判断函数
的奇偶性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3bb9a95d67f9f5cd20f3d77f9b7c0f.png)
2024高三下·全国·专题练习 查看更多[1]
(已下线)易错点1 忽视函数的定义域
更新时间:2024-06-04 23:20:56
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解题方法
【推荐1】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640b28d20dd4a54287e650533fd0dd6a.png)
(1)求
奇偶性
(2)画出函数
的图像:
(3)求
,
的值域
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640b28d20dd4a54287e650533fd0dd6a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb433b1b78dbf82889ae82a689b8b46e.png)
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【推荐2】已知函数
,且
,
.
(1)确定函数
的解析式,并判断奇偶性;
(2)用单调性定义证明函数
在区间
上单调递增.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ff447ceeec013ec453d8a86ed3915f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6855784817151468771f29c0fc38fc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a49357761541c7f84466c45843073e5.png)
(1)确定函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)用单调性定义证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c82644f77c5455ceb7f94950e94273.png)
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【推荐3】已知函数
.
(1)判断函数
的奇偶性,并证明;
(2)用定义证明:
在区间
上单调递减.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0c7383b8ff3c7826d31b01251d8d63f.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
(2)用定义证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8065c840ec2313396be36ed5c72c7c95.png)
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【推荐1】已知角
的顶点与直角坐标系的原点重合,始边在x轴的正半轴上,终边经过点
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38b559f160470e4ae99634b95e2537c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/120add76d1a67d32a55dc9971a00e938.png)
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【推荐2】在
中,内角
,
,
的对边分别为
,
,
,已知
.
(1)求角
的大小;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9dd37bc166b2618a0df82bff3575c3.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a4d496bea80757ce78844f351fd5dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bef6cbb54eedb35d489e8c2259f5c370.png)
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【推荐3】已知
,
是第二象限角,求:
(1)
的值;
(2)
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7251a923e0453c036b10ee0091568b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae7e9b0634896e0010b677923dffd70.png)
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