已知，如图1，在 中，点 是 中点，连接 并延长，交 的延长线于点 ．
（1）求证： ；
（2）如图2，点 是边 上任意一点（点 不与点 、 重合），连接 交 于点 ，连接 ，过点 作 ，交 于点 ．
①求证： ；
②当点 是边 中点时，恰有 为正整数），求 的值．
Jack is good, hard-working and intelligent. _____, I can’t speak too highly of him.
| A．In a word | B．As a result | C．In other words | D．Above all |
It is common in ______ that people in _____ fifties are going to university for further education.
| A．90s; the | B．the 1990s; / | C．90s; their | D．the 1990s; their |
假设你是李华。你澳大利亚的笔友John计划在2月18日至24日来北京旅游，希望你帮他安排旅游期间的住宿
以及活动内容，请根据以下内容给他回一封100词左右的信。信的开头及结尾已为你写好。
1．可以住你家，你哥哥恰好此期间外出。
2．主要活动内容：长城(一天)，北海公园和你的学校(一天)，故宫和天安门(一天)，购物或做其他(一天)。
3．可去机场迎接，希望告知抵达时间和航班。
注意：
词数100左右；
可以适当增加细节，以使行文连贯；
开头及结尾已为你写好，不计入总次数。
参考词汇：颐和园：the Summer Palace故宫：the Forbidden City
Dear John，
I’m so glad to know that you are coming to Beijing．
Yours truly，
Li Hua
假定英语课上老师要求同桌之间交换修改作文，请你修改你同桌写的以下作
文。文中共有10处语言错误，每句中最多有两处。错误涉及一个单词的增加、删除
或修改。
增加：在缺词处加一个漏字符号(∧)，并在其下面写出该加的词。
删除：把多余的词用(＼)划掉。
修改：在错的词下划一横线，并在该词下面写出修改后的词。
注意：
1．每处错误及其修改仅限一词；
2．只允许修改10处，多者(从第11处起)不计分。
Dear Jerry，
I’m glad to know that you had an interest in Chinese food．Here I’d like to tell you something about them．Chinese food is famous with its wide variety．The food in one area can be easy told from that in another．For example，Shanghai food，a little sweet，are different from Sichuan food that is rather hot．However，every kind of Chinese food is worth tried because each has a delicious taste and good for health．Since the restaurant in China usually serves special dish of different areas，you can enjoy various Chinese foods whenever you are．I’m looking forward to meet you here so that I can tell you more about Chinese food at table．
Best wishes．
Jin
根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。选项中有两项为多项选项。
Being organized is an important skill for school and life．When you’re well organized，you can stay focused，instead of spending time hunting things down．For schoolwork，it means having one notebook or place where you store all your assignments，so you know what you have to do and when．Keeping labeled folders(贴有标签的文件夹)for handouts(课堂讲义)and keeping all your school work neat and in a specific place--these are the main parts of organization．
For home stuff，being organized means having a place to put your things and putting them back as you go．It means keeping your schoolbag，your shoes，and your clean underwear in the same places so you always know where to find them．
Planning is part of being organized，too．Calendars，lists，and schedules can help you plan．You can buy or draw a calendar and keep it near your workplace．Making a schedule or “to-do” list for yourself is a good idea．Looking at your list helps you keep track of what you need to do．
Check off things when you’ve done them．Use your list to help you decide which thing is the most important to work on first．
But once you’re organized，it feels great．The less time you spend hunting around for things or panicking about homework，the more time you have for better things，like reading a good book or playing．
| A．Planning means deciding what you will do and when you will do it． |
| B．First，you should get your schoolwork organized． |
| C．Add new things as you get assignments． |
| D．You will benefit a lot from a good habit． |
E．What does it mean to be organized?
F．It takes some extra efforts to organize yourself and your stuff．
G．It means hanging your coat up instead of dropping it on the floor or throwing
it on a chair．
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