已知函数
.
(1)求函数取得最大、最小值时自变量
的集合;
(2)判断函数的奇偶性并证明;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/277ce2c38b267b2a98c4f758bbbc1531.png)
(1)求函数取得最大、最小值时自变量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)判断函数的奇偶性并证明;
21-22高一下·陕西渭南·阶段练习 查看更多[3]
陕西省渭南高级中学2021-2022学年高一下学期第三阶段考试数学试题(已下线)专题5.8 三角函数的图象与性质-重难点题型检测-2022-2023学年高一数学举一反三系列(人教A版2019必修第一册)(已下线)5.4.2 正弦、余弦函数的单调性与最值(第2课时)(分层作业)-【上好课】
更新时间:2022-10-30 21:33:26
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【推荐1】已知函数
(
,
为常数,且
),满足
,方程
有唯一解.
(1)求函数
的解析式
(2)如果
不是奇偶函数,证明:函数
在区间
上是增函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2fc102eefee36185e3863b742df6290.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/9a68dbd91d6de68b550a5745ecd461d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9da4fdfdddc259dcef9fdd4b826b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b2798c6a26d02c5d2c8b1355c8c30.png)
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【推荐2】判断函数
(
且
)的奇偶性,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c0672ec291f502c86e1a0e6589bcc47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
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解题方法
【推荐1】求下列各式的值:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b3fa27a7a8b6e866d8abc13a61da346.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ff38e095249c85482be1dd37148832.png)
(3)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b3fa27a7a8b6e866d8abc13a61da346.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ff38e095249c85482be1dd37148832.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9d781938328245c689dddd7517a93fc.png)
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【推荐2】如图,
是单位圆
上的点,且点
在第一象限,点
在第二象限,
是圆与
轴正半轴的交点,
点的坐标为
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/bb97ef3a-a601-4608-815a-fb2da8217ec2.png?resizew=146)
(1)求
的值;
(2)设
,求
,
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38e20fa6f888fef5e83d4cd672b2f630.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac51bffb8f476896081027b33f7ec25d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/bb97ef3a-a601-4608-815a-fb2da8217ec2.png?resizew=146)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f7983aade7a7c61f065c5bd3569fbd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7d5ef3a3d9a03be91135fc426d57cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
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【推荐1】已知函数
(1)求
的最小正周期和单调递增区间;
(2)若
,求
的最小值及取得最小值时对应的
的取值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5209fbf46203db3642e655420f0cd13.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/691c1fc50ea793ea08748cb75bae70e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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【推荐2】已知函数
正周期为
.
(1)当
时,求函数
的最大值与最小值:
(2)在△ABC中,角A,B,C的对边分别为
,若
,求sinC.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b5c2d892e2d22f68d83ff52f4f54365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b42048481d02f1112bbcd877790334.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)在△ABC中,角A,B,C的对边分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c771e5d87fe37daaa9e116c7990f8fd.png)
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【推荐1】已知函数
.
(1)判断函数y=f(x)的奇偶性,并说明理由;
(2)求函数y=f(x)在
的零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6794053141dd06c13dd422b3869bb5.png)
(1)判断函数y=f(x)的奇偶性,并说明理由;
(2)求函数y=f(x)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8938db94f49dcbe0c383fba0241bb0da.png)
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【推荐2】给出下列命题:
①函数
是奇函数;
②函数
的图象关于点
成中心对称;
③若
是第一象限角且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c50324bc1a0829c26f4abfd1df6c0b.png)
④
是函数
的一条对称轴;
其中正确命题的序号为 .(用数字作答)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a110d75f24984a9432f2fba8a84155e2.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ecf2e8c771d394db31169b5813fcc8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76823b105f0af52464724aa4b28e69d6.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f1c8146d084248c9c65dd8a11801905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf7836a92cc00f2afb95e28ad2fec15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c50324bc1a0829c26f4abfd1df6c0b.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00c4988d620f2cb57c94fe1698c4374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1213582eafdc2c73faafb6d4da4bd8.png)
其中正确命题的序号为 .(用数字作答)
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