解题方法
1 . 已知实数
、
、
,则下列结论正确的是( )
![](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/071a7e733d466949ac935b4b8ee8d183.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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解题方法
2 . 已知函数
,
.
(1)若角
顶点在坐标原点,始边为
正半轴,终边与单位圆交点的横坐标为
,求
的值;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e204e23c992bc385c220ac4644c40c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0ce2159a741f992a4c2fcdf7eabf198.png)
(1)若角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f8657de54481172ca9179c88c0c4c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48474435febb6f6bc9b62692a793d2e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26b45b4600ac083265a09ba7b326c59.png)
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解题方法
3 . 已知函数
是奇函数,则
的值为______ ;设
,若存在
,使
在区间
上的值域是
,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c31230aac020a87222b4f54b7c25bc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b5588afc52353ed599a3245135369a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b18edc6e2cea33c80b980949ed7d54f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31e72421c0d65e00edb2acce12abffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc3609700a12e22761fed5abfc5539a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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4 . 已知函数
的最小正周期为
,
为函数
的一个对称中心.
(1)求函数
的最小值,并求出取得最小值时自变量
的集合;
(2)设
,若对任意的
,都有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3b5447f3862798236dc34fea6b50a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ecd99ecc761ae5bde5b9712833a9ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/997b4f75f22d91886a90d7bebedaf113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a75b9d4dd4b18a1e59c5fb3b45379c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
5 . 设全集
,设函数
的定义域为集合
,集合
,其中
.
(1)当
时,求集合
;
(2)若“
”是“
”的充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a67a26d25f96b590b0e224e13ef81e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79bf71ed8a1f0bc7d47e21973a9c10e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c079bc669195490f6ce743f0236ae291.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9279c275a0d1e3967980c29474ad1b.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 已知
,
,用a,b表示
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf3935ea958cb302fcd9d89a9182b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b486bca1f81601dc8efbba747c3c28e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e4b82cb8c0eee89c20390cbc6e7eea.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 人类是数据的创造者和使用者,自结绳记事起,它就已慢慢产生,随着计算机和互联网的广泛应用,人类产生创造的数据量呈爆炸式增长,中国已成为全球数据总量最大、数据类型最丰富的国家之一,人类采集、存储和处理数据能力大幅提升,使数据应用渗透到我们生活中的每个角落.目前,数据量已经从
级别跃升到
,
乃至
级别.国际数据公司
的研究结果表明,2008年全球产生的数据量为
,2010年增长到
.若从2008年起,全球产生的数据量
与年份
的关系为
,其中
均是正的常数,则2024年全球产生的数据量是2023年的( )倍.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d98e11fd51415ab8e0b5d31df511cd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cec4b9e5cb0fe2e315f29879c006946.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cc93b2370a3cfba818db88d5cfd7934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6ff74b13af861f8d084696c0baa55c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb670680b7bd2bfcac4fec7c818256c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7d9eed71af934420124782a99fc3a6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49d76213e61b92427311a90214d5c869.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a2cdabfa5b6e1d8470f14b99ae33354.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/516f62e3e6c6c3ca1368046f74d257eb.png)
A.0.5 | B.2.25 | C.1.5 | D.15 |
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8 . 计算:
=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/719b04cbd26741e8d2a05fa1c618064b.png)
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名校
解题方法
9 . 已知函数
是R上的奇函数,且当
时,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/17/219092cc-eebe-4d56-a859-ca0a62927306.png?resizew=202)
(1)求函数
的解析式;
(2)在给定的坐标系中画出函数
的图象,并求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae041e1c32d0bcb2b8e297eed8433ef.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/17/219092cc-eebe-4d56-a859-ca0a62927306.png?resizew=202)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
(2)在给定的坐标系中画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9d810917b541e6884dc5568cb9a62c0.png)
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2024-01-27更新
|
221次组卷
|
3卷引用:江苏省宿迁市2023-2024学年高一上学期期末调研测试数学试题
10 . 函数
(
)的图象过点
,且在区间
上单调递增,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451c37c40d32be98ee2f8e58e20a09d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8460912e45cf6ff7267f2c45ccaa454b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55d0861bc59a7de38836f5f6ceba8b9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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