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1、高三数学一轮复习 10.4 基本不等式一、课标要求：1.解基本不等式及成立条件.2.能应用基本不等式判断大小求最值.3.应用基本不等式解决实际问题和综合问题.二、重难点:1.重点:正确应用基本不等式进行判断和计算.2.难点:基本不等式的变形应用.三、教学方法:以启发引导,探索发现为主导.讲解练习为主线.用一题多解,一题多变突出重点,突破难点.以综合应用提高分析解决问题的能力,培养创新能力.四、教学过程:(一)、学情评估,导入新课:1.下列不等式中不一定成立的是()A.222ababB.222()ababC.12aaD.2212aa2.0,0,2mnmn，则mn的最大值为。3.0,0 xy，且1
2、91xy，则xy最小值是。(二)、探求、归纳知识体系：1.基本不等式：222abab（,a bRxy）2abab(0,0)ab2baab(0)ab变形：222()22ababab2222ababab(,)a bR2.基本不等式与最值：若,x yR和定积最大：若xys，则24sxy（当且仅当xy时“=”成立）积定和最小：若xyp，则2xyp（当且仅当xy时“=”成立）注意一：要用此结论需满足三个条件：简称：一正二定三相等注意二：条件不足时可通过拆分与配凑创设条件。（三）基本不等式的应用：例一：设0,0 xy，且440 xy，求lglgxy的最值变式训练.若221xy，求(1)(1)xyxy的最小
3、值。（变形应用）.函数214yxx的最大值为。例二：若0 x，求12()3f xxx的最小值。若0 x，求12()3f xxx的最大值。归纳：1(0)yxxx的值域是什么？变式训练二:求4()3lglgf xxx，(1)x的最小值。（变形应用）求14245yxx，5()4x的最小值。（对比应用）若12x，则1xx的最大值为。文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6
4、H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8
5、 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M
6、6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V
7、6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F
8、9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M
9、5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:
10、CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5例三：（能力提高）若正数,x y满足21xy求11xy的最小值。变式训练三.已知0,0 xy，且191xy，则xy最小值为（）A.12 B.16 C.6 D.24 例四某商品进货价为每件50 元。据市场调查，当售价（每件x元）在5080 x时，每天售出的件数5210(40)px，若想每天获利最多，价格应定为每件多少元?例五（反思）辨析正误，错的说出原因。求225()2loglogxxf x（01x）的最值。解：225()22 log22
11、5logxxf x求224()sinsinf xxx的最小值。解：222244()sin2 sinsinsinf xxxxx4四：课堂小结：这一节课的收获是：文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6
12、H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8
13、 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M
14、6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V
15、6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F
16、9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M
17、5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5五：走向高
18、考（达标检测）1.（07 海南）已知0,0.,xyx a b y成等差数列。,x c d y成等比数列。则2()abcd的最小值是（）A.0 B.1 C.2 D.4 2(05 全国)21cos28sin0,()2sin2xxxf xx最小值是（）A.2 B.23 C.4 D.4 33(07 上海)若,x yR,且41xy，则xy最大值为。4（07 山东）点A(-2,-1)在直线10mxny上,其中0mn,则12mn的最小值为 .5.(06 天津)某公司一年购买某种货物400 吨,每次都购买x吨,运费为 4 万元/次,一年的总存储费用4x万元.要使一年的总运费与总存储费用之和最小则x为多少吨?六
19、.(反思)基本不等式在高考中怎么考?你能力达到要求了吗？七课后作业：三维设计达标检测（再练一练！）文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M
20、5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:
21、CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6
22、H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8
23、 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M
24、6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5文档编码:CN10I6H8R7P8 HG10M6S9A5V6 ZT3F9H7M4M5