2021年文科第二章函数第3节二次函数与幂函数.pdf

1 第二章函数第 3 节 二次函数与幂函数题型 19 二次函数图像及应用1.(2013 浙江文 7）已知,a b cR，函数2fxaxbxc.若041fff，则（）.A.0a，40abB.0a，40abC.0a，20abD.0a，20ab1.分析根据条件可确定函数图象的开口方向和对称轴，化简即得.解析因为041fff，所以函数图象应开口向上，即0a，且其对称轴为2x，即22ba，所以40ab，故选 A.2.(2013 辽宁文 12）已知函数2222fxxaxa，22228g xxaxa.设1maxHxfxg x，2minHxfxg x，max pq，表示pq，中的较大值，min pq，表示pq，中的较小值，记1Hx得最大值为A，2Hx得最小值为B，则AB（）.A.2216aaB.2216aaC.16D.162.分析：根据二次函数图象的特征解决解析由fxg x，得24xa，所以当2xa和2xa时，两函数值相等fx图象为开口向上的抛物线，g x图象为开口向下的抛物线，两图象在2xa和2xa处相交，则12,22,2,fxxaHxg xaxafxxa22,22,2,g xxaHxfxaxag xxa所以1min244AHxfaa，2max2412BHxg aa,精品w o r d 学习资料 可编辑资料-精心整理-欢迎下载-第 1 页，共 3 页2 所以16AB故选 B.3.（2014 北京文 8）加工爆米花时，爆开且不糊的粒数占加工总粒数 的百分比称为“可食用率”.在特定条件下，可食用率p与加工时间t（单位：分钟）满足的函数关系2patbtc（a，b，c是常数），如图所示 记录了三次实验的数据.根据上述函数模型和实验数据，可以得到最佳加工时间为（）A.3.50分钟B.3.75分钟C.4.00分钟D.4.25分钟3.解析由已知得930.71640.82550.5abcabcabc，解得0.21.52abc，所以22115130.21.525416pttt，所以当153.754t时p最大，即最佳加工时间为3.75分钟.故选 B.评注本题主要考查二次函数及配方法求最值，考查学生的计算能力，利用待定系数法求出a，b，c是解题关键.题型 20 二次函数“动轴定区间”“定轴动区间”问题 暂无题型 21 二次函数、一元二次方程、二次不等式的关系 暂无题型 22 二次函数图像恒成立问题暂无题型 23 幂函数的图像与性质 暂无题型 二次方程的实根分布及条件暂无题型幂函数的定义及基本性质 暂无题型幂函数性质的综合应用 暂无O5430.80.70.5tp精品w o r d 学习资料 可编辑资料-精心整理-欢迎下载-第 2 页，共 3 页文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 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HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G53 题型二次方程200axbxca的实根分布及条件 暂无精品w o r d 学习资料 可编辑资料-精心整理-欢迎下载-第 3 页，共 3 页文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 HJ6T5D5X3B3 ZG5R2D7A6G5文档编码:CW4X9B1A6N5 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