我们首先需要在FragmentManager中为每个Fragment创建一个tag，然后在Activity中为每个tag创建相应的RecyclerView。在Fragment中，我们可以通过onAttach和onDetach方法来获取Activity中相应的RecyclerView，并根据需要执行不同的操作。

下面是一个示例代码：

MainActivity.java

public class MainActivity extends AppCompatActivity {
    
    private RecyclerView fragment1RecyclerView;
    private RecyclerView fragment2RecyclerView;

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

        // 获取各个Fragment的tag
        String tag1 = "fragment1";
        String tag2 = "fragment2";

        // 创建RecyclerView
        fragment1RecyclerView = findViewById(R.id.fragment1RecyclerView);
        fragment2RecyclerView = findViewById(R.id.fragment2RecyclerView);

        // 将RecyclerView添加到FragmentManager中
        FragmentManager fm = getSupportFragmentManager();
        FragmentTransaction ft = fm.beginTransaction();
        Fragment1 fragment1 = new Fragment1();
        Fragment2 fragment2 = new Fragment2();
        ft.add(R.id.fragmentContainer, fragment1, tag1);
        ft.add(R.id.fragmentContainer, fragment2, tag2);
        ft.commit();
    }

    // 通过tag获取对应的RecyclerView
    public RecyclerView getRecyclerView(String tag) {
        if (tag.equals("fragment1")) {
            return fragment1RecyclerView;
        } else if (tag.equals("fragment2")) {
            return fragment2RecyclerView;
        }
        return null;
    }
}

Fragment1.java

public class Fragment1 extends Fragment {

    private RecyclerView recyclerView;

    @Nullable
    @Override
    public View onCreateView(@NonNull LayoutInflater inflater, @Nullable ViewGroup container, @Nullable Bundle savedInstanceState) {
        View view = inflater.inflate(R.layout.fragment1, container, false);
        recyclerView = ((MainActivity) getActivity()).getRecyclerView("fragment1");
        // 在这里执行Fragment1需要的操作
        return view;
    }

    @Override
    public void onDetach() {
        super.onDetach();
        recyclerView = null;
    }
}

Fragment2.java

public class Fragment2 extends Fragment {

    private RecyclerView recyclerView;

    @Nullable
    @Override
    public View onCreateView(@NonNull LayoutInflater inflater,