题干

如图,在△ABC中,AD是△ABC的中线,分别过点B、C作AD及其延长线的垂线BE、CF,垂足分别为点E、F.

求证:BE=CF.

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答案(点此获取答案解析)

解:∵BE⊥AE,CF⊥AE,

∴∠BED=∠CFD=90°,

在△BED和△CFD中,

∠BED=∠CFD=

同类题4

阅读下面材料,从每题所给的A、B、C、D四个选项中选出最佳选项。

C

    One little miracle (奇迹) has been happening to me recently, and it gives me a special joy.

    A few months ago, I was telling my daughter, Sally, some stories about my mother. My daughter was so young when my mother died that she doesn't remember her well. I told her all I could remember, like how wonderful my mother was and how much she meant to me.

    One day, Sally was sad because her grandmother was in heaven (天堂) and she couldn't see her. I explained that though her grandmother was dead, now she was still watching over us and could send us something to let us know she was there. She could be anywhere, even riding invisibly (看不见地) on the back of a butterfly (蝴蝶). Just after I said this, a butterfly flew down right by us, and we laughed happily.

    Now many people would say it was just luck that the butterfly flew down at that time. A funny thing, however, has happened since then. Every time I go out in any type of weather I see butterflies. Very often they fly right by my face to get my attention. I always say hi to Mom, send her my love, and thank God for little miracles.

    Everyone is always looking for some big miracles to come out and save them when they are in trouble, but they don't notice the little miracles that happen every day right in front of their eyes. I know what they really are, however. For me little miracles are the best kind. So many little miracles happen around me all the time that I know they are not just luck.

同类题5

名人信件和日记能够反映时代风貌,下列材料反映了20世纪二三十年代美苏两国在经济发展和国家建设方面的探索和调整。
材料一:1933年富兰克林·罗斯福就任美国总统,不久,英国经济学家凯恩斯专门给他写了一封信,在信中他对罗斯福说:“您已经成为各国力求在现行制度范围内运用明智试验以纠正我们社会弊病的人们的委托人。”
材料二:1935年,法国文学大师罗曼·罗兰应邀访问苏联,后来他写信给斯大林说:“我看到了一个强大的国家,整个国家在布尔什维克领导下跟千百种障碍做不断的斗争,在英勇而秩序井然的高潮中,正在建设一个新世界。”罗曼·罗兰还根据他在苏联的见闻撰写了《莫斯科日记》,在日记中,他写道:“目前这些政策包含着某种消极的东西,这是不可避免的;我丝毫不怀疑,世界更美好的未来是与苏联的胜利连在一起的。”
——以上材料摘编自电视纪录片《大国崛起》解说词
阅读材料并结合所学知识,回答下列问题:
(1)材料一中的“明智试验”是指美国历史上哪次著名改革?此项改革与以往的资本主义经济政策相比有何显著特征?该改革对当时的美国和其他资本主义国家有何影响?
(2)依据材料二并从经济的角度看,20世纪30年代中后期,苏联“正在建设一个新世界”取得了怎样的成就?罗曼·罗兰认为苏联“目前这些政策包含着某种消极的东西”有何具体表现?
(3)根据材料一、材料二并结合所学,分析美苏两国在经济发展道路上的得与失对当代中国的经济建设有何启示?