题目

阅读下面材料, 根据其内容和所给段落开头语续写两段, 使之构成一篇完整的短文。续写的词数应为150左右。 For many years, I had a recurring (重复出现的) dream. I was a little girl again, rushing about, trying to getready for school. Hurry,you'll be late for school, my mother called to me. Iam hurrying, Mom! What did I do with my books？ Deep inside I knew where the dream camefrom. It was about some unfinished business in my life. As a kid, I lovedeverything about school. I loved books, teachers, tests and homework. Most ofall I longed to someday ma如图，OA⊥OB于O，射线OM平分∠AOB．（1）从点O引射线OC，使∠BOC=30°，射线ON平分∠BOC．请你补全图形，再直接写出∠MON的度数．（2）若OA与OB不垂直，∠AOB=α°，∠BOC=β°，其它条件不变，请你直接写出∠MON的度数．（3）由上面的计算，你发现∠MON与∠AOC有怎样的数量关系？请你直接写出来．（4）线段与角的很多知识都可用类比的数学思想进行学习，请你类比上面的第（1）-（3）问设计一道以线段为背景的计算题（不需解答），并写出其中的规律．