名校
解题方法
1 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/caf4e040-c408-42a7-b3e8-144d109b4a90.png?resizew=194)
(1)判断函数的奇偶性,并利用定义证明;
(2)判断函数
单调性(不需要证明),并画出
的图像.
(3)若不等式
在区间
上恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c47b2d73a4858fe5a169a0964c7e878e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/caf4e040-c408-42a7-b3e8-144d109b4a90.png?resizew=194)
(1)判断函数的奇偶性,并利用定义证明;
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2bed605a16f9afd9b63861e02056a3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f0a7f52eb82472cce50381cbed1c16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
2 . 如图,已知直线
,
是
,
之间的一定点并且点
到
,
的距离分别为
,
,
是直线
上一动点,作
,且使
与直线
交于点
.设
.
面积
关于角
的函数解析式
;
(2)画出上述函数的图象;并根据图象求
的最小值;
(3)证明函数
的图象关于
对称.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdb9d8425d73a68731f30e0c0e22260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b53eab97158937f92039c1e133b0f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f285174fbf90a9742de57c1e53224cff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822ba132ca9dd0d4a050659aef3c9b26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c499d3ef329f85e59fd72dec6f453bbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd7229922fbb3ce09dada883f74fbb1.png)
(2)画出上述函数的图象;并根据图象求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd7229922fbb3ce09dada883f74fbb1.png)
(3)证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd7229922fbb3ce09dada883f74fbb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4120436d6ff0c58109473edc068257c3.png)
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名校
解题方法
3 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9069e6ca9f7842ec44cc65d177c282e9.png)
(1)证明
为偶函数;
(2)在如图所示的平面直角坐标系中,作出函数
的图象,并根据图象写出
的单调递增区间;
(3)求
在
时的最大值与最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9069e6ca9f7842ec44cc65d177c282e9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/18/b35d263f-d08e-4efe-b569-9d6913c33d54.png?resizew=168)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)在如图所示的平面直角坐标系中,作出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71caec84a4be2c3d7f14f5e25bca4d53.png)
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解题方法
4 . 已知
是定义在
上的奇函数,当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc41bbdf87d333096bf7281cf7301567.png)
(1)求
;
(2)求
的解析式,并画出函数图象,根据函数图象写出单调区间(无需证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc41bbdf87d333096bf7281cf7301567.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bce019702887214bda3444ed0492f6.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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名校
解题方法
5 . 已知函数
的图象过原点.
(1)当
时,求该函数的解析式,判断并证明其奇偶性;
(2)若该函数图象无限接近直线
但又不与该直线相交.
①求
和
的值;
②请画出该函数图象,并写出其单调区间(不必证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fec27becd5bcdcfa14f988539555d833.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
(2)若该函数图象无限接近直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9355031ea0b2dc9cef3777621bc6d38.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
②请画出该函数图象,并写出其单调区间(不必证明).
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6 . 已知函数
.
(1)用分段函数的形式表示该函数;
(2)在右边所给的坐标系中画出该函数的图象;
(3)写出该函数的定义域、值域、奇偶性、单调区间(不要求证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c458a98a4403a5f3e9ec47faa0b2af6a.png)
(1)用分段函数的形式表示该函数;
(2)在右边所给的坐标系中画出该函数的图象;
(3)写出该函数的定义域、值域、奇偶性、单调区间(不要求证明).
![](https://img.xkw.com/dksih/QBM/2012/11/8/1571057417953280/1571057423613952/STEM/9216d833c02344f1b7c909d2a4169b2e.png)
您最近一年使用:0次
2016-12-02更新
|
1098次组卷
|
3卷引用:重庆市蜀都中学2020-2021学年高一上学期第三次月考阶段性测试数学试题
重庆市蜀都中学2020-2021学年高一上学期第三次月考阶段性测试数学试题(已下线)2012-2013学年河南省洛阳理工学院附中高一10 月月考数学试卷黑龙江省伊春市伊美区第二中学2019-2020学年高一上学期第一次月考数学试题
解题方法
7 . 如图,定义在
上的函数
的图像为折线段
.
![](https://img.xkw.com/dksih/QBM/2015/12/22/1572378571390976/1572378577600512/STEM/444aead5781241bcaaac0884c1e7ab71.png?resizew=170)
(1)求函数
的解析式;
(2)请用数形结合的方法求不等式
的解集,不需要证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa66623cf54b42d6d12be4c8edaa7071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cf468f5132e14ee1d8cc766808b11af.png)
![](https://img.xkw.com/dksih/QBM/2015/12/22/1572378571390976/1572378577600512/STEM/444aead5781241bcaaac0884c1e7ab71.png?resizew=170)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)请用数形结合的方法求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d94d5a4579e946f458aa9983f56d1fda.png)
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