名校
1 . 定义向量
的“伴随函数”为.
函数.
的“伴随向量”为 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a854b25cf3b9e8e29344c273fbcf0da.png)
(1)在
中,已知
点M 为边AB上的点,且
求出向量
的“伴随函数”
, 并直接写出
的最大值
;
(2)已知向量
函数
求函数
的“伴随向量”
的坐标;
(3)已知
向量
的“伴随函数”分别为
、
, 设
且
的“伴随函数”为
,其最大值为m. 求证: 向量
的充要条件为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b7fac7580249609cae6e1661f46603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a7ac204567c63bb09f9f77eccb4f33f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66655b7a6825b124ce596197bf2aa14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a854b25cf3b9e8e29344c273fbcf0da.png)
(1)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f700c81072d62ea8dab79827fe079ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/118155f8e69b4357c10c268e1626e1cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e723e57753f0a4fe1ef8ca1aee0e2117.png)
![](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/ac047e91852b91af639feec23a9598b2.png)
(2)已知向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96c97a2082d6f10ee9f1f9fdfcb40357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dce7cf69b669aed4b8cfc79abf4e302.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e723e57753f0a4fe1ef8ca1aee0e2117.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d48e306c486d1a8d5c94babc242e13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5b3d769fd3c7f81cdf25971039e9b3.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/ee1494c135e3724ebeb35aa2c0e1bf1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91174b2336306191ba275a87864172b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce3b04d127bd23abc88cdd77d091a7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f99586040e486554f9a561c6a1567c10.png)
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名校
解题方法
2 . 已知函数
.
(1)当
时,求
的最值;
(2)当
时,关于
的不等式
有解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b28b21dbae9edb360ea96c1edb96e6.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/691c1fc50ea793ea08748cb75bae70e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e74fc7479e44217bfa27dbd75992b51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf755154fdddb396e7ed1a2352f1911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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3 . 已知函数
,若
,且
,则
的取值可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a14ad03b7a70a840be1dab4d50c5187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee92881f8c97ca01a2441b0c1960edc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1ffba68efa6b59d66744e54b9aeea54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知函数
满足:对
,有
,若存在唯一的
值,使得
在区间
上单调递减,则实数m的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e221ad8f28f138eac3d428051da7ace7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4a6f10336eaca61cb1a302a76f5757.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/402fca14f868a8d8c23294ec2c21cf85.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
5 . 已知函数
,若
,
,
,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4794be662f783b33ee48c6628e1d1628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1813e963c8bf1352c491a5c4c3874fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/341a76642cb554aed4d20e85e432046a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e149f42d544ba0e3d3d79788bdf922fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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2024·全国·模拟预测
6 . 已知函数
满足
,且
在区间
上恰有两个最值,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e467b4c7da182b63514e8f5cb19e932d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/543ef373b42d3052bdf552223771f5c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f041e45e00b71ff9773d2412e5de2d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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名校
7 . 设a为常数,函数
在区间
上恰有
个零点,求所有可能的正整数n的值组成的集合为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/171849cbf36955fcdad36feaf1cb5f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c07c496500d66cbd74e1070e1c7c1d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8e8936c9fe1e81726455908657a29fc.png)
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名校
8 . 如图是函数
(
,
,
)的部分图像,M,N是它与x轴的两个不同交点,D是M,N之间的最高点且横坐标为
,点
是线段DM的中点.
的解析式;
(2)若
时,函数
的最小值为
,求实数a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fcd3cea5f5e2fe943490dcb65d74c73.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/af87a22a39bd12c4734b0bdf1596b42a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5389b197345ddd861b9eda4dc9e1fb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c02143be07f7f980c4a2a3bb37b87e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f322f4d15d76b0b5e69e7bf1b43b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
您最近一年使用:0次
名校
9 . 已知函数
,其中
.
(1)若
,
求
的值;
(2)若
,函数
图像向右平移
个单位,得到函数
的图像,
是
的一个零点,若函数
在
(
,
且
)上恰好有4个零点,求
的最小值;
(3)令
,将函数为
的图像向左平移
个单位得到函数
,已知函数
的最大值为10,求满足条件的
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4d718b2532bbcc1a451173fd8f11149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cefd79f1543ad922a07051288eb3d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b21e66b48a2053f6744333466f717769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83f95e85ce6707ff4161cc675665c557.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9895bf4192f5c55c16f8270d53c49b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbd8466b576ad34d6ef492599940f4b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8440725e1df5ca0990b572dd84127914.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7961cbe98aac6a5fdee94582c341b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
(3)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef3fe9e3034549db8d8a11a0faf53c99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c49ca8562b98657ca9c499093f7233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0acd201e18913a45b5e3486a7e522fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b39c5fa9d4d51abd4059d191b863a5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77da1116afb6684b885d463eb69758ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe84f65c9c4345ae5ddcdafa89e7273.png)
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2024-04-23更新
|
281次组卷
|
5卷引用:上海市嘉定区第一中学2023-2024学年高一下学期期中考试数学试卷
上海市嘉定区第一中学2023-2024学年高一下学期期中考试数学试卷(已下线)第四章 三角恒等变换(单元测试,新题型)-同步精品课堂(北师大版2019必修第二册)(已下线)专题06 期末解答压轴题-《期末真题分类汇编》(上海专用)(已下线)专题02 三角函数-期末考点大串讲(沪教版2020必修二)江苏省扬州市新华中学2023-2024学年高一下学期5月月考数学试题
名校
解题方法
10 . 已知函数
,且满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f62236c819a238dc10f9a8df101148.png)
(1)设
,若对任意的
,存在
,都有
,求实数
的取值范围;
(2)当(1)
中
时,若
,
都有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320be9aa2d2161ff5347ff58467937f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f62236c819a238dc10f9a8df101148.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d6c93538de6e4b451f68456268088ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81e6049c6361242d9b77e6cbe2750a4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57045228fec057c04c8a9a3423ee9d50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07328660ebedbdff25da3232065692f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d6c93538de6e4b451f68456268088ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb25b6bce7944fa58272673771ba14c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd1f9c884cc2749cafe965e550190c34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62709b4e2a66ac3a96ffc5944c4cc6e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-04-22更新
|
527次组卷
|
3卷引用:辽宁大连市滨城高中联盟2023-2024学年高一下学期4月月考数学试卷
辽宁大连市滨城高中联盟2023-2024学年高一下学期4月月考数学试卷辽宁省大连市长海县高级中学2023-2024学年高一下学期第一次月考数学试卷(已下线)模块三 专题2 解答题分类练 专题2 函数y=Asin(ωx+φ)的图像和性质(解答题)