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1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a5a951a4a8df40e4779d213f33ee8e6.png)
在一个周期上的图象(先在所给的表格中填上所需的数字,再画图);
(2)求
在区间
上的最大值和最小值及相应的
值.
(3)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a5a951a4a8df40e4779d213f33ee8e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
0 | |||||
x | |||||
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26ae54737caa621832628479fa0de30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/705e64c6f20c5ba1bfeeb92eb2a31b04.png)
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2 . 已知函数
(
)图象的一个对称中心为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2626a5bdd100424d2416a665ba0e9518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7c9e46448bc791c441ca02d8f4508eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b212e0d4339cbd3d236a807547ebf6.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() ![]() |
D.将![]() ![]() |
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3 . 将函数
向右平移
个单位,得到函数
,下列关于
的说法一定正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb2f83d8f6109f6da8536d771875bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
A.当![]() ![]() ![]() |
B.![]() ![]() |
C.当![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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4 . 已知函数
.
(1)求函数
的最小正周期和对称轴方程;
(2)若函数
在
上有2个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/924c64a597302fb73dc44109fdc88de3.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37c053fa2da356f77df641d07c32b975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb617f10398c8c7d7df67e5ad0572094.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . 已知函数
,若
在区间
内恰好有2022个零点,则n的取值可以为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd09defec12f97d564a4cbc656c0ea67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e55f35de963b5d2005054f0487bb6a7.png)
A.2025 | B.2024 | C.1011 | D.1348 |
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2024高三·全国·专题练习
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解题方法
6 . 已知函数
的图像关于直线
对称,且图像上相邻两个最高点的距离为
.
(1)求
和
的值;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4ab247c7377354297f144ac986d690e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f56a20bc5fce6b02217627b42249854.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21866550e6e52b0d7d747ec8ef7da64d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f72fad1ca837804a83a3555da43e93.png)
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7 . 在
中,“
”是“
为等腰三角形”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59cfde25878aba897cadb1806f4b394c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
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8 . 已知函数
(其中
,
,
)的部分图象如图所示,将函数
图象上所有点向左平移
个单位长度,得到函数
的图象,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8665842489bc1b588fa43d34730fd1d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0bd1d8ba7768bf86a5758f2024d9f48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
9 . 如图,已知圆柱的斜截面是一个椭圆,该椭圆的长轴
为圆柱的轴截面对角线,短轴长等于圆柱的底面直径.将圆柱侧面沿母线
展开,则椭圆曲线在展开图中恰好为一个周期的正弦曲线.若该段正弦曲线是函数
图象的一部分,且其对应的椭圆曲线的离心率为
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194511e8a8bf2c1eb4180ed382e5f68b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.![]() | B.1 | C.![]() | D.2 |
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2024-05-27更新
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1082次组卷
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5卷引用:广西2024届高中毕业班5月仿真考试数学试卷
广西2024届高中毕业班5月仿真考试数学试卷重庆市第八中学校2023-2024学年高三下学期高考模拟(三)数学试题(已下线)压轴题07三角函数与正余弦定理压轴题9题型汇总-2四川省成都市锦江区嘉祥外国语高级中学2024届高三第一次诊断性考试理科数学试题(已下线)专题4 立体几何中的动态问题【讲】
解题方法
10 . 对于分别定义在
上的函数
以及实数
若存在
使得
则称函数
与
具有关系![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9902e568d7b1f5229f6ebf5c43e18ab.png)
(1)若
判断
与
是否具有关系
并说明理由;
(2)若
与
具有关系
求实数
的取值范围;
(3)已知
为定义在
上的奇函数,且满足:
①在
上,当且仅当
时,
取得最大值1;
②对任意
有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67cba3a83a7d7f44570a197db5c9111.png)
判断是否存在实数
使得
与
具有关系
若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee5f7f88d327670ad628ace52f5b792f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e924e716802ea0e503812d4168de1ae0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb097db757dcce8d1e114eaa35cfb5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e2c9050bc59bcfe21e528bf1e336996.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9902e568d7b1f5229f6ebf5c43e18ab.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b4efcf59a67eda20aff6a74fd1b5102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c217be22ee74ee758755bc18917e3eae.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67240f24d5be6db366b4f218003d8896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a17a7dd0a9319f92eec1ac43eb93106d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ea020f6ee69455b961fa9fed5e82dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0446794d4e31bb0bd3907b1dd27dbd6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
①在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57a78355986534b6e50bd7cabc9290a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede97915bccd6a7b22d7400c30f8adea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
②对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bbce12f6911dacf78262ba950c0be55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67cba3a83a7d7f44570a197db5c9111.png)
判断是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed0e00c9b96bf8b70b3ea1de85852ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65353833b295abc6a7ddd390046f69c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b4942cf1c67cc84090c77e373809d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d869a4478e36efba14ec203efbd00342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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