I would rather stay at home than go shopping. I would stay at home rather than going shopping. I prefer staying at home to going shopping. I prefer to stay at home than go shopping
都表示宁愿做 不愿做,但是却有区别的 1. would rather·····than 后面都接动词原形 would rather do than do I would rather stay at home than go shopping. 2. would···· rather than would后面接原形,rather than 后面接分词形式