suggest后接带should的宾语从句中,should后应该接did还是do?是不是suggest表示不同的意思时,后面接的形式不同?

动词suggest有如下一些用法:
一、 有"建议"的意思.advise， propose 也有此义,请比较它们用法的异同:
1) 都可接名词作宾语
She suggested / advised / proposed an early start. 她建议早一点出发.
We suggested / advised / proposed a visit to the museum the next day. 我们建议明天去参观博物馆.
2) 都可接动名词作宾语
I suggested / advised / proposed putting off the sports meet. 我建议将运动会延期.
They suggested / advised / proposed waiting until the proper time. 他们建议(我们)等到恰当的时机才行动.
3) 都可接that 宾语从句,that从句用should+动词原形,should可以省略.
She suggested / advised / proposed that the class meeting (should) not be held on Saturday. 她建议班会不要在星期六举行.
We suggested / advised / proposed that he (should) go and make an apology to his teacher. 我们建议他去向老师道歉.
4) advise 可接动词不定式复合宾语,propose 可接不定式作宾语.
I advised him to give up the foolish idea. = I suggested / proposed his / him giving up the foolish idea. 我建议他放弃那愚蠢的念头.(suggest和propose在口语里可接动名词的复合宾语).
We proposed to start early. = We proposed starting early. 我们建议早一点出发.(接不定式不用suggest和advise)
二、 有"提出"的意思.如:
He suggested a different plan to his boss. 他向老板提出了一个不同的计划.
Xiao Wang suggested a way to solve the problem. 小王提出了一个解决这个问题的办法.
三、 有"暗示、表明"的意思.其主语往往是事物,而不是人.
1)接名词或动名词作宾语.
The simple house suggested a modest income. 这座简朴的房子表明(房主的)收入并不高.
Her pale face suggested bad health. 她脸色苍白,看来身体不好.
The thought of summer suggests swimming. 一想到夏天就使人们联想到游泳.
2)接宾语从句,从句用陈述语气.如:
The decision suggested that he might bring his family. 这个决定表明他可以把家属带来.
The expression on his face suggested that he was very angry. 他脸上的表情表明他很生气.
四、 在主语从句It is suggested that... 及名词suggestion 后面表示具体建议的表语从句、同位语从句都应用should+动词原形,should可以省略.如:
It was suggested that we (should) give a performance at the party. 人们建议我们在晚会上表演节目.
His suggestion was that the debts (should) be paid off first. 他的建议是先把债务还清.
The doctors made a suggestion that the new hospital (should) not be set up on the hill. 医生们建议不要把新医院建在山上.

当然是接动词原形do了,而且很多时候should是可以省略的.
I suggest that you should do your homework first and then watch TV.
=I suggest that you do your homework first and then watch TV.

如果suggest作推测是用于虚拟语气,就用should do或do（should可省略）
如果作建议讲就是一般的宾语从句,和主句世态一致就可以了
还有should 后面是只能加动词原形的!

do 当然是do，情态动词后面接动词原型。