2011高考数学考点分布理

2011年高考数学理科考点分布表（六年高考分类全解）,,,,,,,,,,,,,,,,,,,,

考区,,,新课标区,,,,,,,,,,,,,非新课标去,,,,教育试点区

,省（市）份,,课标全国,山东,广东,江苏,天津,浙江,辽宁,福建,安徽,北京,湖南,陕西,江西,大纲全国,重庆,湖北,四川,上海

章,节,考点分类,38-43,48-54,144-148,59-63,64-68,73-77,,,,108-112,117-121,126-134,135-143,,,,,

专题一集合与常用逻辑用语,1.1集合,1.集合的含义及表示,,,2p144/145,,,,,,,,,,,,,,,

,,2.集合的基本关系,,,,,,,,,,1p,2充要,,,,,,,

,,3.集合的基本运算,,1p48/p50,,1,,,2,,8,,,,,,,2,,2

,,4.集合综合、创新题,,,8新定义p144/146,,13,10p73,,,,,,7p126/p128,2p135/p136,,,,,

,1.2常用逻辑用语,1.四种命题及其关系,,,,,,,,,,14,,1p126/p128,,,,,,

,,2.充要条件,,5p48/p50,,4,2,,,2,,,,,,3,2,9新定义充要条件,5,

,,3.简单逻辑联结词,,,,,,,,,,,,,,,,,,

,,4.全称量词与存在量词,,,,,,,,,7,,,,,,,,,

,,5.综合、创新题,,,,,,,,,,,,,,,,,,

专题二函数与导数,2.1函数的概念、图象及性质,1.函数及其表示,,,,,8新运算分段,1分段,,,,6，8,,,,2,,,"11,16新概念",

,,2.函数的基本性质,2p38/40,10p48/51,4p144/145,,,11,,9奇偶性，与三角函数综合,3奇函数性质,,,6p126/p128,,9,5,6,,13

,,3.函数的图象,12p39/41,9p48/p50,,,,,,,,,,,,,,,7,

,2.2基本初等函数1,1.一次函数、二次函数,,,,,,,,,,,,,,,,,,

,,2.指数函数,,3p48/p50,,,,,,,,,,,,,,,,20

,,3.对数函数,,,,2,7,,9,,,,,,,,,,13,1

,,4.幂函数,,,,,,,,,,,,,,,,,,

,,5综合应用,,,,,,,,,,,,3p126/p128，11p127/p128，,3p135/p136,,,17,,16

,2.3函数与方程、函数模型及其应用,1.函数与方程,,16p49/51,,,,,,,,13,,12p127/p128,,,,,,

,,2.函数模型及其应用,,21p49/53,,17,,,,,,,20,,,,,,,

,2.4导数及其应用,1导数的运算及几何意义,,,,,,,,,,,,,,8,18,10,,

,,2导数的应用,21p39/43,,12p144/146,12，19,19,,"11,21",18,10，16,18函数不等式,8求极值,21p127/p130，19p127/p130,,22,,21不等式,22,

,,3.定积分与微分基本定理,9p38/41,,,,,,,5,,,6,,,,,,,

专题三三角函数平面向量,3.1三角函数,1.三角函数的概念、同角三角函数的关系、诱导公式,,,,,,,,,,,,,,14,,,,

,,2.三角函数的图象及性质,,6p48/p50,,,,,16,,,15,,,,5,,3,,

,,3.函数y=sin(ωx+φ)的图象和性质,11p38/41,,,9,,,,,9,,,,,,16,,,

,,4.三角恒等变换,5p38/40,,16p146/146,7,,6,7,3,,,,,,,14,,,

,,5.解三角形,16p39/42,17p49/52,,,6,18,4,14,14与等差数列综合,9,,,,17,6,16,6,

,,6.综合应用,,,,15,15,,,,,,17,18p127/p129，,17p136/p138，,,,,17,

,3.2平面向量,1.平面向量的概念及线性运算,,12新概念p49/51,,,14,,,,,,14,,11p135/p137，,12,12,,4,

,,2.平面向量基本定理及坐标运算,,,,,,,,,,10,,,,,,,,

,,3.平面向量的数量积及应用,10p38/41,,3p144/145,10,,14,10,,13,,,,,,,8数量积线性规划,12,11

,,4.向量的应用,,,,,,17,,15新定义题,,,,,,,,,,

专题四立体几何,4.1空间几何体,1.空间几何体的结构、三视和直观图,6p38/40,11p49/51,7三视图体积p144/146,,10三视图体积,3,15,,6,7,3体积,5p126/p128,,,,,,

,,2.空间几何体的表面积,,,,,,,,,,,,,,,,,15,

,,3.空间几何体的体积,15p39/41,,,,,,12,12,,,,,,,,,,

,4.2点、线、面的位置关系,1.平面的基本性质空间点线面的位置关系,,,,,,,,,,,,,,11,,,3,

,,2.直线、平面平行关系的判定和性质,,19p49/52,,,,,,,17,,,,8p135/pp137，21p136/p139，,,,,,

,,3.直线、平面垂直关系的判定和性质关系,18p39/42,,18p145/147,,,4,,20,,,19,16p126/p129，,,,,,,

,4.3空间向量与立体几何,1.空间向量及运算,,,,,,,,,,,,,,,,,,

,,2.空间向量的应用,,20p49/53,,,,20,18,,,16,,,,19线面垂直线面角,19体积异面直线角,18,19,17

,,3.空间的角和距离,,,,,17,,8,,,,,,,6，16,,,,21

专题五平面解析几何,5.1直线与方程,1.直线的方程,,,,,,,,15综合性较强,,,,,,,,,,

,,2.两直线的位置关系,,,,,,,,,,,,,,,,,,

,5.2圆的方程,1.圆的方程,,,,,,,,,,,,,,,8,,,

,,2.直线、圆的位置关系,,8p48/p50,,14,,,,17第2问考查抛物线,,,,,9p135/p137,,15,,,

,5.3圆锥曲线,1.椭圆,14p39/41,,,18,,,,,,,,,,,20椭圆定值,,,

,,2.双曲线,7p38/40,,,,,8,13,7综合考查椭圆和双曲线的离心率,2,,5,,,15焦点三角形,,,14,3

,,3.抛物线,,,,,,,3,,,,,2p126/p128，,,10焦点三角形,,4,,

,,4.直线与圆锥曲线的位置关系,,22直线与椭圆定值最值p49/54,,,,21,20,,21与向量综合,19椭圆最值,21存在性问题,17p127/p129，,"14p136/p138,20p136/p139，",21直线与椭圆,,,10综合，21与向量综合,

,,5.曲线与方程,20p39/42,,21p146/146,,18轨迹向量,,,,,,,,,,,14，20,,23

专题六数列不等式,6.1数列,1.数列概念及其表示,,,,,,,,,,,,,,,,,,

,,2.等差数列,,,11性质p144/146,,,,,,,,12,,,4,11,13,8,

,,3.等比数列,,,,,4,,,16第2问主要考查三角函数求解析式,,11,,,,,,,20,18

,,4.数列求和及综合应用求和,17p39/42,20p49/53,20p145/147,13，20,20,19,17,18,,20,,"14p127/p129,19p127/p130，",,20,21与不等式综合,19,,22

,6.2不等式,1.不等式的性质与证明,,,,,,,,19,,,,,,,,,,

,,2.一元二次不等式及其解法,,,,,,,,,,,,,,,,,,4

,,3.二元一次不等式组与简单的线形规划,13p39/41,,5规划向量p144/146,,,5,,8与向量综合,4,,7,,,,10,,9,

,,4.基本不等式,,,,,,自选03（2）,,,,,10,,,,7,,,15

,,5.不等式的综合应用,,,,,,16,,,,,,,4p135/p136,,,,,

专题七概率与统计,7.1统计与统计案例,1.随机抽样,,,,,9分层,,,,,,,,,,,,,

,,2.用样本估计总体,,,,6,,,,,,17,,,,,,,,

,,3.变量的相关性与统计案例,,7回归方程p48/p50,13回归分析p144/146,,,,14,,,,4独立性检验,9p126/p128，,6p135/p137，,,,,,

,7.2计数原理,1.计数原理排列组合,,,,,,9,,,,12,16,,,7,,15,,

,,2.二项式定理,8p38/40,14p49/51,10p144/146,,5,13,,6,12,,,4p126/p128,,13,4,11,,

,7.3概率,1.随机事件的概率,,,,,,,,,,,,,,,,,1,

,,2.古典概型,4p38/40,,,5,,,,13解法中含组合,,,,10p126/p128,,,,12,,

,,3.随机数与几何概型,,,,,,,,4,,,15,,12p135/p137,,,,,

,7.4离散型随机变量及其分布,1.随机变量的分布列，均值、方差,19p39/42,,17p145/147,,16,15,,19,20,,18,20p127/p130,16p136/p138,,17,,18,

,,2.条件概率与事件的独立性,,18p49/52,6p144/146,,,,5,,,,,,,,13独立重复试验,7,,

,,3超几何分布,,,,,,,,,,,,,,,,,,

,,4.二项分布,,,,,,,,,,,,,,18,,,,

,,5.正态分布,,,,,,,,,,,,,,,,5,,

专题八推理与证明算法初步复数,8.1算法初步,1.算法的含义程序框图,3p38/40,13p49/51,,4,3,12,6,11,11,4,,8p126/p128，,13p136/p138，,,,,,

,,2.算法创新题,,,,,,,,,,,13,,,,,,,

,8.2复数,1.复数的概念及几何意义,1p38/40,2p48/p50,1p144/145,3,,,,1，与集合综合考察,,,1复数相等,,,1,,,,

,,2.复数的运算,,,,,1,2,1,,1,2,,,1p135/p136,,1,1,2,19

,8.3推理证明与数学归纳法,1.合情推理与演绎推理,,15p49/51,,23,,,,,,,,13p127/p129，,7p135/p137，,,,,,

,,2.直接证明与间接证明,,,,16,,,,,,,,,,,,,,

,,3.数学归纳法,,,,,,,,,,,22,,,,,,,

专题九系列四选讲,9.1几何证明选讲,1.三角形,,,,,,,,,,,11,15Bp127/p129，,,,,,,

,,2.圆,22p39/43,,15p145/146,21A,12,,22,,,5,,,,,,,,

,9.2矩阵与变换,,,,,21B,,,,21（1）,,,,,,,,,,10

,9.3坐标系与参数方程,1.极坐标系,23p39/43,,,,,,,21（2),5,3,9,15Cp127/p129，,15（1）p136/p138,,,,,5

,,2.参数方程,,,14p144/146,21C,11,自选04,23,21(2),,,,,,,,,,

,9.4不等式选讲,1.绝对值不等式,24p40/43,4解法p48/p50,9,21D,,,,21(3),,,,15Ap127/p129，,15（2）p136/p138,,,,,

,,2.不等