1 . 若函数
在
内的最小值小于0,且最小值点(即取得最小值时所对应的自变量)唯一,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f24ef089651a38e224ac4275cc0419c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55cfcbb5c5950e18a8452b38bb17036.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知函数
的最小正周期为
,
,且
在区间
内有极小值无极大值,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2afc3ff03a15347e4b1e270d34825953.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5ace226c11ca2dc739f89a807eea4a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8005cb715fa68a8412a3395e036fa56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e68d62482d548bcd517188178fd36bc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
A.![]() | B.![]() | C.![]() | D.2 |
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3 . 已知函数
请在下面的三个条件中任选两个解答问题.①函数
的图像过点
;②函数
的图像关于点
对称;③函数
相邻两个对称轴之间距离为
.
(1)求函数
的解析式;
(2)当
时,是否存在实数
满足不等式
?若存在,求出
的范围,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27cee61f9d632f7e04d85ad53784e684.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ceef76e9b1de605c4eaf4443402fbd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff758ba8d053e1a518e9aac88b53dfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/558e5164dd5bc085d892cd82072fa8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2da2066ddaaae09ee3a2998cf3ffce29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4 . 若函数
满足
,且
,
,则称
为“
型
函数”.
(1)判断函数
是否为“
型
函数”,并说明理由;
(2)已知
为定义域为
的奇函数,当
时,
,函数
为“
型
函数”,当
时,
,若函数
在
上的零点个数为9,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4507b17a17ff47358e4cd01a48025522.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79aee38af513b812038e5d9eb0c67c6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42fd89ae03df9499a37df8893edc0329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bcf5c39cd6005441157b4a871279af7.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9f049a5f960728c60a909821b2404b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa951a727b38bb328957cbe4813e171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0d3be86b97b440b5a3559340c485a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4056900c3e5389df60f2f875e873dcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ec330cc887a2230871d2e7c6592387.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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5 . 已知函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d4f285b856351352518dda811837a02.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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6 . 已知函数
的部分图象如图所示,则
在
上的值域为( ).
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/2/aee3093d-eb4c-4e2f-a5f6-3fa5cfedc751.png?resizew=180)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13c0d86a0a9ab1ec3836aa1a97dca47c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f8879c9994fe5c7681d7a754be0279.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/2/aee3093d-eb4c-4e2f-a5f6-3fa5cfedc751.png?resizew=180)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7 . 已知函数
在
上存在零点,且在
上单调,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b53f309ff3e0c6c3f7403baa0275b074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fed440b9f974492068a68203e5029f98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/562addd76d05a0ea021acc513b282f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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河南省新乡市2023届高三下学期第二次模拟考试理科数学试题河南省新乡市2023届高三第二次模拟考试数学(文科)试题(已下线)专题01三角函数的图象与性质(已下线)专题05三角函数与解三角形(选填)(已下线)专题05三角函数与解三角形(选填)江西省南昌市江西师大附中2024届高三上学期期中数学试题理科数学-【名校面对面】河南省三甲名校2023届高三校内模拟试题(六)
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8 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a498f7189f1e92aceb5394384349bd3.png)
在
上有3个极值点,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a498f7189f1e92aceb5394384349bd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff46406cf7f298db70f81da8ea0ea4e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 已知函数
,其图像相邻两条对称轴之间的距离为
,且函数
是奇函数,则下列判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a315980fc946abaae3e813a26a2a98de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c863b4be465ca123e8bcdc0b55d4b968.png)
A.函数f(x)的最小正周期为![]() | B.函数f(x)的图像关于点(![]() |
C.函数f(x)在![]() | D.函数f(x)的图像关于直线![]() |
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10 . 已知函数
,且
,
在
上的图像与直线
恰有2个交点,则
的值可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a8b6778f22bcefca1f2a449f848781b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/988538fd91ddbfbf7360ba2bad74a983.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0145c944dd3216b95c2fe55aa2fb17f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa400ae46d92f9c0f2bf80f782bcc51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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