Android LocationServices.checkLocationSettings方法是用来检查设备是否启用了位置服务。然而，它有一些局限性，可能会导致返回假负结果（即设备实际上启用了位置服务，但该方法返回错误结果）。

以下是避免出现false negative结果的建议：

1. 使用最新的Google Play服务库。

2. 在调用LocationServices.checkLocationSettings方法之前，确保已经请求了相应的位置权限。

3. 检查设备的位置设置并确保它们符合您的应用程序的要求。您可以使用LocationRequest对象来指定应用程序的位置精度要求和更新频率。

以下是使用LocationRequest对象的示例代码：

LocationRequest locationRequest = LocationRequest.create();
locationRequest.setPriority(LocationRequest.PRIORITY_HIGH_ACCURACY);
locationRequest.setInterval(10000); // 10 seconds
locationRequest.setFastestInterval(5000); // 5 seconds

LocationSettingsRequest.Builder builder = new LocationSettingsRequest.Builder()
    .addLocationRequest(locationRequest);
builder.setAlwaysShow(true); // Show dialog if location services are not enabled

PendingResult result =
    LocationServices.SettingsApi.checkLocationSettings(mGoogleApiClient,
        builder.build());

result.setResultCallback(new ResultCallback() {
    @Override
    public void onResult(LocationSettingsResult result) {
        final Status status = result.getStatus();
        switch (status.getStatusCode()) {
            case LocationSettingsStatusCodes.SUCCESS:
                // All location settings are satisfied. The client can initialize location
                // requests here.
                break;
            case LocationSettingsStatusCodes.RESOLUTION_REQUIRED:
                // Location settings are not satisfied. But could be fixed by showing the user
                // a dialog.
                try {
                    // Show the dialog by calling startResolutionForResult(),
                    // and check the result in onActivityResult().
                    status.startResolutionForResult(
                        MainActivity.this,
                        REQUEST_CHECK_SETTINGS);
                } catch (IntentSender.SendIntentException e) {
                    // Ignore the error.
                }
                break;
            case LocationSettingsStatusCodes.SETTINGS_CHANGE_UNAVAILABLE:
                // Location settings are not satisfied. However, we