危险权限：

单个权限申请

if (ContextCompat.checkSelfPermission(this, Manifest.permission.READ_CONTACTS) != PackageManager.PERMISSION_GRANTED) {
            ActivityCompat.requestPermissions(this, new String[]{ Manifest.permission.READ_CONTACTS }, 1);
        } else {
            readContacts();
        }
}

重写

@Override
    public void onRequestPermissionsResult(int requestCode, String[] permissions, int[] grantResults) {
        switch (requestCode) {
            case 1:
                if (grantResults.length > 0 && grantResults[0] == PackageManager.PERMISSION_GRANTED) {
                    readContacts();
                } else {
                    Toast.makeText(this, "You denied the permission", Toast.LENGTH_SHORT).show();
                }
                break;
            default:
        }
    }

多个权限：
//定义权限数组

public static int authBaseRequestCode = 100;
public  final String[] authBaseArr = {
            Manifest.permission.WRITE_EXTERNAL_STORAGE,
            Manifest.permission.ACCESS_FINE_LOCATION
    };

//检查权限

public boolean hasBasePhoneAuth() {
        PackageManager pm =this.getPackageManager();
        for (String auth : authBaseArr) {
            if (pm.checkPermission(auth, this.getPackageName()) != PackageManager.PERMISSION_GRANTED) {
                return false;
            }
        }
        return true;
    }

//申请

public void requestPermission(){
		if (android.os.Build.VERSION.SDK_INT >= 23) {
			if (!hasBasePhoneAuth()) {
				this.requestPermissions(authBaseArr, authBaseRequestCode);
				return;
			}
		}
	}

//重写onRequestPermissionsResult

@Override
    public void onRequestPermissionsResult(int requestCode, String[] permissions, int[] grantResults) {
        super.onRequestPermissionsResult(requestCode, permissions, grantResults);
        if (requestCode == authBaseRequestCode) {
            for (int ret : grantResults) {
                Log.d("tag",grantResults.toString());
                if (ret == 0) {
                    continue;
                } else {
                    Toast.makeText(this, "缺少基本的权限!", Toast.LENGTH_SHORT).show();
                    return;
                }
            }
            initNavi();
        }
    }