实现TabLayout的onSaveInstanceState和onRestoreInstanceState方法。

首先，在Activity的onCreate方法中，使用ViewPager创建TabLayout和Adapter。

ViewPager viewPager = findViewById(R.id.view_pager);
TabLayout tabLayout = findViewById(R.id.tab_layout);
viewPager.setAdapter(new ViewPagerAdapter(getSupportFragmentManager()));
tabLayout.setupWithViewPager(viewPager);

然后在Activity中实现onSaveInstanceState和onRestoreInstanceState方法，保存和恢复选定的标签。

private int mCurrentSelectedTabPosition = 0;

@Override
protected void onSaveInstanceState(@NonNull Bundle outState) {
    super.onSaveInstanceState(outState);
    outState.putInt("current_tab_position", mCurrentSelectedTabPosition);
}

@Override
protected void onRestoreInstanceState(@NonNull Bundle savedInstanceState) {
    super.onRestoreInstanceState(savedInstanceState);
    mCurrentSelectedTabPosition = savedInstanceState.getInt("current_tab_position");
    tabLayout.getTabAt(mCurrentSelectedTabPosition).select();
}

最后，在ViewPager适配器中，重写getItemPosition方法，确保在屏幕方向改变时返回POSITION_NONE。

class ViewPagerAdapter extends FragmentPagerAdapter {

    // ... constructor and other methods ...

    @Override
    public int getItemPosition(@NonNull Object object) {
        // Ensure that POSITION_NONE is returned for fragments that need to be recreated
        return POSITION_NONE;
    }
}

这样，每次屏幕方向改变时，ViewPager和TabLayout都会被重新创建，而保存和恢复的标签位置也会被正确地切换。