题干

已知:如图,E,F是▱ABCD的对角线AC上的两点,BE∥DF,求证:AF=CE.

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答案(点此获取答案解析)

证明:在平行四边形ABCD中,

∵AD∥BC,AD=BC,

∴∠ACB=∠CAD.

又∵BE∥DF,

∴∠BEC=∠DFA,

在△BEC与△DFA中, {∠ACB

同类题4

阅读下面的文言文,完成小题

    陶渊明,字元亮。或云潜,字渊明。浔阳柴桑人也。曾祖侃,晋大司马。渊明少有高趣,博学,善属文;颖脱不群,任真自得。尝著《五柳先生传》以自况,时人谓之实录。

    家贫亲老,起为州祭酒;不堪吏职,少日自解归。州召主簿,不就。躬耕自资,遂抱羸疾。江州刺史檀道济往候之,道济谓曰:“贤者处世,天下无道则隐,有道则至;今子生文明之世,奈何自苦如此?”对曰:“潜也何敢望贤,志不及也。”道济馈以粱肉,麾而去之。

    后为镇军、建威参军,谓亲朋曰:“聊欲弦歌以为三径之资,可乎?”执事者闻之,以为彭泽令。不以家累自随,送一力给其子,书曰:“汝旦夕之费,自给为难,今遣此力,助汝薪水之劳。此亦人子也,可善遇之。”公田悉令吏种秫①,曰:“吾常得醉于酒足矣!”妻子固请种粳②,乃使二顷五十亩种秫,五十亩种粳。岁终,会郡遣督邮至,县吏请曰:“应束带见之。”渊明叹曰:“我岂能为五斗米,折腰向乡里小儿!”即日解绶去职,赋《归去来》。征著作郎,不就。

    颜延之为刘柳后军功曹,在当阳与渊明情款,后为始安郡,经过浔阳,日造渊明饮焉。每往,必酣饮致醉。江州司马王弘欲要延之坐,弥日不得。延之临去,留二万钱与渊明;渊明悉遣送酒家,稍就取酒。尝九月九日出宅边菊丛中坐,久之,满手把菊,忽值弘送酒至;即便就酌,醉而归。渊明不解音律,而蓄无弦琴一张,每适酒,辄抚弄以寄其意。贵贱造之者,有酒辄设。渊明若先醉,便语客:“我醉欲眠,卿可去!”其真率如此。郡将尝候之,值其酿熟,取头上葛巾漉酒,漉毕,还复著之。(《晋书·陶渊明传》)

【注】①秫:高粱,可酿酒。粳:谷米。

同类题5

Complete the following passage with the words or phrases in the box. Each can be used only once. (将下列单词或词组填入空格。每空格限填一词,每词只能填一次)

A) youngest     B) professional     C) likely     D) grows up      E) won

    Each year, the news magazine Time For Kids selects several young people to serve as TFK kid reporters. These kids are not____ reporters, but they still have to interview some important people.

    Martin, who lives in New York, is a computer buff, plays the piano, and wants to be an airline pilot when he ____. When he got the assignment from TFK to interview Andrew Hsu, he wanted to talk about science. After all, Andrew had just become the____ winner of the Washington State Science and Engineering Fair. The 11-year-old scientist ____ the grand prize for identifying a particular genes that plays an important role in keeping the human body healthy.

F) free      G) meet      H) receive      I) also      J) improving

    Martin soon discovered that being a science whiz is just one of Andrew's achievements. He's ____an athlete who competes in swimming. But the main thing Andrew wanted to tell Martin about was the World Children Organization (WCO). Andrew started this organization along with his brother Patrick. This project is meant to help improve the lives of children.

    Andrew and Patrick believe that____education is the best way they can make a positive difference for children. They know that there are places where a ____education isn't available to kids. To help____that need, Andrew and Patrick had the idea of producing videos about science, math, and languages for children in countries where there aren't enough qualified teachers.