1、最新人教版八年级下册数学期末复习提纲精华版强烈推荐优秀名师资料人教版八年级下册数学期末复习提纲(精华版)强烈推荐八年级下册数学资料 1.如果A、B表示两个整式，并且B中含有 ，那么式子A/B叫做分式。 2. 分式是否有意义:有意义 分母_0，无意义 分母_0。 (由此可以求出字母的取值范围) 3. A 分式 的值为零 B4.分式的分子与分母同乘或除以一个不等于0的整式，分式的值不变。 分式乘法法则:分式乘分式，用分子的积作为积的分子，分母的积作为分母。 分式除法法则:分式除以分式，把除式的分子、分母颠倒位置后，与被除式相乘。 11-1-na (a?0) 这就是说， (a?0) ,a,naa5.
2、 分式方程:1)定义:分母中含有_的方程叫分式方程。 解法步骤:?_，?_，?_，?_ 分式方程检验方法:将整式方程的解带入最简公分母，如果最简公分母的值不为0，则整式方程的解是原分式方程的解;否则，这个解不是原分式方程的解。 第十七章 反比例函数 ky,-1形如，yx=k,(k为常数，k?0)的函数称为反比例函数，反比例y,kxx函数的图像属于双曲线。 22y,(1)点(3，a)在反比例函数a,，则把点带入 ; x32y,(2)点(b,2)在反比例函数，则把点带入得 x2y,(3)正比例函数y=2x与反比例函数相交点A和点B，求交点坐标A与xB? 提示:?.先联立两个方程 ?.求出X的值 ?
3、.把X带入?式或者?式，求出y值 ?.写出A，B的坐标 当k,0时，双曲线的两支分别位于第一、第三象限，在每个象限内y值随x值的增大而减小; 当k,0时，双曲线的两支分别位于第二、第四象限，在每个象限内y值随x值的增大而增大。 复习要求:必须要牢记正比例，一次函数，反比例的函数图像 用反比例函数解决实际问题的方法和步骤为(1) (2) (3) (4) (5) 复习建议:?.懂得仿照课本上例一的步骤求函数解析式。 ?.三种函数的求解析式找点个数:反比例:一个点;正比例:一个点 一次函数:两个点 2m-5 ?.特殊类型的求解析式:是反比例函数，求m值。 y,(m-2)x解: 由题意可知 2 ? m
4、-5,-1m-2,0 ? 由?得: m,2由?得: m,2？m,-2?.懂得找最简公分母，其实就像我们以前分数加减时找分母的最小公倍数 : 1、先把分母分解因式 2、找到分母系数的最小公倍数 3、找各分母所有因式的最高次幂 第十八章 勾股定理 1. 勾股定理:如果直角三角形的两直角边长分别为a，b，斜边长为c，那么2220a，b,c30。直角三角形所对直角边是斜边的一半。 222a，b,c2. 勾股定理逆定理:如果三角形三边长a,b,c满足，那么这个三角形是直角三角形。 ，C3.所对的边是直角边a，所对的边是直角边b,所对的边是斜边c， ，A，B00222，C9090a，b,c?.若存在一个角
5、为 ，如=，则;?.反过来若知道2220，Ca，b,c90，则= A c b 4. 经过证明被确认正确的命题叫做定理。 C a B 我们把题设、结论正好相反的两个命题叫做互逆命题。如果把其中一个叫做原命题，那么另一个叫做它的逆命题。(例:勾股定理与勾股定理逆定理) 第十九章 四边形 1. 平行四边形的性质:平行四边形的对边相等,平行四边形的对角相等,l邻角互补，平行四边形的对角线互相平分。 平行四边形的判定: 1.两组对边分别平行的四边形是平行四边形 2.两组对边分别相等的四边形是平行四边形; 3.两组对角分别相等的四边形是平行四边形; 4.对角线互相平分的四边形是平行四边形; 5.一组对边平
6、行且相等的四边形是平行四边形。 2. 三角形的中位线平行于三角形的第三边，且等于第三边的一半。 直角三角形斜边上的中线等于斜边的一半。 3. 矩形的性质:矩形的四个角都是直角;矩形的对角线平分且相等。 矩形判定定理: 1.有一个角是直角的平行四边形叫做矩形。 2.对角线相等的平行四边形是矩形。 3.有三个角是直角的四边形是矩形。 4.菱形的性质: 菱形的四条边都相等;菱形的两条对角线互相垂直，并且每一条对角线平分一组对角。 菱形的判定定理: 1.一组邻边相等的平行四边形是菱形。 2.对角线互相垂直的平行四边形是菱形。 3.四条边相等的四边形是菱形。 1S 菱形的面积计算公式: =ab(a、b为
7、两条对角线) 菱形25. 正方形的性质:四条边都相等，四个角都是直角。 正方形既是矩形，又是菱形。 正方形判定定理: 1.邻边相等的矩形是正方形。 2.有一个角是直角的菱形是正方形。 6. 一组对边平行，另一组对边不平行的四边形叫做梯形。 等腰梯形的性质:等腰梯形同一底边上的两个角相等;等腰梯形的两条对角线相等。 等腰梯形判定定理: 同一底上两个角相等的梯形是等腰梯形。 第二十章 数据的分析 xfxfxf，,，1122kkkx, 1.一组数据的算术平均数也称为这x,x,xk,12n个数的 平均数，其中，f分别叫做ffx,x,xk,k1212的 . 加权平均数是描述一组数据的一种常用的指标，反映
8、了这组数据的 大小. 2. 将一组数据按照由小到大(或由大到小)的顺序排列，如果数据的个数是奇数，则处于中间位置的数就是这组数据的中位数; 如果数据的个数是偶数，则中间两个数据的平均数就是这组数据的中位数。 3. 一组数据中出现次数最多的数据就是这组数据的众数。 4.方差计算公式为: xx,x,x,.x(其中“”表示一组数据的平均数，“”表示各个数据()123n12222,S,(x,x)，(x,x)，,，(x,x)? n12n122222S=x+x+？+x+x ? n12n方差越大，数据的波动越大;方差越小，数据的波动越小，就越稳定。 5.一组数据中的最大数据与最小数据的差叫做这组数据的极差。
9、 方差越大，数据的波动越大;方差越小，数据的波动越小，就越稳定。 数据的收集与整理的步骤:1.收集数据 2.整理数据 3.描述数据 4.分析数据 5.撰写调查报告 6.交流 ,英文版 , Two regulations promulgated for implementation is in the party in power for a long time and the rule of law conditions, the implementation of comprehensive strictly strategic plan, implementation in accorda
10、nce with the rules and discipline to manage the party, strengthen inner-party supervision of major initiatives. The two regulations supporting each other, the adhere to a positive advocate, focusing on morality is of Party members and Party leading cadres can see, enough to get a high standard; arou
11、nd the party discipline, disciplinary ruler requirements, listed as negative list, focusing on vertical gauge, draw the party organizations and Party members do not touch the bottom line . Here, the main from four square face two party rules of interpretation: the first part introduces two party Rev
12、ised regulations the necessity and the revision process; the second part is the interpretation of the two fundamental principles of the revision of laws and regulations in the party; the third part introduces two party regulations modified the main changes and needs to grasp several key problems; th
13、e fourth part on how to grasp the implementation of the two regulations of the party. and revised the necessity and revised history of the CPC Central Committee the amendment to the Chinese Communist Party members and leading cadres honest politics several guidelines and column 1 by 2015 to strength
14、en party laws and regulations focus. Two party regulations revision work lasted a Years, pooling the wisdom of the whole party, ideological consensus, draw historical experience, respect for the wisdom of our predecessors, which reflects the unity of inheritance and innovation; follow the correct di
15、rection, grasp the limited goals, adhere to the partys leadership, to solve the masses of the people reflect a focus on the problem. The new revision of the and , reflects the partys 18 and the eighth session of the third, the spirit of the fourth plenary session, reflecting the experience of studyi
16、ng and implementing the General Secretary Xi Jinping series of important speech, reflects the partys eighteen years comprehensive strictly practice. (a) revised two regulations of the party need of in based on revised, the promulgation and implementation of January 2010, to strengthen the constructi
17、on of the contingent of leading cadres play an important role. But with the party to manage the party strictly administering the deepening, has not been able to fully meet the actual needs. Content is too complicated, eight prohibition, 52 are not allowed to hard to remember, and also difficult to p
18、ut into practice; the second is concisely positive advocated by the lack of prohibited provisions excessive, no autonomy requirements; the third is banned terms and discipline law, both with the party discipline, disciplinary regulations repeat and Criminal law and other laws and regulations repeat;
19、 the fourth is to clean the theme is not prominent, not for the existing problems, and is narrow, only needle of county-level leading cadres above. is in 1997 based on revision, in December 2003 the promulgation and implementation, to strengthen the construction of the party play very important role
20、. Along with the development of the situation, which many provisions have been unable to fully meet the comprehensive strictly administering the practice needs. One is Ji law, more than half of the provisions and criminal law and other countries laws and regulations Repetition; two is the political
21、discipline regulations is not prominent, not specific, for violation of the party constitution, damage the authority of Party Constitution of misconduct lack necessary and serious responsibility to pursue; third is the main discipline for the leading cadres, does not cover all Party members. Based o
22、n the above situation, need to and the two is likely to be more relevant regulations first amendment. By revising, really put the authority of Party discipline, the seriousness in the party tree and call up the majority of Party members and cadres of the party constitution of party compasses party c
23、onsciousness. (II) two party regulations revision process the Central Committee of the Communist Party of China attaches great importance to two regulations revision . Xi Jinping, general books recorded in the Fifth Plenary Session of the eighth session of the Central Commission for Discipline Inspe
24、ction, on the revised regulations made clear instructions. According to the central deployment, the Central Commission for Discipline Inspection from 2014 under six months begin study two regulations revision. The Standing Committee of the Central Commission for Discipline Inspection 4 review revise
25、d. Comrade Wang Qishan 14 times held a special meeting to study two regulations revision, amendment clarifies the direction, major issues of principle, path and target, respectively held a forum will listen to part of the province (area) secretary of the Party committee, Secretary of the Discipline
26、Inspection Commission, part of the central ministries and state organs Department The first party committee is mainly responsible for people, views of experts and scholars and grassroots party organizations and Party members. Approved by the Central Committee of the Communist Party of China, on 7 Se
27、ptember 2015, the general office of the Central Committee of the Party issued a notice to solicit the provinces (autonomous regions, municipalities) Party, the central ministries and commissions, state ministries and commissions of the Party (party), the General Political Department of the military,
28、 every 3 people organization of Party of two regulations revision opinion. Central Commission for Discipline Inspection of extensive solicitation of opinions, careful study, attracting, formed a revised sent reviewers. In October 8 and October 12, Central Committee Political Bureau Standing Committe
29、e and the Political Bureau of the Central Committee After consideration of the two regulations revised draft. On October 18, the Central Committee of the Communist Party of China formally issued two regulations. Can say, two laws amendment concentrated the wisdom of the whole party, embodies the par
30、ty. Second, and revision of the basic principles of two party regulations revision work and implement the partys eighteen, ten eight plenary, the spirit of the Fourth Plenary Session of the Eleventh Central Committee and General Secretary Xi Jinping important instructions on the revised and , highlighting the ruling party characteristics, serious discipline, the discipline quite in front of the law, based on the current, a long-term, advance as a whole, with Bu Xiuding independent and . Main principle is: first, adhere to the
