suggest的用法如下：
vt. 建议/提议
1) suggest sth (to sb) （向某人）建议某事
如：I'll suggest a new plan (to him).
2) suggest doing sth 建议做某事
如：He suggested going fishing this afternoon.
3) suggest sb/one's doing sth 建议某人做某事
如：You should suggest him/his giving up smoking.
4) suggest + that从句 建议.
此时要求that从句使用虚拟语气，即从句的谓语由“(should) +动词原形”构成，且should可以省略。
如：He suggested (that) she (should) go to Beijing right away.

Vt.暗示/表明
suggest + that从句 (表示此意思的时候，一般只考查这一个用法)
其宾语从句不能使用虚拟语气，而是使用陈述语气，即该用什么时态就用什么时态，只是要注意和主句suggest的时态对应即可。
如：His words suggested (that) he was unhappy.