你语法是对的
had better有两种用法
一种是had better do
另一种是had better not do
For example：You had better go out for a walk.你最好出去走走
You had better go out .你最好不要出去
（You'd better = You had better ,其他人称代词也是一样）
这个我们老师经常说到的,举例子的时候参考了一下其他的网页、