题目

如图，在△ABC中，点D在△ABC的内部且DB=DC，点E，F在△ABC的外部，FB=FA，EA=EC，∠FBA=∠DBC=∠ECA． （1） ①填空：△ACE∽∽； （2） 求证：△FBD≌△EDC； （3） 若点D在∠BAC的平分线上，判断四边形AFDE的形状，并说明理由． 答案：【1】△ABF【2】△BCD②求证：△CDE∽△CBA；证明：由①知，△ACE∽△BCD，∴ CECD=CACB ，即 CECA=CDCB ，∵∠ECA=∠DCB，∴∠ECD=∠ACB，∴△CDE∽△CBA； 证明：∵△CDE∽△CBA，∴∠ABC=∠EDC，∵∠ABC=∠FBD，∴∠EDC=∠FBD，同理△BFD∽△BAC，∴∠FDB=∠ACB，∵∠ACB=∠ECD，∴∠FDB=∠ACB，在△FBD与△EDC中 {∠FDB=∠ECDBD=CDWhen my mom and dad said that we could adopt a couple of cats，I jumped at the chance to have some lovely animals around the house. So we went to the Humane Society where there were a lot of animals up for adoption. The first thing I noticed was that there was not a lot of room for the animals and not a lot of supplies to care for them. Even though they didn’t have much，the people who worked there tried to care about the animals. Still，it seemed they had no enough food and medicine to keep the animals healthy.My family and I finally decided to adopt two cats we named Sox and Sierra. We went up to the front desk to sign the papers for them，and that’s when I noticed a box on the counter. The Humane Society was hoping to get enough donations to buy more supplies for the animals and also build a new building to help more animals.Later that day my mom and I went shopping，and as we were walking through the parking lot at the store，I noticed a green piece of paper not far from our car. It was kind of wet，but it looked like it could be a dollar bill，so I walked over and picked it up. It wasn’t a dollar bill－it was a twenty-dollar bill!When I got home，I dried it off and thought about what to do with it. I considered spending it on a toy and a lot of other things. Right then，Sox climbed up onto my lap，and I knew what I was going to do with the money.I asked my mom to take me back to the Humane Society so that I could put the money in the donation box. The lady at the counter thanked me，and I felt really good about what I did.【1】When knowing they would have a couple of cats，the author felt ________.A．annoyed B．excitedC．angry D．astonished【2】What can we know from the first paragraph?A．How wealthy the writer’s family was.B．How people helped the Humane Society with the money animals.C．The living conditions of the animals in the Humane Society.D．The great efforts people working in the Humane Society made.【3】Where did the author find a twenty-dollar bill?A．In the park.B．On the way back home.C．At the parking lot.D．At the gate of the Humane Society.【4】How did the author deal with the money she found?A．She spent it on some books.B．She bought some toys with it.C．She returned it to the one who lost it.D．She gave it to the Humane Society.