题干

已知:如图,点E是正方形ABCD的边CD上一点,点F是CB的延长线上一点,且EA⊥AF.求证:DE=BF.

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答案(点此获取答案解析)

∵∠FAB+∠BAE=90°,∠DAE+∠BAE=90°,

∴∠FAB=∠DAE,

∵∠AB=AD,∠ABF=∠ADE,

∴△AFB≌△ADE,

∴DE=BF.

同类题3

阅读理解

B

    “Can I take your order?”Night after night.I had to say this as l worked in my family's restaurant.My father was a fantastic cook.He wanted me to cook with him.but I didn't like cooking.Because of the restaurant, my father was always busy.He never had time to play soccer with me.

    During my high school and college years,I worked with my family at night.But I always avoided the kitchen.I couldn't wait to graduate (毕业),so I could move away from the family business(生意).Several days before my graduation day, my father and I started looking at new cars.Finally, we found the right car.I was sure that my father would give it to me as my graduation gift.

    On my graduation day, my father gave me a book as a gift.It was his old cookbook.I was so angry that I gave it back to him and ran out of the house.I soon moved away and started my own business.Although I often saw my father during holidays,we never talked about the graduation gift.Then one day, I got a call that my father was sick.I went to see him because l was very worried.

    That night, I looked through my father's books and saw the cookbook that he had given me years before.I carefully opened the cookbook and went through it.Then I found something that made me cry.It was a check(支票)for$30,000 dated(注有日期)the day of my graduation.And the price of the car my father and I chose all those years ago was $30,000.

同类题5

阅读下面的文字,完成各问。

    在中华传统文化中,“鸡文化”占有重要地位,对古人生活的影响很直接。

    鸡为什么叫“鸡”?明代李时珍《本草纲目·禽部》“鸡”条引南唐人徐核的话称:“鸡者稽也,能稽时也。”鸡守时且鸣叫准时,鸡鸣了天就快亮了,由此,古人送给鸡不少美称:夜烛、司晨鸟、知时畜、长鸣都尉等。

    鸡能啼晨,古人称之为“司晨”。鸡这一习性,对农耕时代的古人具有重要意义。《诗经》中有这样的句子“女曰鸡鸣……”:妻子说鸡打鸣了,赶紧起来千活吧。可见,先秦时人们已开始利用鸡鸣来安排作息了。国君也以“鸡鸣”为时间节点安排作息。《诗经》中的《鸡鸣》就有贤妃提醒国君早朝:“鸡既鸣矣,朝既盈矣。”周朝还专设“鸡人”掌管供办鸡牲和报时,后来宫廷中负责打更报时的人被称为“鸡人”。但古人认为母鸡打鸣是不祥之兆,会有“鸡祸”。在古代,女人干政或主政,常被称作“扎鸡司晨”。《汉书·五行志》引《易传》的话:“妇人专政,国不静;札鸡雄鸣,主不荣。”

    古人还以鸡鸣励志,现在不少人书房里都喜欢挂“闻鸡起舞”字画。《晋书·祖巡传》记载,祖邀和刘砚“共被同寝”,夜半听到鸡叫声,对刘跳说:“此非恶声也。”便踢他起来一起舞剑健身。

    鸡在古人眼里还能辟邪。《山海经·中山经》中就多次提及:“用一雄鸡,攘而勿杀”,“毛用一白鸡,祈而不粉”。古人认为,鸡是一种“阳鸟”,主管日出。唐《艺文类聚·鸟部》“鸡”条的说法更清楚:“鸡为积阳,南方之象,火阳精物。”鸡鸣带来光明,而鬼怪最不敢见光明,自然便怕鸡。还有一种说法,民间把鸡当辟邪物可能与中华人文始祖虞舜有关。东晋王嘉《拾遗记》记载,尧在位七十年,有国献重明之乌,双睛在目。这里的“重明之鸟”就是一种鸡,隐指尧的接班人舜。重明之鸟“能搏逐猛兽虎狼,使妖灾群恶不能为害”,民间过年时都期盼这种鸟能飞到自家门口,等不到它,“或刻木,或铸金,为此鸟之状,置于门户之间”。王嘉认为,民间画鸡贴门上,就是由这种遗俗变化来的。

    古人认为鸡还是一种吉祥动物。“鸡”谐音“吉”,鸡年就是“吉祥之年”。古代有一种年画,上面是啼叫的公鸡和牡丹花,有读书人的人家过年时都会张贴,取意“功(公)名(鸣)富贵”。还有一句十分喜庆的话叫“龙凤呈祥”,龙的原型是蛇,凤的原型就是鸡。凤凤的别名是鸭鸡。《尔雅·释兽》说:“鸡三尺为鹤。”传统的“龙凤呈祥”一说,事实上是“龙鸡呈祥”。

    实际上,鸡在古人心目中的形象并不比凤凰差。古人称鸡为“德禽”,西汉韩婴《韩诗外传》便有这样的说法:“君独不见夫鸡乎!首戴冠者,文也;足搏距者,武也;敌在前敢斗者,勇也;得食相告,仁也;守夜不失时,信也。”“文”“武”“勇”“仁”“信”,这些鸡的优秀品质可都是凤凰所没有的。

(摘编自《“鸡文化”对古人生活的影响》)