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1 . 若
是方程
的两个实数根,试求下列各式的值:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b8897d3d434c9f4ac60eaf8ca0f406c.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c847f857b8d1788d4ba414b82840ef5e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6abf3f9b0ebcdc47a028c781b7edb9.png)
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2 . (1)化简:
;
(2)求方程
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef937ff3d3939ec00c2ccb3ad9a13848.png)
(2)求方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67bd4a53ea5aef1fb7aeabddbf4adb64.png)
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3 . 已知函数
.
(1)讨论函数
的单调性;
(2)若函数
有且仅有两个零点,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a15248fda64819646fb6fc552be647d6.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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4 . 某城市
户居民的月平均用电量
单位:度
,以
,
,
,
分组的频率分布直方图如图.
的值;
(2)在这
户居民中,月平均用电量不低于
度的有多少户?
(3)在月平均用电量为
,
的四组用户中,用分层抽样的方法抽取
户居民,则月平均用电量在
的用户中应抽取多少户?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efba7147f5b9ced8bc4a72f0a9fb8af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04aa62eda5d19e65d1fea8dfeb16c403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fff14fbc9d46c23b76866fbbf57e3385.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/574308e4359db72637525cb24b497309.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1aad8893a5f92dab76e43d39cf6ef1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)在这
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efba7147f5b9ced8bc4a72f0a9fb8af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc011a0862d1f780331f1e9f8a467a9.png)
(3)在月平均用电量为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c275c0b17aa9f7a10c97ef3340b3415e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/564b1a6019aa0ea164ee016a301fd890.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0b71b8d2c183154221f717ce09077b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ebf36dca75645158bf7343919c55cce.png)
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1071次组卷
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14卷引用:吉林省长春市长春外国语学校2022-2023学年高一下学期6月月考数学试题
吉林省长春市长春外国语学校2022-2023学年高一下学期6月月考数学试题9.2.1总体取值规律的估计练习(已下线)9.2.1总体取值规律的估计(第2课时)上海市奉贤中学2023-2024学年高二下学期3月月考数学试卷(已下线)专题9.5 统计全章八大压轴题型归纳(拔尖篇)--举一反三系列(人教A版2019必修第二册)(已下线)专题9.3 统计图的相关运算大题专项训练-举一反三系列(人教A版2019必修第二册)(已下线)9.2.1?总体取值规律的估计——课后作业(提升版)(已下线)专题02 用样本估计总体-《知识解读·题型专练》(人教A版2019必修第二册)(已下线)第九章 本章综合--方法提升应用【第三练】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)专题14.1统计(1))--重难点突破及混淆易错规避(苏教版2019必修第二册)(已下线)第九章:统计(单元测试)-同步精品课堂(人教A版2019必修第二册)(已下线)第九章:统计(单元测试,新题型)--同步精品课堂(人教A版2019必修第二册)(已下线)专题05 第九章 统计-期末考点大串讲(人教A版2019必修第二册)(已下线)核心考点9 统计 B提升卷 (高一期末考试必考的10大核心考点)
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5 . 我们一般使用分贝(符号是
)来表示声音强度(瓦/平方米,符号是
)的等级,强度为
的声音对应的等级为
,科学研究表明,它们满足关系:
,其中
为修正系数(常数),
为普通人能听到的声音的最小强度(常数),清晨时风吹落叶的沙沙声其强度为
,上学高峰时汽车川流不息声音强度达到
,经某科技爱好者用分贝测试仪测得声音等级分别为
和
.
(1)求
与
的值,并求当测得同学们早读声音等级为
时,早读的声音强度;
(2)某天上午体育课进行了测试,同学们非常疲倦,午间教室非常安静,比平常降低了
,求平常中午的声音强度是这天中午声音强度的多少倍?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca586d4c35ce52dec4b545cf13ee0721.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db72d10094c3d5cf2cb4eaa4809a1f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb217dcf5415d0881240b1637918363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c23fdfc8592db67def8fd867f6b6de62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f35907c8d5fff87642b7805a0b8e83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a699a806c147ea608122a0cbaeb8655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65364b0388a18906e906abb5a85fa38d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151468cf33c322f34963314d0a2c489a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d59922fee37241fde49e4ac70677b24a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7890b1971fa3f44a946f2c89a4f5fea.png)
(2)某天上午体育课进行了测试,同学们非常疲倦,午间教室非常安静,比平常降低了
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b1a1b1e9a0fda0a9071952d47b2baed.png)
您最近一年使用:0次
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6 . 已知函数
在区间
上的最小值为3.
(1)求
的值及函数
的单调递减区间;
(2)求使
成立的
的取值集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d9cf3aba0830fdad3565faa904cf54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d51992c05a557cf6058664f1f8961e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abdaffa9c15517afe6d7ba6488f88f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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解题方法
7 . 已知函数
,
且
.
(1)若
,求不等式
的解集;
(2)若
,令
,若对一切实数
,不等式
恒成立,求实数
的取值范围;
(3)若
,试确定
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f289862f955d78d7b7a9f690d46b6544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/156ae979b26b86d8bf54212b47336432.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b046fa14312a1dfa0a8a9da1de08525a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e158f84423db928d56afe4d94c83eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90418d124a68d162a5ead1900cba6fdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
8 . (1)已知二次函数
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c292ad5ab432ba87d945d952ae84d2b8.png)
,且
,求
的解析式;
(2)已知
是
上的奇函数,当
,求
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c292ad5ab432ba87d945d952ae84d2b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac200a9106723cd0d4749339ea677e5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51eb2613dda00677d447c986cac505bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed3f754a17f348f21dfc07fe729bcf60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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解题方法
9 . 已知函数
.
的图象;
(2)当
时,求实数
的取值范围,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba78ecfd1ca4aa907e425782e8b745b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa31bac01d53e8a8847a48f246dd003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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156次组卷
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2卷引用:河南省濮阳市清丰县城镇育才学校2023-2024学年高一上学期12月月考数学试题
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解题方法
10 . 若实数
满足
,则称
比
远离
.
(1)若2比
远离1,求x的取值范围;
(2)设
,其中
,判断:
与
哪一个更远离
?并说明理由.
(3)若
,试问:
与
哪一个更远离
?并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d32d4403d0e81eacfbe429dc51f07f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b782dd2de9c9caa840838cd63d817de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)若2比
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/792be5953f7752ccf49405231fa1ebc0.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ea5e8fdf104e1cc8348c13a3cd1610.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8151ce405ce7dd9f691fd62cd59be57c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45900deae0489e87fe448948e8091c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ebc856291255f2d4a6c20b982a2442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
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