题干

(2015•衢州)数学课上,老师让学生尺规作图画Rt△ABC,使其斜边AB=c,一条直角边BC=a.小明的作法如图所示,你认为这种作法中判断∠ACB是直角的依据是(   )

A:勾股定理

B:直径所对的圆周角是直角

C:勾股定理的逆定理

D:90°的圆周角所对的弦是直径

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B

同类题1

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    赵憙字伯阳,南阳宛人也。少有节操。从兄为人所杀,无子,憙年十五,常思报之。乃挟兵结客,后遂往复仇。而仇家皆疾病,无相距者。憙以因疾报杀,非仁者心,且释之而去。顾谓仇曰:“尔曹若健,远相避也。”更始即位舞阴大姓李氏拥城不下更始遣柱天将军李宝降之不肯云闻宛之赵氏有孤孙憙信义著名愿得降之更始乃征憙。憙年未二十,既引见,即除为郎中,行偏将军事,使诣舞阴,而李氏遂降。光武破寻、邑,憙被创,有战劳,还拜中郎将,封勇功侯。邓奉反于南阳,憙素与奉善,数遗书切责之,而谗者因方憙与奉合谋,帝以为疑。及奉败,帝得憙书,乃惊曰:“赵憙真长者也。”后拜怀令。大姓李子春先为琅邪相,豪猾并兼,为人所患。憙下车,闻其二孙杀人事未发觉,即穷诘其奸,收考子春,二孙自杀。京师为请者数十,终不听。时赵王良疾病将终,车驾亲临王,问所欲言。王曰:“素与李子春厚,今犯罪,怀令赵憙欲杀之,愿乞其命。”帝曰:“吏奉法,律不可枉也,更道它所欲。”王无复言。其年,迁憙平原太守。时平原多盗贼,憙与诸郡讨捕,斩其渠帅,余党当坐者数千人。憙上言:“恶恶止其身,可一切徙京师近郡。”帝从之,乃悉移置颍川、陈留。于是擢举义行,诛锄奸恶。后青州大蝗,侵入平原界辄死,岁屡有年,百姓歌之。二十七年,拜太尉,赐爵关内侯。时南单于称臣,乌桓、鲜插并来入朝,帝令憙典边事,思为久长规。建初五年,憙疾病,帝亲幸视。及薨,车驾往临吊。时年八十四。谥曰正侯。(节选自《后汉书·赵憙传》)

同类题4

短文综合填空。

    Do you know what American students have to do in their school? In America, at the beginning of the term, students must choose their c____ and teachers first. While in China students usually have no chances(机会)to choose.

    C____ is very important for your grades in America. So at the first term, don't choose too many courses, o____ you'll feel very nervous and it may influence your study. Then you have to ask for some teaching plans. There is some information about subjects, time arranging (安排), marks and t____. At the same time, you must choose the teachers. Different teachers have d____ teaching ways. If the teacher is called "killer" by the last grade, many students will give up choosing him. Because this kind of teacher will leave too m____ homework, too many exams and give too low grades.

    There is a____ thing after you choose the courses and the teachers. It is hard for each student to buy textbooks. The textbooks in America are very e____. Each copy is about $30~50. In order to save money, many students buy some used textbooks, and some students usually borrow textbooks f____ the school library. You must get ready before classes. In class, discussing is very important. The teachers e____ you to raise questions or show your own opinions. They don't usually ask you to sit well. I____, they allow you to sit or stand everywhere you like. They don't give you much homework to do. You can learn some knowledge and do exercises by yourself.