2011高考數(shù)學考點分布理

2011年高考數(shù)學理科考點分布表（六年高考分類全解）,,,,,,,,,,,,,,,,,,,,

考區(qū),,,新課標區(qū),,,,,,,,,,,,,非新課標去,,,,教育試點區(qū)

,?。ㄊ校┓?,課標全國,山東,廣東,江蘇,天津,浙江,遼寧,福建,安徽,北京,湖南,陜西,江西,大綱全國,重慶,湖北,四川,上海

章,節(jié),考點分類,38-43,48-54,144-148,59-63,64-68,73-77,,,,108-112,117-121,126-134,135-143,,,,,

專題一集合與常用邏輯用語,1.1集合,1.集合的含義及表示,,,2p144/145,,,,,,,,,,,,,,,

,,2.集合的基本關系,,,,,,,,,,1p,2充要,,,,,,,

,,3.集合的基本運算,,1p48/p50,,1,,,2,,8,,,,,,,2,,2

,,4.集合綜合、創(chuàng)新題,,,8新定義p144/146,,13,10p73,,,,,,7p126/p128,2p135/p136,,,,,

,1.2常用邏輯用語,1.四種命題及其關系,,,,,,,,,,14,,1p126/p128,,,,,,

,,2.充要條件,,5p48/p50,,4,2,,,2,,,,,,3,2,9新定義充要條件,5,

,,3.簡單邏輯聯(lián)結詞,,,,,,,,,,,,,,,,,,

,,4.全稱量詞與存在量詞,,,,,,,,,7,,,,,,,,,

,,5.綜合、創(chuàng)新題,,,,,,,,,,,,,,,,,,

專題二函數(shù)與導數(shù),2.1函數(shù)的概念、圖象及性質(zhì),1.函數(shù)及其表示,,,,,8新運算分段,1分段,,,,6，8,,,,2,,,"11,16新概念",

,,2.函數(shù)的基本性質(zhì),2p38/40,10p48/51,4p144/145,,,11,,9奇偶性，與三角函數(shù)綜合,3奇函數(shù)性質(zhì),,,6p126/p128,,9,5,6,,13

,,3.函數(shù)的圖象,12p39/41,9p48/p50,,,,,,,,,,,,,,,7,

,2.2基本初等函數(shù)1,1.一次函數(shù)、二次函數(shù),,,,,,,,,,,,,,,,,,

,,2.指數(shù)函數(shù),,3p48/p50,,,,,,,,,,,,,,,,20

,,3.對數(shù)函數(shù),,,,2,7,,9,,,,,,,,,,13,1

,,4.冪函數(shù),,,,,,,,,,,,,,,,,,

,,5綜合應用,,,,,,,,,,,,3p126/p128，11p127/p128，,3p135/p136,,,17,,16

,2.3函數(shù)與方程、函數(shù)模型及其應用,1.函數(shù)與方程,,16p49/51,,,,,,,,13,,12p127/p128,,,,,,

,,2.函數(shù)模型及其應用,,21p49/53,,17,,,,,,,20,,,,,,,

,2.4導數(shù)及其應用,1導數(shù)的運算及幾何意義,,,,,,,,,,,,,,8,18,10,,

,,2導數(shù)的應用,21p39/43,,12p144/146,12，19,19,,"11,21",18,10，16,18函數(shù)不等式,8求極值,21p127/p130，19p127/p130,,22,,21不等式,22,

,,3.定積分與微分基本定理,9p38/41,,,,,,,5,,,6,,,,,,,

專題三三角函數(shù)平面向量,3.1三角函數(shù),1.三角函數(shù)的概念、同角三角函數(shù)的關系、誘導公式,,,,,,,,,,,,,,14,,,,

,,2.三角函數(shù)的圖象及性質(zhì),,6p48/p50,,,,,16,,,15,,,,5,,3,,

,,3.函數(shù)y=sin(ωx+φ)的圖象和性質(zhì),11p38/41,,,9,,,,,9,,,,,,16,,,

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

,,5.解三角形,16p39/42,17p49/52,,,6,18,4,14,14與等差數(shù)列綜合,9,,,,17,6,16,6,

,,6.綜合應用,,,,15,15,,,,,,17,18p127/p129，,17p136/p138，,,,,17,

,3.2平面向量,1.平面向量的概念及線性運算,,12新概念p49/51,,,14,,,,,,14,,11p135/p137，,12,12,,4,

,,2.平面向量基本定理及坐標運算,,,,,,,,,,10,,,,,,,,

,,3.平面向量的數(shù)量積及應用,10p38/41,,3p144/145,10,,14,10,,13,,,,,,,8數(shù)量積線性規(guī)劃,12,11

,,4.向量的應用,,,,,,17,,15新定義題,,,,,,,,,,

專題四立體幾何,4.1空間幾何體,1.空間幾何體的結構、三視和直觀圖,6p38/40,11p49/51,7三視圖體積p144/146,,10三視圖體積,3,15,,6,7,3體積,5p126/p128,,,,,,

,,2.空間幾何體的表面積,,,,,,,,,,,,,,,,,15,

,,3.空間幾何體的體積,15p39/41,,,,,,12,12,,,,,,,,,,

,4.2點、線、面的位置關系,1.平面的基本性質(zhì)空間點線面的位置關系,,,,,,,,,,,,,,11,,,3,

,,2.直線、平面平行關系的判定和性質(zhì),,19p49/52,,,,,,,17,,,,8p135/pp137，21p136/p139，,,,,,

,,3.直線、平面垂直關系的判定和性質(zhì)關系,18p39/42,,18p145/147,,,4,,20,,,19,16p126/p129，,,,,,,

,4.3空間向量與立體幾何,1.空間向量及運算,,,,,,,,,,,,,,,,,,

,,2.空間向量的應用,,20p49/53,,,,20,18,,,16,,,,19線面垂直線面角,19體積異面直線角,18,19,17

,,3.空間的角和距離,,,,,17,,8,,,,,,,6，16,,,,21

專題五平面解析幾何,5.1直線與方程,1.直線的方程,,,,,,,,15綜合性較強,,,,,,,,,,

,,2.兩直線的位置關系,,,,,,,,,,,,,,,,,,

,5.2圓的方程,1.圓的方程,,,,,,,,,,,,,,,8,,,

,,2.直線、圓的位置關系,,8p48/p50,,14,,,,17第2問考查拋物線,,,,,9p135/p137,,15,,,

,5.3圓錐曲線,1.橢圓,14p39/41,,,18,,,,,,,,,,,20橢圓定值,,,

,,2.雙曲線,7p38/40,,,,,8,13,7綜合考查橢圓和雙曲線的離心率,2,,5,,,15焦點三角形,,,14,3

,,3.拋物線,,,,,,,3,,,,,2p126/p128，,,10焦點三角形,,4,,

,,4.直線與圓錐曲線的位置關系,,22直線與橢圓定值最值p49/54,,,,21,20,,21與向量綜合,19橢圓最值,21存在性問題,17p127/p129，,"14p136/p138,20p136/p139，",21直線與橢圓,,,10綜合，21與向量綜合,

,,5.曲線與方程,20p39/42,,21p146/146,,18軌跡向量,,,,,,,,,,,14，20,,23

專題六數(shù)列不等式,6.1數(shù)列,1.數(shù)列概念及其表示,,,,,,,,,,,,,,,,,,

,,2.等差數(shù)列,,,11性質(zhì)p144/146,,,,,,,,12,,,4,11,13,8,

,,3.等比數(shù)列,,,,,4,,,16第2問主要考查三角函數(shù)求解析式,,11,,,,,,,20,18

,,4.數(shù)列求和及綜合應用求和,17p39/42,20p49/53,20p145/147,13，20,20,19,17,18,,20,,"14p127/p129,19p127/p130，",,20,21與不等式綜合,19,,22

,6.2不等式,1.不等式的性質(zhì)與證明,,,,,,,,19,,,,,,,,,,

,,2.一元二次不等式及其解法,,,,,,,,,,,,,,,,,,4

,,3.二元一次不等式組與簡單的線形規(guī)劃,13p39/41,,5規(guī)劃向量p144/146,,,5,,8與向量綜合,4,,7,,,,10,,9,

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

,,5.不等式的綜合應用,,,,,,16,,,,,,,4p135/p136,,,,,

專題七概率與統(tǒng)計,7.1統(tǒng)計與統(tǒng)計案例,1.隨機抽樣,,,,,9分層,,,,,,,,,,,,,

,,2.用樣本估計總體,,,,6,,,,,,17,,,,,,,,

,,3.變量的相關性與統(tǒng)計案例,,7回歸方程p48/p50,13回歸分析p144/146,,,,14,,,,4獨立性檢驗,9p126/p128，,6p135/p137，,,,,,

,7.2計數(shù)原理,1.計數(shù)原理排列組合,,,,,,9,,,,12,16,,,7,,15,,

,,2.二項式定理,8p38/40,14p49/51,10p144/146,,5,13,,6,12,,,4p126/p128,,13,4,11,,

,7.3概率,1.隨機事件的概率,,,,,,,,,,,,,,,,,1,

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

,,3.隨機數(shù)與幾何概型,,,,,,,,4,,,15,,12p135/p137,,,,,

,7.4離散型隨機變量及其分布,1.隨機變量的分布列，均值、方差,19p39/42,,17p145/147,,16,15,,19,20,,18,20p127/p130,16p136/p138,,17,,18,

,,2.條件概率與事件的獨立性,,18p49/52,6p144/146,,,,5,,,,,,,,13獨立重復試驗,7,,

,,3超幾何分布,,,,,,,,,,,,,,,,,,

,,4.二項分布,,,,,,,,,,,,,,18,,,,

,,5.正態(tài)分布,,,,,,,,,,,,,,,,5,,

專題八推理與證明算法初步復數(shù),8.1算法初步,1.算法的含義程序框圖,3p38/40,13p49/51,,4,3,12,6,11,11,4,,8p126/p128，,13p136/p138，,,,,,

,,2.算法創(chuàng)新題,,,,,,,,,,,13,,,,,,,

,8.2復數(shù),1.復數(shù)的概念及幾何意義,1p38/40,2p48/p50,1p144/145,3,,,,1，與集合綜合考察,,,1復數(shù)相等,,,1,,,,

,,2.復數(shù)的運算,,,,,1,2,1,,1,2,,,1p135/p136,,1,1,2,19

,8.3推理證明與數(shù)學歸納法,1.合情推理與演繹推理,,15p49/51,,23,,,,,,,,13p127/p129，,7p135/p137，,,,,,

,,2.直接證明與間接證明,,,,16,,,,,,,,,,,,,,

,,3.數(shù)學歸納法,,,,,,,,,,,22,,,,,,,

專題九系列四選講,9.1幾何證明選講,1.三角形,,,,,,,,,,,11,15Bp127/p129，,,,,,,

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

,9.2矩陣與變換,,,,,21B,,,,21（1）,,,,,,,,,,10

,9.3坐標系與參數(shù)方程,1.極坐標系,23p39/43,,,,,,,21（2),5,3,9,15Cp127/p129，,15（1）p136/p138,,,,,5

,,2.參數(shù)方程,,,14p144/146,21C,11,自選04,23,21(2),,,,,,,,,,

,9.4不等式選講,1.絕對值不等式,24p40/43,4解法p48/p50,9,21D,,,,21(3),,,,15Ap127/p129，,15（2）p136/p138,,,,,

,,2.不等