity {

    private static final int LOCATION_PERMISSION_REQUEST_CODE = 1;
    private static final int GOOGLE_PLAY_SERVICES_REQUEST_CODE = 2;

    private GeofencingClient geofencingClient;

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

        // 初始化GeofencingClient
        geofencingClient = LocationServices.getGeofencingClient(this);

        // 检查Google Play服务是否可用
        if (isGooglePlayServicesAvailable()) {
            // 检查设备的位置服务是否已启用
            if (isLocationServicesEnabled()) {
                // 检查位置权限是否已授予
                if (isLocationPermissionGranted()) {
                    // 开始添加地理围栏
                    addGeofence();
                } else {
                    // 请求位置权限
                    requestLocationPermission();
                }
            } else {
                // 打开位置设置界面
                openLocationSettings();
            }
        } else {
            // 提示用户安装或更新Google Play服务
            Toast.makeText(this, "请安装或更新Google Play服务", Toast.LENGTH_SHORT).show();
        }
    }

    private boolean isGooglePlayServicesAvailable() {
        GoogleApiAvailability googleApiAvailability = GoogleApiAvailability.getInstance();
        int resultCode = googleApiAvailability.isGooglePlayServicesAvailable(this);
        return resultCode == ConnectionResult.SUCCESS;
    }

    private boolean isLocationServicesEnabled() {
        LocationManager locationManager = (LocationManager) getSystemService(Context.LOCATION_SERVICE);
        return locationManager.isProviderEnabled(LocationManager.GPS_PROVIDER) ||
                locationManager.isProviderEnabled(LocationManager.NETWORK_PROVIDER);
    }

    private boolean isLocationPermissionGranted() {
        return ActivityCompat.checkSelfPermission(this, Manifest.permission.ACCESS_FINE_LOCATION) == PackageManager.PERMISSION_GRANTED;
    }

    private void requestLocationPermission() {
        ActivityCompat.requestPermissions(this, new String[]{Manifest.permission.ACCESS_FINE_LOCATION}, LOCATION_PERMISSION_REQUEST_CODE);
    }

    private void openLocationSettings() {
        Intent intent = new Intent(Settings.ACTION_LOCATION_SOURCE_SETTINGS);
        startActivity(intent);
    }

    private void addGeofence() {
        // 创建一个Geofence对象
        Geofence geofence = new Geofence.Builder()
                .setRequestId("geofence_id")
                .setCircularRegion(37.422, -122.084, 100) // 设置围栏的中心点和半径
                .setExpirationDuration(Geofence.NEVER_EXPIRE) // 围栏永不过期
                .setTransitionTypes(Geofence.GEOFENCE_TRANSITION_ENTER | Geofence.GEOFENCE_TRANSITION_EXIT) // 设置进入和离开围栏触发事件
                .build();

        // 创建一个GeofencingRequest对象
        GeofencingRequest geofencingRequest = new GeofencingRequest.Builder()
                .addGeofence(geofence)
                .build();

        // 添加地理围栏
        Task task = geofencingClient.addGeofences(geofencingRequest, getGeofencePendingIntent());
        task.addOnSuccessListener(new OnSuccessListener() {
            @Override
            public void onSuccess(Void aVoid) {
                // 成功添加地理围栏
                Toast.makeText(MainActivity.this, "地理围栏已添加", Toast.LENGTH_SHORT).show();
            }
        });
        task.addOnFailureListener(new OnFailureListener() {
            @Override
            public void onFailure(@NonNull Exception e) {
                // 添加地理围栏失败