满分5 > 高中数学试题 >

已知 (1)若p >1时,解关于x的不等式; (2)若对时恒成立,求p的范围.

已知6ec8aac122bd4f6e

(1)若p >1时,解关于x的不等式6ec8aac122bd4f6e

(2)若6ec8aac122bd4f6e6ec8aac122bd4f6e时恒成立,求p的范围.

 

(1) ①, ② p = 2时,解集为, ③ p > 2时,解集为;  (2) p > 2 【解析】 试题分析:(1)先因式分解把原不等式转化为.再对三个根的大小进行讨论求解. (2)解本小题的关键是把,, ∴ 恒成立,最终转化为恒成立来解决,然后再构造函数求最值即可. (1) ·························· 1分 ①················· 3分 ② p = 2时,解集为····················· 5分 ③ p > 2时,解集为·················· 7分 (2) ··························· 8分 ∴ 恒成立 ∴ 恒成立················· 9分 ∵ 上递减···················· 10分 ∴ ····························· 11分 ∴ p > 2    12分 考点:解式不等式的解法,不等式恒成立,函数的最值.
复制答案
考点分析:
相关试题推荐

如图,在四棱锥6ec8aac122bd4f6e中,6ec8aac122bd4f6e6ec8aac122bd4f6e,且6ec8aac122bd4f6e,E是PC的中点.

6ec8aac122bd4f6e

(1)证明:6ec8aac122bd4f6e;  

(2)证明:6ec8aac122bd4f6e

 

查看答案

已知:6ec8aac122bd4f6e6ec8aac122bd4f6e的内角,6ec8aac122bd4f6e分别是其对边长,向量6ec8aac122bd4f6e6ec8aac122bd4f6e6ec8aac122bd4f6e.

(Ⅰ)求角A的大小;

(Ⅱ)若6ec8aac122bd4f6e6ec8aac122bd4f6e的长.

 

查看答案

实数6ec8aac122bd4f6e是分别从集合A={1,2,3,4}中随机抽取的元素,集合B=6ec8aac122bd4f6e

(1)写出使6ec8aac122bd4f6e的所有实数对6ec8aac122bd4f6e

(2)求随机抽取的6ec8aac122bd4f6e6ec8aac122bd4f6e的值满足6ec8aac122bd4f6e6ec8aac122bd4f6e的概率.

 

查看答案

已知两条直线6ec8aac122bd4f6e ::y=m 和6ec8aac122bd4f6e:y=6ec8aac122bd4f6e(m>0),直线6ec8aac122bd4f6e与函数6ec8aac122bd4f6e的图像从左至右相交于点A,B , 直线6ec8aac122bd4f6e与函数6ec8aac122bd4f6e的图像从左至右相交于C,D .记线段AC和BD在X轴上的投影长度分别为a 和b .当m 变化时,6ec8aac122bd4f6e的最小值为            .

 

查看答案

给定下列命题:

①半径为2,圆心角的弧度数为6ec8aac122bd4f6e的扇形的面积为6ec8aac122bd4f6e

②若6ec8aac122bd4f6e6ec8aac122bd4f6e为锐角,6ec8aac122bd4f6e6ec8aac122bd4f6e,则6ec8aac122bd4f6e

③若6ec8aac122bd4f6e6ec8aac122bd4f6e是△6ec8aac122bd4f6e的两个内角,且6ec8aac122bd4f6e,则6ec8aac122bd4f6e

④若6ec8aac122bd4f6e分别是△6ec8aac122bd4f6e的三个内角6ec8aac122bd4f6e所对边的长,6ec8aac122bd4f6e,则△6ec8aac122bd4f6e一定是钝角三角形.

其中真命题的序号是           

 

查看答案
试题属性

Copyright @ 2008-2019 满分5 学习网 ManFen5.COM. All Rights Reserved.