比例尺一定，图上距离和实际距离成正比例。（判断对错）

改错题：
（1）鸦片战争是中国完全沦为半殖民地半封建社会。____
（2）1900年6月，八国联军在美国海军中将西摩尔率领下由大沽向北京进犯。____
（3）生活在1910 年的晚清秀才，仍然可以参加科举考试。____
（4）1911年10月10日，孙中山被选为中华民国临时大总统，标志着中华民国的成立。____
（5）五四运动的直接原因是袁世凯的卖国。____

   Many students ask for advice about improving their English. There are three basic questions.
   The first question is about real English. Li Hao from Hubei wrote, “I enjoy watching English films and listening to real English songs. But it takes a long time. What do you think?”
   This is a great way to learn English! Talk about the film or song with your friends, and guess the meaning of the new words. Just enjoy yourself!
   The second question is about speaking. Sam, from Suzhou wrote. “Our school has a foreign teacher. But I'm shy and can’t speak to her. What should I do?”
   When I visit China, lots of people in the street say, “Hello! How are you? Where are you from? Do you like China?” These are good questions to start a talk. Many people are shy when they speak English, so before you begin, take a deep breath and smile! Smiling always helps.
   The third question is about vocabulary. Oliver, from Anhui wrote, “I want to remember all the new words. I write them down, but I forget them quickly. What should I do?”
   Try to remember eight or ten words a day. Write them on pieces of paper and place them in your bedroom. Say the words when you see them, and change them every day. And when you’re  shopping, how about counting the English words, or saying the English names for everything you see?

【问题情境】

如图，在正方形ABCD中，点E是线段BG上的动点，AE⊥EF，EF交正方形外角∠DCG的平分线CF于点F．

【探究展示】

（1）如图1，若点E是BC的中点，证明：∠BAE+∠EFC=∠DCF．

（2）如图2，若点E是BC的上的任意一点（B、C除外），∠BAE+∠EFC=∠DCF是否仍然成立？若成立，请予以证明；若不成立，请说明理由．

【拓展延伸】

（3）如图3，若点E是BC延长线（C除外）上的任意一点，求证：AE=EF．

    For five years, Claire Lomas hasn't been able to walk or feel her legs. But that hasn't1her. She was 2a professional horse rider. But in 2007, she was thrown off her horse. The3paralyzed her from the chest down. She spent all her time in a 4 at least until January, 2012. That's when she started5again, thanks to a ₤ 75, 000 bionic suit known as the Re walk.

    “It's6after five years of sitting down to be back on my7 she said, “and it's fully weight-bearing and I can walk in it as well. "The Re Walk and two canes would8her when she wanted to walk. But it's not9. Each day, when she started, she could10only 30 steps. Every11was a challenge, and because she couldn't 12 where she was standing, she 13feared falling over. She had bigger14though. Lomas decided to set out to walk the entire length of the London Marathon.

    She started, alongside 35,0001516 days ago, but today, May 8th, 2012, in the shadow of Buckingham Palace, she16—to the screams of thousands of fans who came out to support her.

    "It's a moment I'm going to17 for the rest of my life,” she told the BBC. “The support here has been so amazing—I didn't18it here like this. I couldn't believe it when I19this morning in the taxi to start, and I thought it was just a 20day in London. Someone told me they're all there for me.''