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1、高考明方向1.了解指数函数、对数函数、幂函数的增长特征，结合具体实例体会直线上升、指数增长、对数增长等不同函数类型增长的含义2.了解函数模型(如指数函数、对数函数、幂函数、分段函数等在社会生活中普遍使用的函数模型)的广泛应用.备考知考情1.利用函数图象刻画实际问题及建立函数模型解决实际问题，是高考命题的热点2.常与函数的图象、单调性、最值以及基本不等式、导数的应用交汇命题，考查建模能力及分析问题和解决问题的能力3.选择题、填空题、解答题三种题型都有考查，但以解答题为主.一、知识梳理 名师一号 P35 知识点一几类函数模型函数解析式一次函数模型f(x)axb(a，b为常数，a0)二次函数f(x)
2、ax2bxc(a，b，c为常数，a0)模型指数型 函数模型f(x)baxc(a，b，c为常数，a0，且 a1)对数型 函数模型f(x)blogaxc(a，b，c为常数，a0，且 a1)幂函数型函数模型f(x)axnb(a，b 为常数，a0)知识点二三种增长型函数之间增长速度的比较1.指数函数 yax(a1)与幂函数 yxn(n0)：在区间(0，)上，无论 n 比 a 大多少，尽管在 x 的一定范围内 ax会小于 xn，但由于 ax的增长 快于 xn的增长，因而总存在一个x0，当 xx0时，有 axxn.2对数函数 ylogax(a1)与幂函数 yxn(n0)：对数函数 ylogax(a1)的增
3、长速度，不论a 与 n 值的大小如何，总会慢于 yxn的增长速度，因而在定义域内总存在一个实数 x0，当 xx0时，有 logaxxn由 1、2 可以看出 三种增长型的函数尽管均为增函数，但它们的增长速度不同，且不在同一个档次上，因此在(0，)上，总会存在一个x0，当 xx0时，有 axxnlogax.注意：名师一号 P36 问题探究问题 1、2 问题 1解决实际应用问题的一般步骤是什么？文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K
4、7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3
5、X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD
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7、6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4
8、L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:
9、CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8
10、HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8(1)审题：弄清题意，分清条件和结论，理顺数量关系，初步选择数学模型；(2)建模：将自然语言转化为数学语言，将文字语言转化为符号语言，利用数学知识，建立相应的数学模型；(3)求模：求解数学模型，得出数学结论；(4)还原：将数学问题还原为实际问题以上过程用框图表示如下：问题 2在解决实际应用问题时应注意哪些易错的问题？(1)函数模型应用不当，是常见的解题错误所以，要理解题意，选择适当的函数模型(2)要特别 关注实际问题的自变量的取值范围，合理确定函数的定义域(3)注意
11、问题反馈，在解决函数模型后，必须验证这个数学解对实际问题的合理性二、例题分析：（一）三种函数模型增长速度的比较例 1.名师一号 P36 对点自测 5、6 文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8
12、HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 Z
13、G4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编
14、码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z
15、8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3
16、 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文
17、档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C85.判断下面结论是否正确(请在括号中打“”或“”)(1)函数 2x的函数值比 yx2的函数值大()(2)幂函数
18、增长比直线增长更快()(3)不存在 x0，使 ax0 xn0logax0.()(4)f(x)x2，g(x)2x、h(x)log2x，当 x(4，)时，恒有 h(x)f(x)g(x)()答案(1)(2)(3)(4)思考：如何证明：任意x(4，)，x22x恒成立。6在某种新型材料的研制中，实验人员获得了下列一组实验数据现准备用下列四个函数中的一个近似地表示这些数据的规律，其中最接近的一个是()x 1.953.003.945.106.12 y 0.971.591.982.352.61 A.y2xBylog2xCy12(x21)Dy2.61cos x解析由表格知当 x3 时，y1.59，而 A 中 y
19、238，文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H
20、5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K
21、7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3
22、X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD
23、7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY
24、6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4
25、L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8不合要求，B 中 ylog23(1,2)接近，C 中 y12(321)4，不合要求，D 中 y2.61cos30，不合要求，故选B.（二）函数模型应用题例 1.名师一号 P36 对点自测 1 1.一根蜡烛长 20 cm，点燃后每小时燃烧5 cm，燃烧时剩下
26、的高度 h(cm)与燃烧时间 t(h)的函数关系用图象表示为图中的()ABCD解析由题意知 h205t(0t4)，故选 B.例 2.名师一号 P36 高频考点例 1(2014 武汉调研)在经济学中，函数 f(x)的边际函数 Mf(x)定义为：Mf(x)f(x1)f(x)某公司每月生产x 台某种产品的收入为 R(x)元，成本为 C(x)元，且 R(x)3 000 x20 x2，文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3
27、 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文
28、档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X
29、6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6
30、A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C
31、8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W1
32、0X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7
33、L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8C(x)500 x4 000(xN*)现已知该公司每月生产该产品不超过 100台(1)求利润函数 P(x)以及它的边际利润函数MP(x)；(2)求利润函数的最大值与边际利润函数的最大值之差解析：(1)由题意，得 x1,100，且 xN*.P(x)R(x)C(x)(3 000 x20 x2)(500 x4 000)20 x22 500 x4 000，MP(x)P(x1)P(x)20(x1)22 500(x1)4 000(20 x22 500 x4 000)2 48040 x.(2)P
34、(x)20 x1252274 125，当 x62 或 x63 时，P(x)取得最大值 74 120元；因为 MP(x)2 48040 x 是减函数，所以当x1 时，MP(x)取得最大值 2 440 元故利润函数的最大值与边际利润函数的最大值之差为 71 680元注意:名师一号 P36 高频考点例 1 规律方法二次函数是我们比较熟悉的基本函数，建立二次函数模型可以求出函数的最值，解决实际中的最优化问题，值得注意的是：一定要注意自变量的取值范围，文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X
35、1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7
36、H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6
37、K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L
38、3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:C
39、D7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 H
40、Y6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG
41、4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8根据图象的对称轴与定义域在数轴上表示的区间之间的位置关系讨论求解例 3.名师一号 P36 高频考点例 2 一片森林 原来面积为 a，计划每年砍伐一些树，且每年砍伐面积的百分比相等，当 砍伐到面积的一半 时，所 用时间是 10 年，为保护生态环境，森林面积至少要保留原面积的14，已知到今年为止，森林剩余面积为原来的22.(1)求每年砍伐面积的百分比；(2)到今年为止，该森林已砍伐了多少年？解析：(1)设每年降低的百分
42、比为x(0 x1)，则 a(1x)1012a，即(1x)1012，解得 x112110.(2)设经过 m年剩余面积为原来的22，则 a(1x)m22a，即文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8
43、HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 Z
44、G4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编
45、码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z
46、8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3
47、 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文
48、档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C812m101212，m1012，解得 m5，故到今年为止，该森林已砍伐了5 年注意:名师一号 P37 高频考点
49、例 2 规律方法(1)指数函数模型常与增长率相结合进行考查，在实际问题中有人口增长、银行利率、细胞分裂等增长问题可以利用指数函数模型来表示(2)应用指数函数模型时，关键是对模型的判断，先设定模型将有关已知数据代入验证，确定参数，从而确定函数模型(3)ya(1x)n通常利用指数运算与对数函数的性质求解例 4.名师一号 P37 高频考点例 3 某旅游景点预计2015年 1 月份起 前 x 个月的旅游人数的和 p(x)(单位：万人)与 x 的关系近似地满足p(x)12x(x1)(392x)(xN*，且 x12)已知 第 x 个月的人均消费额q(x)(单位：元)与 x 的近似关系是 q(x)(1)写出
50、 2015年第 x 个月的旅游人数f(x)(单位：人)与 x 的函数关系式；(2)试问 2015年第几个月旅游消费总额最大，文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4L3X1D8C8文档编码:CD7H5W10X6Z8 HY6K7R7L6A3 ZG4