题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171636-80642.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171636-57840.png)
①求a的值;
②若
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171636-70451.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171637-64923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171637-84378.png)
③设
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171637-94797.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171637-48936.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171637-38727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171638-39898.png)
解析
试题分析:①由幂函数的定义和性质可以知道
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171638-99103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171638-99103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171638-99103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171638-77134.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171638-84437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171638-60079.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171638-60079.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171639-22935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171639-93013.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171639-38580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171639-93013.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171639-80839.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171639-88517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171640-52664.png)
试题解析:①幂函数的图像与
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171640-50205.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171640-24009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171640-69481.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171640-93591.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171640-50649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171641-74390.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171641-86895.png)
又幂函数的图像关于原点对称,则有幂函数是奇函数,
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171641-74390.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171641-47773.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171641-86895.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171641-43378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171641-86895.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171642-24687.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171642-21896.png)
又∵
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171638-77134.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171642-92261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171642-95329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171642-92261.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171642-69737.png)
又∵
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171643-62713.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171638-84437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171643-60252.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171643-54115.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171643-60252.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171643-57510.png)
综上知
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171637-48936.png)
②∵
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171643-99189.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171644-82843.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171644-87408.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171644-98293.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171644-59977.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171645-71846.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171645-58372.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171645-72913.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171645-64859.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171637-38727.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171645-86952.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171646-53752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171646-53377.png)
③∵
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171646-39616.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171646-93958.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171646-67386.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171646-99098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171647-87549.png)
=
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171647-18036.png)
=
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171647-73488.png)
=
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171647-74445.png)
=
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171648-55810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171648-16867.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171648-89132.png)
核心考点
试题【已知幂函数的图象与x轴,y轴无交点且关于原点对称,又有函数f(x)=x2-alnx+m-2在(1,2]上是增函数,g(x)=x-在(0,1)上为减函数.①求a的】;主要考察你对函数的相关概念等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171620-81731.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171620-22679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171620-80027.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171521-59842.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171521-88200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171521-98428.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171501-40095.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171501-21520.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171501-99922.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171502-76906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171502-93506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171502-82528.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171502-64115.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171503-79206.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171503-59184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171502-82528.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171502-82528.png)
A.1 | B.2 | C.3 | D.4 |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171444-57407.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171444-60848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171444-39022.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171444-63557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171445-17262.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171445-30489.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171445-26576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171444-60848.png)
(1)试验证
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171445-38928.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171444-57407.png)
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171444-60848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171444-60848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171435-13431.png)
(1)求实数t的取值范围;
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171435-77218.png)
(3)过原点作两条相互垂直的直线分别交圆F于M、N、P、Q四点,求四边形
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204171435-68670.png)
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