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good news,bad news in the cold morning,i found two news from my feeling。one is good and the other is bad。good is i have no lesson today。i'm free all the day。the bad news is i'm free because i'm ill。

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good news,bad news

in the cold morning,i found two news from my feeling。one is good and the other is bad。good is i have no lesson today。i'm free all the day。the bad news is i'm free because i'm ill。

I’d say it this way:
 
This cold morning I have two bits of news regarding the way that I feel. One is good, the other bad.  The good news is that I have no class today. I’m off all day. The bad news is that I’m off because I’m sick (or:ill).
 
My feelings refers to my emotions.  The way that I feel refers to my health.

News is not a count noun so we have to say something like, an item of news (or: a news item) or a bit of news or some news.  Some news is very common -I have some news for you.
 
All day is an idiom, that it it doesn’t change its form, so we don’t need a the.

Sick and ill have the same meaning.  Sick is more informal and more common.

I'm off is a very common expression, meaning I'm free.

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