2022年《29第九节函数与方程》教案 .pdf
第九节函数与方程适用学科数学适用年级高三适用区域新课标课时时长（分钟）60 知识点1.方程的根与函数零点的关系2.函数零点的判断方法3.二分法的概念4.用二分法求函数零点问题5.函数零点个数问题6.函数与方程的综合问题教学目标1.结合二次函数的图象，了解函数的零点与方程根的联系，判断一元二次方程根的存在性及根的个数2.根据具体函数的图象，能够用二分法求相应方程的近似解.教学重点函数的零点及二分法教学难点函数的零点及二分法教学过程一、课堂导入前面我们复习了函数有关的性质及几种常的函数，也研究过方程有关的问题那么，函数与方程之间有什么联系呢？今天我们就来研究这个话题文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9二、复习预习1.函数图像的作法2.函数图像的变换三、知识讲解考点 1 函数的零点(1)定义：对于函数 yf(x)(xD)，把使 f(x)0 成立的实数 x 叫做函数 yf(x)(xD)的零点(2)函数的零点与相应方程的根、函数的图象与x 轴交点间的关系：方程 f(x)0 有实数根?函数 yf(x)的图象与 x 轴有交点?函数 yf(x)有零点(3)函数零点的判定(零点存在性定理)：如果函数 yf(x)在区间 a，b上的图象是连续不断的一条曲线，并且有f(a)f(b)0)的图象与零点的关系 0 0 0 文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9二次函数 yax2bxc(a0)的图象与 x 轴的交点(x1,0)，(x2,0)(x1,0)无交点零点个数两个一个零个考点 3 二分法的定义对于在区间 a，b上连续不断且 f(a)f(b)0，f 12e124 123e1210，因此函数 f(x)ex4x3 的零点不在区间34，12上；对于 B，注意到 f 120，f 14e144 143e14241420，因此在区间12，14上函数 f(x)ex4x3 一定存在零点；对于C，注意到 f 140，f(0)20，因此函数 f(x)ex4x3 的零点不在区间14，0 上；对于 D，注意到 f(0)20，f14e144143e1440，即函数 f(x)在(0，)上单调递增由 f(2)ln 210，知 x0(2，e)，g(x0)x02.文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9【例题 2】【题干】已知符号函数 sgn(x)1，x0，0，x0，1，x0，即 x1 时，f(x)1ln x，令 f(x)0 得 xe1；当 x10，即 x1 时，f(x)0ln 10；当 x10，即 x1 时，f(x)1ln x，令 f(x)0 得 x1e0)(1)若 yg(x)m 有零点，求 m 的取值范围；(2)确定 m 的取值范围，使得g(x)f(x)0 有两个相异实根【解析】(1)法一：g(x)xe2x2 e22e，文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9等号成立的条件是xe，g(x)的值域是 2e，)因而只需 m2e，则 yg(x)m就有零点法二：作出 g(x)xe2x(x0)的大致图象如图：可知若使 yg(x)m 有零点，则只需 m2e.(2)若 g(x)f(x)0 有两个相异的实根，即g(x)与 f(x)的图象有两个不同的交点，作出 g(x)xe2x(x0)的大致图象 f(x)x22exm1(xe)2m1e2.其图象的对称轴为 xe，开口向下，最大值为m1e2.故当 m1e22e，即 me22e1 时，g(x)与 f(x)有两个交点，即g(x)f(x)0 有两个相异实根 m的取值范围是(e22e1，)文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9【例题 4】【题干】(2012 福建高考)对于实数 a 和 b，定义运算“*”：a*ba2ab，a b，b2ab，ab.设 f(x)(2x1)*(x1)，且关于 x 的方程 f(x)m(mR)恰有三个互不相等的实数根x1，x2，x3，则 x1x2x3的取值范围是 _【答案】1316，0【解析】由定义可知，f(x)(2x1)*(x1)2x12 2x1 x1，x0，x12 2x1 x1，x0，即 f(x)2x2x，x0，x2x，x0.作出函数 f(x)的图象，如图所示，关于 x 的方程 f(x)m 恰有三个互不相等的实根x1，x2，x3，即函数 f(x)的图象与直线 ym 有三个不同的交点，则0m0 时，x2xm，即 x2xm0，x2x31，0 x2x3x2x322，即 0 x2x314；当 x0 时，由2x2x14，x0，得 x134，134x10.0 x1314.文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P9文档编码:CZ8A10Q1O4W2 HR3G10Y3Z7L6 ZE7R9J4J3P90 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