2022年中考数学复习专题18等腰三角形与直角三角形 .pdf

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1、专题 18 等腰三角形与直角三角形?解读考点知识点名师点晴等 腰三角形等腰三角形的性质理解等腰三角形的性质,并能解决等腰三角形的有关计算等腰三角形的判定掌握等腰三角形的判定方法,会证明一个三角形是等腰三角形等 边三角形等边三角形的性质理解等边三角形的性质等边三角形的判定掌握等边三角形的判定方法,会证明一个三角形是等边三角形直 角三角形直角三角形的性质理解直角三角形的有关性质直角三角形的判定掌握直角三角形的判定方法,会证明一个三角形是直角三角形勾股定理理解并掌握勾股定理及其逆定理?2年中考【2015 年题组】1(2015 来宾)下列各组线段中,能够组成直角三角形的一组是()A1,2,3 B2,3

2、,4 C4,5,6 D1,2,3【答案】D【解析】试题分析:A222123,不能组成直角三角形,故错误;B222234,不能组成直角三角形,故错误;C222456,不能组成直角三角形,故错误;D2221(2)(3),能够组成直角三角形,故正确故选 D考点:勾股定理的逆定理2(2015 南宁)如图,在ABC 中,AB=AD=DC,B=70,则 C 的度数为()A35B40C45D50【答案】A考点:等腰三角形的性质3(2015 来宾)如图,在ABC 中,AB=AC,BAC=100,AB 的垂直平分线DE 分别交AB、BC 于点 D、E,则 BAE=()A80B60C50D40【答案】D【解析】试

3、题分析:AB=AC,BAC=100,B=C=(180 100)2=40,DE 是 AB 的垂直平分线,AE=BE,BAE=B=40,故选 D考点:1线段垂直平分线的性质;2等腰三角形的性质4(2015 内江)如图,在ABC 中,AB=AC,BD 平分 ABC 交 AC 于点 D,AEBD 交CB 的延长线于点E若 E=35,则 BAC 的度数为()A40B45C60D70【答案】A【解析】文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C1

4、0J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7

5、X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV

6、9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1

7、C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2

8、U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:

9、CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 H

10、P1C10J3M6D2 ZS2U7X4V8F3文档编码:CV9C5F3U1J4 HP1C10J3M6D2 ZS2U7X4V8F3试题分析:AEBD,CBD=E=35,BD 平分 ABC,CBA=70,AB=AC,C=CBA=70,BAC=180 70 2=40 故选 A考点:1等腰三角形的性质;2平行线的性质5(2015 荆门)已知一个等腰三角形的两边长分别是2 和 4,则该等腰三角形的周长为()A8 或 10 B8 C10 D6 或 12【答案】C考点:1等腰三角形的性质;2三角形三边关系;3分类讨论6(2015 广州)已知2 是关于 x 的方程2230 xmxm的一个根,并且这个方程的两个

11、根恰好是等腰三角形ABC 的两条边长,则三角形ABC 的周长为()A10 B14 C10 或 14 D8 或 10【答案】B【解析】试题分析:2 是关于 x 的方程2230 xmxm的一个根,22430mm,4m,28120 xx,解得 x=2 或 x=6当 6 是腰时,2 是等边,此时周长=6+6+2=14;当 6 是底边时,2是腰,2+26,不能构成三角形所以它的周长是14故选 B考点:1解一元二次方程-因式分解法;2一元二次方程的解;3三角形三边关系;4等腰三角形的性质;5分类讨论7(2015 丹东)如图,在ABC 中,AB=AC,A=30,E 为 BC 延长线上一点,ABC 与ACE

12、的平分线相交于点D,则 D 的度数为()文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10

13、Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8

14、T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7

15、Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码

16、:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A

17、4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M

18、4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9A15B17.5 C20D22.5【答案】A考点:等腰三角形的性质8(2015 龙岩)如图,在边长为3的等边三角形ABC 中,过

19、点 C 垂直于 BC 的直线交 ABC的平分线于点P,则点 P 到边 AB 所在直线的距离为()A33B32C3D1【答案】D【解析】试题分析:ABC 为等边三角形,BP 平分 ABC,PBC=12ABC=30,PC BC,PCB=90,在 RtPCB 中,PC=BC?tanPBC=333=1,点 P 到边 AB 所在直线文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L

20、6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4

21、HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W

22、8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9

23、 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6

24、A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9

25、文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:C

26、K10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9的距离为1,故选 D考点:1角平分线的性质;2等边三角形的性质;3含 30 度角的直角三角形;4勾股定理9(2015 乐山)如图,已知ABC 的三个顶点均在格点上,则cosA 的值为()A33B55C2 33D255【答案】D考点:1锐角三角函数的定义;2勾股定理;3勾股定理的逆定理;4网格型10(2015 资阳)如图,透明的圆柱形容器(容器厚度忽略不计)的高为12cm,底面周长为 10cm,在容器内壁离容器底部3cm 的点 B 处有一饭粒

27、,此时一只蚂蚁正好在容器外壁,且离容器上沿3cm 的点 A 处,则蚂蚁吃到饭粒需爬行的最短路径是()文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7

28、Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码

29、:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A

30、4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M

31、4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W

32、2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10

33、Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9A13cmB 261 cmC61 cmD 2 34 cm【答案】A考

34、点:1平面展开-最短路径问题;2最值问题11(2015 德阳)如图,在RtABC 中,ACB=90,CD 为 AB 边上的高,若点A关于 CD所在直线的对称点E 恰好为 AB 的中点,则 B 的度数是()A60B45C30D75【答案】C【解析】试题分析:在 RtABC 中,ACB=90,CD 为 AB 边上的高,点A 关于 CD 所在直线的文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档

35、编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK1

36、0A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V

37、9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI

38、1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I

39、10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 Z

40、F8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5

41、Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9对称点E 恰好为AB 的中点,CED=A,CE=BE=AE,ECA=A,B=BCE,ACE 是等边三角形,CED=60,B=12CED=30 故选 C考点:1直角三角形斜边上的中线;2轴对称的性质12(2015 眉山)如图,在RtABC 中,B=900,A=300,DE 垂直平分斜边AC,交 AB于 D,E 是垂足,连接CD若 BD=l,则 AC 的长是()A32B2 C34D4【答案】A考点:1含 30 度角的直角三角

42、形;2线段垂直平分线的性质;3勾股定理13(2015 荆门)如图,在ABC 中,BAC=Rt,AB=AC,点 D 为边 AC 的中点,DEBC于点 E,连接 BD,则 tanDBC 的值为()A13B21C23D14【答案】A【解析】试题分析:在 ABC 中,BAC=Rt,AB=AC,ABC=C=45,BC=2AC,又 文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6

43、V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 H

44、I1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8

45、I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9

46、ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A

47、5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文

48、档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK

49、10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9点D 为边AC 的中点,AD=DC=12AC,DEBC 于点E,CDE=C=45,DE=EC=22DC=24AC,tanDBC=DEBE=24224ACACAC=13故选 A考点:1解直角三角形;2等腰直角三角形14(2015 襄阳)如图,在 ABC 中,B=30,BC 的垂直平分线交AB 于点 E,垂足为 D,CE 平分 ACB若 BE=2,则 AE 的长为()A3B 1 C2D2【答案】B考点:1含 30 度角的直角三角形;2角平分线的性

50、质;3线段垂直平分线的性质15(2015 北京市)如图,公路AC,BC 互相垂直,公路AB 的中点 M 与点 C 被湖隔开若测得 AM 的长为 1.2km,则 M,C 两点间的距离为()A0.5kmB0.6kmC 0.9kmD1.2km【答案】D【解析】文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:CK10A4L6V9M4 HI1W2W8I10Y9 ZF8T6A5Q7Y9文档编码:

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