1 . 计算:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e97c8e6d650fb288811f0284bdc3ef0.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e97c8e6d650fb288811f0284bdc3ef0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ba3eddc248244f75244e7d5805d7a78.png)
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解题方法
2 . 下列函数为奇函数的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 化简求值
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cc544ce2f1ea5b1e9a21d8921353c4f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ea6f4f8e33f964a6644b716cee4b70.png)
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4 . 2021年10月16日0时23分,搭载神舟十三号载人飞船的长征二号F遥十三运载火箭,在酒泉卫星发射中心按照预定时间精准点火发射,顺利将翟志刚、王亚平,叶光富3名航天员送入太空,飞行乘组状态良好,发射取得圆满成功,火箭在发射时会产生巨大的噪音,已知声音的声强级
(单位:
)与声强x(单位:
)满足
.若人交谈时的声强级约为
,且火箭发射时的声强与人交谈时的声强的比值约为
,则火箭发射时的声强级约为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/695a323a71edcf6995df52aae709bbd6.png)
![](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/e5dbfb483081c63c4beeeb18f41ea06c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce7cd1a97eb075b49da30cfa74b97a9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b78e4b246a9bcb3a6ee9155fc2b0abb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-03-17更新
|
2068次组卷
|
9卷引用:江西省景德镇市2021-2022学年高二下学期期末质量检测数学(文)试题
江西省景德镇市2021-2022学年高二下学期期末质量检测数学(文)试题湖南省衡阳市2022届高三下学期一模数学试题陕西省西安市阎高蓝周临鄠六区2022届高三下学期三模文科数学试题广东省佛山市南海艺术高级中学2022届高三下学期第三次大测数学试题(已下线)2022年新高考北京数学高考真题变式题19-21题(已下线)数学-2022年高考押题预测卷01(新高考卷)(已下线)2022年新高考北京数学高考真题变式题5-8题(已下线)专题9 函数与导数 第2讲 基本初等函数、函数与方程黑龙江省佳木斯市第八中学2023届高三第四次教学质量检测数学试题
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5 . 函数
满足
,且
,则
的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbb9a0789f9a953ad2e9da6d13c9a6d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f75b0a09cc75ade0cbc485555f2f3a03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b068ac9ed1f0b8170468309ef187ad6d.png)
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6 .
,若
,则
的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/124a42c09ca92cf2a928b7d9c43a3f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93ad1fccce22d41cb20dd9c2d6b32409.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc0dfc68b43205d1d42c8702f5094a7.png)
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解题方法
7 . 对于函数
,
,
,如果存在实数
,
使得
,那么称
为
,
的生成函数.
(1)设
,
,
,
,生成函数
.若不等式
在
上有解,求实数
的取值范围.
(2)设函数
,
,是否能够生成一个函数
,且同时满足:①
是偶函数;②
在区间
上的最小值为
,若能够生成,则求函数
的解析式,否则说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bffc9c4bf9de4d804885955aff039ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/548636534994cd465dfc7bf7dd41505b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.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/e4ff66adb0ac6a3d92725b51455cb351.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bffc9c4bf9de4d804885955aff039ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/548636534994cd465dfc7bf7dd41505b.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17817d1df4b3aa57b21c74ce07843510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c708e11759cf69a51b0a921416645505.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f0c4e89ab45f83beb6eab21656a7d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f948d84d4da936ceb9f26ca645d3eb84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2500da64d4e9f7568fd0a619499a97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c986fda5bced2641fedcb35d38444339.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9d4135a1dde6dcb5448c51b144ffda2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cda591d3909af06eabf6b37c65bfe571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba84cf95f13768be0f66d77f8374152f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
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2022-02-15更新
|
470次组卷
|
2卷引用:江西省景德镇市第一中学2021-2022学年高一上学期期末数学试题
8 . 若a,b均为不等于1的正实数,则“a>b>1”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fc46864827b78bfdfe13bb4afa00ffb.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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解题方法
9 . 已知实数
,正实数
满足
,且
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7edac77829e7aec29f8980f577959098.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d701d16d9f318ee8fa779f5b961d64c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d722d556613c7786e9f7921582d00789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be788e7e594c2a6f28f51b530da558c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51442bf0ef97e173588b54ee77db26b5.png)
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10 . 已知实数
、
,正数
、
满足
,且
,则
的最小值为_________ .
![](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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d722d556613c7786e9f7921582d00789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be788e7e594c2a6f28f51b530da558c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3da8f104f6d0195fbd3802479b313d27.png)
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