各地市高考数学最新联考试题分类大汇编函数与导数.pdf

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各地市高考数学最新联考试题分类大汇编函数与导数.pdf

学习好资料欢迎下载山西省各地市 2012 年高考数学最新联考试题分类大汇编（3）函数与导数一、选择题：3(山西大学附中2012 年高三下学期三模理科)由曲线xxy22与直线0yx所围成的封闭图形的面积为（）3265316112.(山西大学附中2012 年高三下学期三模理科)已知函数f（x）满足：定义域为R；对任意 xR，有 f（x 十 2）2f（x）；当 x 1,1 时，f（x）x 1，则函数 y在区间 10,10 上零点的个数是（C）（A）17（B）12（C）11（D）10 16.(山西大学附中 2012 年高三下学期三模理科)对于定义域为D的函数xf，若存在区间aDbaM,b，使得MMxxfyy,，则称区间M为函数xf的“等值区间”.给出下列四个函数：;2xxf;3xxf;sin xxf.1log2xxf则存在“等值区间”的函数的序号是（B.）A.1 个B.2 个C.3 个D.4 个7(山西省太原市2012 年高三第三次模拟）设函数2()(),()(1,(1)f xg xxyg xg曲线在点处的切线方程为y=2x 十 1，则曲线y=()f x在点（1，f（1）处切线的斜率为A2B14C4 D122(山西省四校2012 届高三第三次联考理科)曲线lnyxx在点),(ee处的切线与直线1xay垂直，则实数a的值为A2 B.-2 C.12D.12精品资料-欢迎下载-欢迎下载名师归纳-第 1 页，共 5 页 -学习好资料欢迎下载【答案】A 7.(山西省四校2012 届高三第三次联考理科)定义在R上的函数xf满足0,210,8log2xxfxfxxxf，则3f的值为A.1 B.2 C.2D.311(山西省太原五中2012 届高三 4 月月考理科)若 R上的奇函数)(xfy的图象关于直线1x对称，且当10 x时，xxf2log)(，则方程)0(41)(fxf在区间)2012,2010(内的所有实数根之和为（B ）A.4020 B.4022 C.4024 D.4026 二、填空题：16.(山西省四校2012 届高三第三次联考理科)函数|1|,1()1()1,12xa xf xx若关于x的方程22()(23)()30fxaf xa有五个不同的实数解，则a的取值范围是_ _33(1,)(,2)22三、解答题：21(山西大学附中2012 年高三下学期三模理科)（本题满分12 分）设函数()(,)bf xaxa bRx，若()f x 在点(1,(1)f处的切线斜率为1（）用a表示 b；（）设()ln()g xxf x，若()1g x对定义域内的x恒成立，求实数a的取值范围；解：（）2()bfxax，依题意有：2(1)11bfaabbax；2（）1()ln()ln()1ag xxf xxaxx恒成立.()1g x恒成立即max()1g x.方法一：()1g x恒成立，则(1)11 101gaaa.精品资料-欢迎下载-欢迎下载名师归纳-第 2 页，共 5 页 -文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2学习好资料欢迎下载当1a时，221(1)(1)(1)(1)1()01,1a xxaxaxagxxxxxa110,xa2(0)0 x g，则(0,1)x，()0g x，()g x 单调递增，当(1,)x，()0g x，()g x单调递减，则max()(1)121g xga，符合题意；即()1g x恒成立，实数a的取值范围为1a；6（11(1)ln(1)10gaa矛盾；）若1a，110a，(0,1)x，()0g x，()g x 单调递增；当(1,)x，()0gx，()g x单调递减，则max()(1)121g xga，符合题意；综上，得()1g x恒成立，实数a的取值范围为1a；6 21(山西省山大附中2012 届高三 4 月月考文科)（本小题满分12 分）已知函数32()2f xxaxx.(aR).（1）当1a时，求函数)(xf的极值；（2）若对xR，有4()|3fxx成立，求实数a的取值范围精品资料-欢迎下载-欢迎下载名师归纳-第 3 页，共 5 页 -文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2学习好资料欢迎下载当x变化时，()fx，()f x的变化情况如下表：x1(,)3131(,1)31(1,)()fx+0 0+()f x单调递增极大单调递减极小单调递增-4分当13x时，函数()f x有极大值，15()=()2,327f xf极大-5分当1x时函数()f x有极小值，()(1)1fxf极小-6分113|2 3|23|3|xxxx，当且仅当13x时等号成立，11222aa-13分当0 x时，aR综上得实数a的取值范围为1 1,2 2.-14分21.(山西省太原五中2012 届高三 4 月月考理科)（本题满分12 分）已知函数eRxeaxxfx)()(2是自然对数的底数，71.2e）（1）当15a时，求)(xf的单调区间；（2）若)(xf在区间,1ee上是增函数，求实数a的取值范围；（3）证明eneneeen451312111232222对一切*Nn恒成立。精品资料-欢迎下载-欢迎下载名师归纳-第 4 页，共 5 页 -文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 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HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2学习好资料欢迎下载20.(满分 12 分)设 A（11,yx），B（22,yx），则22212212122,214kmxxkkmxx7 分精品资料-欢迎下载-欢迎下载名师归纳-第 5 页，共 5 页 -文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 ZS10K6S4Y9C2文档编码:CF6T1J6U10J4 HP7V8P9I7V9 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