在使用LibGDX进行游戏开发时，可以使用ShapeRenderer类来绘制形状，然后通过与触摸事件的交互来进行形状的检测。下面是一个简单的示例代码，用于检测是否正确点击了一个矩形形状：

import com.badlogic.gdx.ApplicationAdapter;
import com.badlogic.gdx.Gdx;
import com.badlogic.gdx.InputAdapter;
import com.badlogic.gdx.graphics.GL20;
import com.badlogic.gdx.graphics.OrthographicCamera;
import com.badlogic.gdx.graphics.g2d.SpriteBatch;
import com.badlogic.gdx.graphics.glutils.ShapeRenderer;
import com.badlogic.gdx.math.Rectangle;

public class MyGame extends ApplicationAdapter {
    private OrthographicCamera camera;
    private SpriteBatch batch;
    private ShapeRenderer shapeRenderer;
    private Rectangle rectangle;

    @Override
    public void create() {
        float w = Gdx.graphics.getWidth();
        float h = Gdx.graphics.getHeight();

        camera = new OrthographicCamera(w, h);
        camera.setToOrtho(false);
        batch = new SpriteBatch();
        shapeRenderer = new ShapeRenderer();
        
        // 创建一个矩形
        rectangle = new Rectangle(100, 100, 200, 100);

        // 设置输入处理器，用于监听触摸事件
        Gdx.input.setInputProcessor(new InputAdapter() {
            @Override
            public boolean touchDown(int screenX, int screenY, int pointer, int button) {
                // 将触摸坐标转换为游戏世界坐标
                float x = screenX * camera.viewportWidth / Gdx.graphics.getWidth();
                float y = (Gdx.graphics.getHeight() - screenY) * camera.viewportHeight / Gdx.graphics.getHeight();
                
                // 检测是否点击了矩形
                if (rectangle.contains(x, y)) {
                    System.out.println("Clicked on rectangle!");
                }
                
                return true;
            }
        });
    }

    @Override
    public void render() {
        // 清除屏幕
        Gdx.gl.glClearColor(1, 1, 1, 1);
        Gdx.gl.glClear(GL20.GL_COLOR_BUFFER_BIT);

        // 绘制矩形
        shapeRenderer.setProjectionMatrix(camera.combined);
        shapeRenderer.begin(ShapeRenderer.ShapeType.Filled);
        shapeRenderer.rect(rectangle.x, rectangle.y, rectangle.width, rectangle.height);
        shapeRenderer.end();
    }
}

上面的代码创建了一个简单的游戏场景，绘制了一个矩形形状，并通过监听触摸事件来检测是否正确点击了该矩形。当点击矩形区域时，会输出"Clicked on rectangle!"的信息。

请注意，这只是一个简单示例，你可以根据实际需要进行扩展和修改。