2022高三·全国·专题练习
1 . 若将函数
的图象向右平移
个单位,所得图象关于
轴对称,则
的最小正值是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c5c12d634d89fa6c1db1b95759efd08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
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8卷引用:重庆市永川北山中学校2024届高三下学期高考预测卷(最后一套)数学试题
重庆市永川北山中学校2024届高三下学期高考预测卷(最后一套)数学试题(已下线)专题01三角函数的图象与性质-讲案 (文科)第一篇 热点、难点突破篇-《2022年高考文科数学二轮复习讲练测》(全国课标版)(已下线)第04讲 三角函数-【寒假自学课】2022年高一数学寒假精品课(苏教版2019必修第二册)(已下线)类型三 三角函数中的范围、最值问题-【题型突破】备战2022年高考数学二轮基础题型+重难题型突破(新高考专用)(已下线)7.3 三角函数的图象和性质(4)(已下线)第15题 三角函数图象定式,各类性质一目了然(优质好题一题多解)(已下线)专题09 三角函数填空题(理科)-1(已下线)专题05 高一下期末考前必刷卷03-期末考点大串讲(人教A版2019必修第二册)
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解题方法
2 . 若定义域为
的奇函数
满足
,且其图象过点A,点A为函数
(
且
)的图象所过定点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a580cb582c782207eea3e1387cc627.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c614528ecc55866008161dae107b748d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fba6a56ed9da2f62e0d243a9cb23a4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a580cb582c782207eea3e1387cc627.png)
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3 . 已知
,
且
,则
的最小值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e189dbc979fad6bf8ca03ac1388cbac0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731bdc8d2686a05f12a2ba8a7e3b01be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c781e4cba6577e9fa4a9ea22407eb93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/264977ec89caac6d99ad56d8ae8b142d.png)
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4 . 设椭圆
的焦点为
是椭圆上一点,且
,则
的面积为__________ (用含
或
的式子表示即可)若
的外接圆和内切圆的半径分别为
,
,当
时,椭圆的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ed463bf16c78a4bbb9d3acff922afa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db634c178cd7bffbd4cb886e3f2cca22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/002ed1ebb2cb936e10ab478789f91c7c.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/002ed1ebb2cb936e10ab478789f91c7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f773c218d2466baef4f278de9d0d6f7c.png)
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5 . 已知幂函数
在
上是减函数,
.若
,则实数
的取值范围为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a20d7ceb5302e7bf0767e089dc79374e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29d37a57420d5e3091ddf17df03b6fb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 已知函数
,满足
的
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1d81f8c938a9c413502f08e391fe5ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/366a46193d8c0045cce47b2edca76758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
7 . 设
,
表示不超过
的最大整数,关于函数
有下列结论:
①
是奇函数;②
的值域为
;③
在区间
上单调递增;④
,
,其中正确结论的序号是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602c6c52cae281dc7dad9bc7cc07d6bb.png)
①
![](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/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dac47c1b6230edf33b5a1c76b75025de.png)
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解题方法
8 . 设定义在
上的函数
在
单调递减,且
为偶函数,若
,且有
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c36c3781d5caf82f3749cd503d23ad6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d7661d3fc28f785b438ad8c8f9d240a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0c252ac641a99fbd90e65ac0c6123d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dcf4943c2841bcf57aad3ec450fa247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/802c03d9a09732eb2684bcafbae9fbb8.png)
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解题方法
9 . 已知定义在
上函数
的图象是连续不断的,且满足以下条件:①
,
;②
,当
时,都有
;③
.则下列命题成立的是___________
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30529c12d199ba8b7c2a9682bf6fcb5e.png)
(2)若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eb1445e111fa555be56d427688118.png)
(3)若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a547db501e87e9bb060c30d05c988d75.png)
(4)
,
,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf116ecbdb894c1d05d5b3b5203c10a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3881fa7fc347ccb2d46de69dc041907d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b6fbd08afa059e0fd6196f6a5b8c31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a431537df789febf4bc45e3dc23cefaf.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30529c12d199ba8b7c2a9682bf6fcb5e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67179d5a781703d87f9217a9f0245fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eb1445e111fa555be56d427688118.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2c18c1e268d2aeeeb445f47a541007.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a547db501e87e9bb060c30d05c988d75.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8a6b7bfb9a5638f56f11a36cc0a465.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd5ac54a99b60c157af732e05972c837.png)
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解题方法
10 . 已知函数
与
,若对任意的
,都存在
,使得
,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b92c365582b2fcb997568cd4a1b97a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f16cea2e699b3a24a433af09437b69f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09af88d8438bfdf9abe9e5234e1abb8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0391e39aaeb4e3cc883b0439d7f69d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-11-30更新
|
570次组卷
|
4卷引用:重庆市永川区永川中学校2023-2024学年高一上学期第二次联考数学复习题(二)