题目

如下图所示，在四边形ABCD中，点E是BC的中点，点F是CD的中点，且AE⊥BC，AF⊥CD       （1）求证：AB＝AD     （2）请你探究∠EAF、∠BAE、∠DAF之间存在怎样的数量关系?并证明你的结论。 答案：（1）（6分）提示：可连接AC，借助垂直平分线上的点到线段的两端点的距离相等来证明（方法不唯一）  （2）（6分）∠EAF=∠BAE+∠DAF证明略To: "The Shoe People" <inquiries@shoepeople.com>From: "John Trimbald" <jtconstruction@img.com>Subject: Customer ComplaintTo Whom it May Concern,I have trusted the Shoe People to protect the feet of my employees for over ten years now. I recently purchased a few pairs of boots from your company for my crew. Though my men were initially satisfied with the boots, the soles began to fall apart on them after just twelve weeks. This was extremely surprising considering they came with a six year warranty. The boots are unsafe to wear because my men are pouring hot concrete. Please respond as soon as possible with instructions on how I can return the boots and receive a refund.Thank you,John Trimbald, Foreman, JT ConstructionTo: “John Trimbald” <jtconstruction @ img. com>From: “The Shoe People” <inquiries @ shoepeople. com>Dear Mr. Trimbald,Thank you for your e-mail concerning the poor quality of our rubber soled black workboots. A representative will be by your office next week to pick up the damaged boots. We apologize for any inconvenience this has caused you and your crew. Along with five new pairs of workboots for your crew (we included one extra pair), we have enclosed a free year's supply of sole protector spray. In our retail stores, this spray is always recommended to buyers who work on heated floors. This should have been brought to your attention at the time of your initial order. Please excuse our oversight. To date we have had no complaints about these workboots from customers who have used the protector spray. However, should you use the spray and find that you are still unsatisfied with the boots, please return the boots and spray for a full refund. Thank you for supporting The Shoe People. Have a Happy New Year.Sincerely,Stan Mason, President【小题1】The first email is basically an email of        .A．apologyB．sympathyC．appreciationD．complaint【小题2】What’s wrong with the boots John Trimbald bought?A．The soles of the boots began to fall apart.B．The color of the boots had shaded a lot.C．The boots didn’t fit the workers well.D．The patterns of the boots didn’t satisfy the workers.【小题3】What is the underlined word “spray” used for according to the passage?A．To repair the damaged boots.B．To protect the soles from heat.C．To prevent the crew from danger.D．To protect the boots from concrete.【小题4】According to the president of The Shoe People, John Trimbald        .A．can exchange the damaged boots with new ones at any timeB．must return the damaged boots to any of the retail storesC．will get new pairs of boots and a free year’s supply of sprayD．can return the damaged boots and spray for a full refund now