2022年-高中数学人教版_必修五_不等式_知识点最完全精炼总结_图文 .pdf

上传人:Q****o 文档编号:56636629 上传时间:2022-11-02 格式:PDF 页数:7 大小:329.20KB
返回 下载 相关 举报
2022年-高中数学人教版_必修五_不等式_知识点最完全精炼总结_图文 .pdf_第1页
第1页 / 共7页
2022年-高中数学人教版_必修五_不等式_知识点最完全精炼总结_图文 .pdf_第2页
第2页 / 共7页
点击查看更多>>
资源描述

《2022年-高中数学人教版_必修五_不等式_知识点最完全精炼总结_图文 .pdf》由会员分享,可在线阅读,更多相关《2022年-高中数学人教版_必修五_不等式_知识点最完全精炼总结_图文 .pdf(7页珍藏版)》请在taowenge.com淘文阁网|工程机械CAD图纸|机械工程制图|CAD装配图下载|SolidWorks_CaTia_CAD_UG_PROE_设计图分享下载上搜索。

1、【DOC】-高中数学人教版_必修五 _不等式 _知识点最完全精炼总结 _图文高中数学人教版 _必修五 _不等式 _知识点最完全精炼总结_图文2012.3.26 一.不等式1.两实数大小的比较a b a,b 0 a b a,b 0 a b a,b 0 2.不等式的性质:8 条性质.a2,b2 2ab a2,b 1(a,2 2b)2 a,b2 3.基 整式形式 ab 2 本不 a2,b2 ab 2 等式a,b 定理 根式形式2 ab a,b 2(a2,b2)分式形 b,a 2(a,b同号)ab 1 a 0 a 倒数形式 ,a 2 a 0 a,1 a,2 4.公式:2 a,ba,1,b,1 2 1

2、3.解不等式x (1)一元一次不等式 ax b(a 0)x(2)一元二次不等式:b (a 0)ab (a 0)2 文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q

3、5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5

4、S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10

5、R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F

6、9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7

7、Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P

8、10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2文档编码:CC7Z5S4N2Q3 HM9P10R9U7A3 ZR5R3F9Q5Z2一元二次不等式的求解流程:一化:化二次项前的系数为正数.二判:判断对应方程的根.三求:求对应方程的根.四画:画出对应函数的图象.五解集:根据图象写出不

9、等式的解集.(3)解分式不等式:高次不等式:f(x)0 f(x)g(x)0 g(x)f(x)f(x)g(x)0 0 g(x)0 g(x)(x,a1)(x,a2)(x,an)0 (4)解含参数的不等式:(1)(x 2)(ax 2)0 (2)x2 (a+a2)x+a30;(3)2x2+ax+2 0;注:解形如 ax2+bx+c0的不等式时分类讨论的标准有:1、讨论 a 与 0 的大小;2、讨论?与 0 的大小;3、讨论两根的大小;二、运用的数学思想:1、分类讨论的思想;2、数形结合的思想;3、等与不等的化归思想(4)含参不等式恒成立的问题:22x,(3,a例 1(已知关于 x 的不等式 )x,2

10、a,1 0 在(2,0)上恒成立,求实数a 的取值范围(例 2(关于 x 的不等式、函数 1 2、分离参数后用最值 3 、用图象y log2(,ax2,ax,1)文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F

11、3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I

12、6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10

13、F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3

14、G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5

15、D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W

16、7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5对所有

17、实数 x?R都成立,求 a 的取值范围.例 3.若对任意x x 0,2 a恒成立,x,3x,1 则 的取值范围.a (5)一元二次方程根的分布问题:方法:依据二次函数的图像特征从:开口方向、判别式、对称轴、函数值三个角度列出不等式组,总之都是转化为一元二次不等式组求解.二次方程根的分布问题的讨论 f(k)1(x 0 1 x2 k ,b k 2a 0 文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7

18、K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码

19、:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3

20、Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6

21、 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F

22、9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G

23、4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D

24、6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5f(k)02(k x1 x ,b k 2 a 0 3(x1 k x2 f(k)0 :4(k1 x1 x2 k2 5(x1 k1 k2 x2 x 文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3

25、Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6

26、 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F

27、9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G

28、4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D

29、6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7

30、K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码

31、:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5f(k1)0 f(k2)0 f(k1)0 0 f(k)0 2 k,b k12 2a 6(k1 x1 k2 x20,y0,且1x+9 y =1,求 x+y 的最小值.文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5

32、W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 H

33、T10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S

34、2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4

35、ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A

36、10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5

37、文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5文档编码:CY2F3Y5W7I6 HT10F9S2R3G4 ZG5D6A10W7K5

展开阅读全文
相关资源
相关搜索

当前位置:首页 > 教育专区 > 高考资料

本站为文档C TO C交易模式,本站只提供存储空间、用户上传的文档直接被用户下载,本站只是中间服务平台,本站所有文档下载所得的收益归上传人(含作者)所有。本站仅对用户上传内容的表现方式做保护处理,对上载内容本身不做任何修改或编辑。若文档所含内容侵犯了您的版权或隐私,请立即通知淘文阁网,我们立即给予删除!客服QQ:136780468 微信:18945177775 电话:18904686070

工信部备案号:黑ICP备15003705号© 2020-2023 www.taowenge.com 淘文阁