题目

如图，已知在△ABC中，BE、CF分别是AC、AB边上的高，在BE上截取BD = AC，在CF的延长线上截取CG = AB，连结AD、AG，则AG与AD有何关系？并证明你的结论 答案：全等三角形的判定角的余角和补角 试题解析：AG=AD，AG⊥AD     证明：∵BE、CF分别是AC、AB边上的高 ∴∠+∠ =，∠+∠ = 90º， ∴∠=∠,又∵ = ， = ， ∴△≌△(SAS)，则 = ，∠=∠, ∵∠+∠= ， ∴∠+∠ = 90º，即∠ = ， ∴⊥．根据短文理解，选择正确答案。Those who are used to looking through thousands of books in big bookstores may find Japan's Morioka Shoten a little strange. That's because this tiny bookstore that is located in Ginza, Tokyo sells only a single book at a time.Opened in May 2015, Morioka Shoten is the brainchild of Yoshiyuki Morioka. The experienced bookseller began his career as a bookstore clerk in Tokyo's Kanda district before branching out to open his own store. It was here while organizing book readings that he realized that customers usually came into the store with one title in mind. Morioka began to wonder if a store could exist by selling many copies of just one single book. In November 2014, he partnered with his two friends, to establish a unique bookstore with the idea of “A Single Room, A Single Book.”Like its offering, the bookstore is simple. The selections that are picked by Morioka change weekly and vary widely to attract customers with different interests. Recent choices include The True Deceiver, an award-winning Swedish novel by Tove Jansson, Hans Christian Andersen's Fairy Tales, and a collection of artist Karl Blossfeldt's photography of plants. Morioka has also chosen books written by famous Japanese authors Mimei Ogawa and Akito Akagi.To highlight his only offering, Morioka often uses clever methods. For example，when selling a book about flowers, he decorated his shop with the ones that had been mentioned in the book. He also encourages authors to hold talks and discussions so they can connect with customers. Morioka says his goal is for the customers to experience being inside a book, not just a bookstore!Risky as the idea might seem, things appear to be going well. Morioka says he has sold over 2,100 books since he opened it. Things can get better considering that his bookstore is becoming increasingly popular not just among the locals but also visitors from other countries.（1）What inspired Morioka to open such a bookstore?A.A Swedish novelB.His present partnerC.A bookstore clerkD.His working experience（2）Why is Morioka Shoten unique?A.It is popular with foreigners.B.It sells books of different topics.C.It is decorated with colorful flowers.D.It sells various copies of a book in a week.（3）Why does Morioka encourage authors to hold talks?A.To introduce his bookstore.B.To advocate his philosophy.C.To make books better understood.D.To help readers connect with each other.（4）What's the author's opinion about the bookstore's future?A.RiskyB.OptimisticC.UnpredictableD.Hopeless