请解析一下以下着这句的look为什么要用looking?

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• 请解析一下以下着这句的look为什么要用looking?Jack went into the house looking for my purse.加了ing作什么语态?
• 逻辑主语 非谓语动词Jenny hopes that Mr.Smith will suggest a good way to have her written English improved in a short period.这句话的逻辑主语是什么?为什么要用improved?His being late again made the teacher very angry.Arriving at a strange-looking house,he showed me into a large ,bright,clean room.Astonished at the amount of work in the new timetable,Lucy decided to leave her job immediately.以上三句话能帮我解析一下吗,到底什么时候用现在分词,什么时候用过去分词呢?
• 请解析一下以下着这句的look为什么要用looking?
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