中考数学基础过关复习第五章三角形第1课时三角形的基本知识课件89.ppt
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1、第1课时 三角形的基本知识中考考什么1.(2017北部湾)如图,ABC中,A=60,B=40,则C等于()A.100 B.80 C.60 D.40BC2.(2017南宁良庆区模拟)一根长竹签切成四段,分别为3cm,5cm,7cm,9cm.从中任意选取三根首尾依次相接围成不同的三角形,则围成的三角形共有()A.1个 B.2个 C.3个 D.4个A3.(2017南宁江南区模拟)如图,在ABC中,D,E分别为BC上两点,且BDDEEC,则图中面积相等的三角形有()A.4对 B.5对 C.6对 D.7对C4.(2017南宁兴宁区模拟)如图所示,把一根铁丝折成图示形状后,ABDE,则BCD等于()A.D
2、+BB.B-DC.180+D-BD.180+B-DD5.(2015北海)三角形三条中线的交点叫做三角形的()A.内心 B.外心 C.中心 D.重心核心考点解读 三角形的分类1.三角形的边与角(1)三角形两边的和 第三边,三角形两边的差 第三边.(2)三角形三个内角的和等于 .(3)在同一个三角形中,小边对小角.大于小于大边对大角180 一般三角形的性质和大于固定没有2.三角形内外角关系(1)三角形的外角等于与它不相邻的两个内角的 .(2)三角形的外角 任何一个和它不相邻的内角.3.三角形的稳定性三角形形状是 的,只要三角形三边固定,三角形的形状和大小就确定不变了,三角形的这个性质叫做三角形的稳
3、定性.四边形 稳定性.温馨提示三角形的角平分线、中线、高线是线段.三角形三条中线的交点叫做三角形的重心;三条角平分线的交点叫做三角形的内心;三条高的交点叫做三角形的垂心.特别区分垂直平分线是直线不是线段.两边中点平行于一半2.三角形的中位线(1)中位线:连接三角形 的线段叫做三角形的中位线.(2)中位线定理:三角形的中位线 第三边,并且等于第三边的 .怎么考 三角形的三边关系样题1 已知三角形两边的长分别是5和8,则此三角形第三边的长可能是下列的()A.3 B.4 C.13 D.14B解析先根据三角形的三边关系求出x的取值范围,再求出符合条件的x的值即可.设此三角形第三边的长为x,则8-5x8
4、+5,即3x13.只有选项B符合题意.变式训练1.(2016河池)下列长度的三条线段不能组成三角形的是()A.5,5,10 B.4,5,6 C.4,4,4 D.3,4,5A2.下列长度的三根小木棒能构成三角形的是()A.2cm,3cm,5cm B.7cm,4cm,2cm C.3cm,4cm,8cm D.3cm,3cm,4cmD3.(2017南宁兴宁区模拟)在ABC中,三边长分别为a,b,c,且abc,若b=8,c=3,则a的取值范围是()A.3a8 B.5a11 C.6a10 D.8a11D 三角形的角的关系样题2 如图,在ABC中,CD是ACB的平分线,A=80,ACB=60,则BDC的度数
5、为 。110解析本题根据“三角形的一个外角等于和它不相邻的两个内角的和”可解决.CD是ACB的平分线,ACB=60,ACD=30.A=80,BDC=A+ACD=110.变式训练4.(2016百色)三角形的内角和等于()A.90 B.180 C.300 D.3605.(2016贵港)在ABC中,若A=95,B=40,则C的度数为()A.35 B.40 C.45 D.50BC6.(2017南宁西乡塘区模拟)如图,直线ab,一块含60角的直角三角板ABC(A=60)按如图所示放置.若1=55,则2的度数为()A.105 B.110 C.115 D.120C 三角形中重要线段的运用样题3 如图,在AB
6、C中,D,E分别是边AC,AB的中点,连接BD.若BD平分ABC,则下列结论错误的是()A.BC2BE B.AEDAC.BC2AD D.BDACC 解析根据D,E分别是边AC,AB的中点,得出DE是ABC的中位线,所以DEBC且BC=2DE;又BD平分ABC,所以CBD=DBE=BDE,所以BE=DE=AE,所以AB=2DE,所以AB=BC,则BC=2BE,A=C=EDA,BDAC.变式训练7.(2017南宁邕宁区模拟)如图,AD是ABC中BAC的角平分线,DEAB于点E,SABC=7,DE=2,AB=4,则AC长是()A.3 B.4 C.6 D.5A8.(20165来宾)如图,在ABC中,A
7、B=4,BC=6,DE、DF是ABC的中位线,则四边形BEDF的周长是()A.5 B.7 C.8 D.10D9.如图,在RtABC中,B=90,A=40,AC的垂直平分线MN与AB相交于D点,则BCD的度数是 .10补充练习一、完形填空(共15小题;每小题1分,满分15分)阅读下面短文,掌握其大意,然后从每题所给的A、B、C、D四个选项中选出最佳选项。Life is full of the unexpected._1 1_a cold winter afternoon,a man saw an old lady standing by her expensive car and clearly
8、 she needed help.So he stopped and _2 2_ his old truck.“Is he going to hurt me?He doesnt look safe,”the old lady was _3 3_(B B)1.1.A.In BOn CAt DUnder(D D)2.2.A.went off Bturned off Ctook off Dgot off(C C)3.3.A.glad Bexcited Cworried Dsurprised The man could see that she was afraid,so he said in his
9、 friendliest_4 4_,“Im here to help you,madam.Why dont you_5 5_ in the car where its warm?_6 6_,my name is Ted Johnson.”Ted quickly fixed the car and the lady thanked him.Then she asked _7 7_ she should pay him.(A A)4.4.A.voice Bsound Cnoise Dlook(A A)5.5.A.wait Bto wait Cwaited Dwaits(D D)6.6.A.In a
10、 way BOn my way CUnder the way DBy the way(B B)7.7.A.how many Bhow much Chow far Dhow often But Ted wanted_8 8_ money.He was just giving a hand to someone in trouble._9 9_ was normal for him to do such a thing like that.He said,“If you really want to repay(报答)me,next time you see someone in need,thi
11、nk of me and help them.”(B B)8.8.A.not Bno Csome Dany(C C)9.9.A.This BThat CIt DThey After saying goodbye,the lady continued down the road until she reached a small_1010_where she decided to stop for something to eat.As the pretty waitress took her order,the lady noticed she was _1111_ eight months
12、pregnant(怀孕)The waitress looked tired and weak,_1212_she was very kind.As the lady was going to pay the$10 bill,she remembered Teds words.(A A)10.10.A.restaurant Bbookstore Ccinema Dlibrary(C C)11.11.A.mostly Bhardly Cnearly Dseldom(B B)12.12.A.so Bbut Cor Dthough After the lady was gone,the waitres
13、s saw a small note on the table.It said,“Somebody once helped me the way Im helping you.Continue being kind to other people.”Under the note were five _1313_ dollars.The waitress was_1414_ excited that she called her husband to tell him the news,“TedTed Johnson my dear youre not going to believe _151
14、5_ just happened”(A A)13.13.A.hundred Bhundreds Chundred of Dhundreds of(D D)14.14.A.too Bvery Csuch Dso(C C)15.15.A.how Bwhen Cwhat Dwhy二、阅读理解(共15小题;每小题2分,满分30分)阅读下面四篇短文,从每题所给的A、B、C、D四个选项中选出最佳选项。A A(20172017广东中考改编)(C C)16.16.The World Poetry Day is on _ AAugust 28th BMarch 3rd CMarch 21st DAugust 2
15、8th(D D)17.17.The purpose of the World Poetry Day is _Ato encourage the British to write poemsBto teach children how to read and write poemsCto raise money for the poets from all over the worldDto help people to read,write and teach poems better(A A)18.18.The rules for the competition include the fo
16、llowing EXCEPT_Athat poets can write poems in any languageBthat poets must use their unpublished poemsCthat poems cant be written on the subject of violence or drugsDthat poems cant be taken back after the competitionB B Sports can help you keep fit and close to nature.However,whether you are on the
17、 mountains,in the waves,or on the grassland,you should realize that sport you choose might have great influence on the environment.Some sports are resourcehungryGolf,as you may know,eats up not only large areas of countryside,but also lots of water.Besides,huge amounts of energy are used to keep its
18、 courses(球场)in good condition.This causes major environmental changes.For example,in the dry places of Portugal and Spain,golf is often held responsible for(为承担责任)serious water shortage(短缺)in some local areas.There are many environmentfriendly sports.Power walking is one of them that you could take
19、up today.You dont need any special equipment except a good pair of shoes,and you dont have to worry about resources and your purse.Simple and free,power walking can also help you stay healthy.If you walk regularly,it will be good for your heart.Experts say that 20 minutes of power walking daily can
20、make you feel less anxious,sleep well and keep thin.Whatever sport you take up,you can make it greener than by using environmentfriendly equipment and buying products made from recycled materials.But the final goal should be“green gyms”They are better replacements(替代)for traditional health clubs and
21、 modern sports centers.Members of green gyms play sports outdoors,in the countryside or other open spaces.There is no special requirement for you to start your membership(会员身份)And best of all,its free.(A A)19.19.Which of following does the author most probably support according to the passage?ABicyc
22、ling around the lake.BCar racing on the road.CPlaying basketball in a gym.DSwimming in a sports centre.(D D)20.20.What does the underlined phrase“resourcehungry”in this passage mean in Chinese?A广为流行的 B亲近自然的C低成本的 D耗费资源的(C C)21.21.The author uses power walking as an example mainly because_Ait is an ou
23、tdoor sport Bit is loved by many peopleCit uses fewer recourses Dit is supported by experts(B B)22.22.The author writes the passage to _Ashow us disadvantages of golfBurge us to take part in green sportsCexplain the major sports influence of popular sportsDdiscuss different kinds of environmentfrien
24、dly sport C C Lao She wrote Teahouse in 1957.The play shows the audience life in China between 1898 and 1945.It takes place in a teahouse in old Beijing and it tells us the story of Wang Lifa and his customers.It asks us to see the teahouse as the centre of the neighbourhood.Finally,it says goodbye
25、to old Beijing and its people.The story starts in 1898 during the Qing Dynasty.It continues in 1916,and finally,it brings the audience to the end of the AntiJapanese War in 1945.After the war,Wang loses the teahouse and he dies.Lao She was born in Beijing in 1899.His parents sent him to the Teachers
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