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1、1 八年级数学 11 章三角形拓展与提高练习卷姓名1三角形的三个外角之比为2:3:4,则与之相应的三个内角之比为()2:3:44:3:25:3:11:3:52如图,将三角形纸板的直角顶点放在直尺的一边上,1=20,2=40,则3等于()A50 B30 C20 D153如图,ABC中,AB=4,AC=3,AD、AE分别是其角平分线和中线,过点C作 CG AD于 F,交 AB于 G,连接 EF,则线段 EF的长为()A12 B1 C72 D74如图,是由相同的花盆按一定的规律组成的形如正多边形的图案,其中第1 个图形一共有 6 个花盆,第2 个图形一共有12 个花盆,第3 个图形一共有20 个花盆
2、,则第 8 个图形中花盆的个数为()A、56 B、64 C、72 D、905如图,在 ABC 中,A=52,ABC 与ACB的角平分线交于D1,ABD1与ACD1的角平分线交于点D2,依此类推,ABD4与ACD4的角平分线交于点D5,则BD5C的度数是()A56 B60 C68 D946三角形两个外角的和等于第三个内角的4倍,则第三个内角等于_7 已知 a,b,c 为三角形的三边,则=8已知一个多边形的内角和与外角和的差是1260,则这个多边形边数是9如图,已知 ABC的内角 A=,分别作内角 ABC与外角 ACD的平分线,两条平分线交于点 A1,得 A1;A1BC和 A1CD的平分线交于点A
3、2,得 A2;以此类推得到A2014,则 A2014的度数是 _.精品资料-欢迎下载-欢迎下载 名师归纳-第 1 页,共 4 页 -2 10已知三角形三边之长能求出三角形的面积吗?海轮公式告诉你计算的方法是:S=,其中S 表示三角形的面积,a,b,c 分别表示三边之长,p表示周长之半,即p=我国宋代数学家秦九昭提出的“三斜求积术”与这个公式基本一致,所有这个公式也叫“海轮秦九昭公式”请你利用公式解答下列问题(1)在 ABC中,已知 AB=5,BC=6,CA=7,求 ABC的面积;(2)计算(1)中 ABC的 BC边上的高11如图所示,求A+B+C+D+E+F 的度数.12探究与发现:探究一:我
4、们知道,三角形的一个外角等于与它不相邻的两个内角的和那么,三角形的一个内角与它不相邻的两个外角的和之间存在何种数量关系呢?已知:如图1,FDC与 ECD分别为 ADC的两个外角,试探究A与 FDC+ECD的数量关系探究二:三角形的一个内角与另两个内角的平分线所夹的钝角之间有何种关系?已知:如图 2,在 ADC中,DP、CP分别平分 ADC和 ACD,试探究 P与 A的数量关系探究三:若将ADC改为任意四边形ABCD 呢?已知:如图3,在四边形ABCD 中,DP、CP分别平分 ADC和 BCD,试利用上述结论探究P与 A+B的数量关系探究四:若将上题中的四边形ABCD 改为六边形ABCDEF(图
5、 4)呢?请直接写出 P与A+B+E+F 的数量关系:13课本拓展旧知新意:我们容易证明,三角形的一个外角等于与它不相邻的两个内角的和那么,三角形的一个内ABCDEF精品资料-欢迎下载-欢迎下载 名师归纳-第 2 页,共 4 页 -文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM
6、1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9
7、B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:
8、CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10
9、HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 Z
10、W9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编
11、码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S13 角与它不相邻的两个外角的和之
12、间存在怎样的数量关系呢?1尝试探究:(1)如图 1,DBC与 ECB分别为 ABC的两个外角,试探究 A与 DBC+ECB之间存在怎样的数量关系?为什么?2初步应用:(2)如图 2,在 ABC纸片中剪去 CED,得到四边形ABDE,1=130,则 2-C=;(3)小明联想到了曾经解决的一个问题:如图 3,在 ABC中,BP、CP分别平分外角DBC、ECB,P与 A有何数量关系?请利用上面的结论直接写出答案3 拓展提升:(4)如图 4,在四边形ABCD 中,BP、CP分别平分外角EBC、FCB,P与 A、D有何数量关系?为什么?(若需要利用上面的结论说明,可直接使用,不需说明理由)15如图,AD
13、为 ABC的中线,BE为三角形 ABD中线,(1)ABE=15,BAD=35,求BED的度数;(2)在 BED中作 BD边上的高;(3)若 ABC的面积为 60,BD=5,则点 E到 BC边的距离为多少?精品资料-欢迎下载-欢迎下载 名师归纳-第 3 页,共 4 页 -文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文
14、档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3
15、F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4
16、L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S
17、1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1
18、V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4
19、X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O
20、1S14 16直线 MN与直线 PQ垂直相交于O,点 A在直线 PQ上运动,点B在直线 MN 上运动(1)如图 1,已知 AE、BE分别是 BAO和 ABO角的平分线,点A、B在运动的过程中,AEB的大小是否会发生变化?若发生变化,请说明变化的情况;若不发生变化,试求出 AEB的大小(2)如图 2,已知 AB不平行 CD,AD、BC分别是 BAP和 ABM的角平分线,又DE、CE分别是 ADC和 BCD的角平分线,点A、B在运动的过程中,CED的大小是否会发生变化?若发生变化,请说明理由;若不发生变化,试求出其值(3)如图 3,延长 BA至 G,已知 BAO、OAG 的角平分线与BOQ 的角平
21、分线及延长线相交于 E、F,在 AEF中,如果有一个角是另一个角的3 倍,试求 ABO的度数17如图,ABC中,C=900,AC=8cm,BC=6cm,AB=10cm,若动点 P从点 C开始,按C ABC的路径运动,且速度为每秒2cm,设运动的时间为t 秒(1)当 t 为何值时,CP把 ABC的周长分成相等的两部分?(2)当 t 为何值时,CP把 ABC的面积分成相等的两部分?(3)当 t 为何值时,BCP的面积为 12?精品资料-欢迎下载-欢迎下载 名师归纳-第 4 页,共 4 页 -文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V
22、3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X
23、4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1
24、S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X
25、1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K
26、4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1
27、O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1文档编码:CR2C7X1V3F10 HM1A4K4X4L9 ZW9B3G1O1S1