He stayed up last night to dream up a study plan.

他昨晚熬夜构想了一个学习计划.
stay up
v.
不睡觉
How does the egg stay up?
那鸡蛋怎么立起来的呢?
How does the tower stay up?
这塔怎么会不倒呢?
They sometimes stay up all night.
他们有时整夜不睡觉.
Why did you stay up late?
为什么你要熬夜?
I shall not have stay up late.
我不该那么晚才睡.
The hovercraft can stay up without moving forward.
当你把一块木头放进水中,它浮在上面,但你把一块铁放进水里,它就沉了下去.
We tossed up whether to go or stay.
我们掷硬币决定去或不去.
Pull the ropes tight to stay the tent up.
气垫船能高高升起停留,而不向前运动.
The children wanted to stay up and watch television.
小孩子不想睡觉,还要看电视.
The child can't make his trousers stay up.
那个小男孩爬上树后,弄得下也下不来了.
dream up
v.
空想出, 构思, 创造, 设计(发明物等)
比如说：
1 He could dream up the most fantastic rumors.
他能想出最怪诞的谣传.
2 Where did you dream up that fantastic rumor?
你哪里想出如此怪诞的谣传?
3 The dream picture dissolved away when she woke up.
她醒来时,梦中美景即消失了.
4 This is the most fantastic rumor one could dream up.
这是能够凭空想得出来的最荒诞的谣言.
5 She woke up in the middle of an exciting dream.
她从一场兴奋的梦境中醒来.
6 Trust you to dream up a crazy scheme like this!
亏你想得出这种异想天开的计划!
7 She can always dream up some new reason for not doing anything unpleasant.
她总是为她没能很好地完成工作而编造新的理由.