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1 . 化简或计算下列各式:
(1)
;
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d8afbff83dd417a8c64f9fc9d869d8.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3861dc4bda224cc27483519a7fa70a.png)
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2 . 化简:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d4725b09f29e9fa51023daf0becc35.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d4725b09f29e9fa51023daf0becc35.png)
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3 . 如图,某池塘里浮萍的面积
(单位:
)与时间
(单位:月)的关系为
(
,且
).下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/5/6e377c22-6781-43c1-a927-a8914e1c7fb3.png?resizew=141)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c901bcdfa58f0c68ad0161b0bab269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce9ca351e705882fed69c1f1b41e8876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/5/6e377c22-6781-43c1-a927-a8914e1c7fb3.png?resizew=141)
A.浮萍每月的增长率为2 |
B.第6个月时,浮萍面积为![]() |
C.浮萍每月增加的面积都相等 |
D.若浮萍蔓延到![]() ![]() ![]() |
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4 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dabf9ab0ac0da5d5e483c29c904a901d.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dabf9ab0ac0da5d5e483c29c904a901d.png)
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2024-02-03更新
|
296次组卷
|
3卷引用:重庆市2023-2024学年高一上学期期末联合检测数学试卷
5 . 计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfe6fe5373264703ffe1f7f416d45080.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfe6fe5373264703ffe1f7f416d45080.png)
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6 . 已知
,若
,则实数
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9490cfac82b9fe4f25306291f5d585bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca55f6d583a4a469a229a24183aec579.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
7 . 长时间的实践表明,冲泡绿茶用
开水最为合适,饮用时茶水温度在
至
之间口感最佳.已知环境温度为
,物体温度为
吋,经过
分钟后物体温度
满足
,其中
为常数.某实验小组通过数据收集,计算得常数
,假设近期室内温度均为
.
(1)以
开水冲泡绿茶,经过8分钟后茶水温度约为多少?
(2)早上张老师到办公室上班,先用
开水泡好一杯绿茶,然后去教室看早自习,再回到办公室准备喝茶,请帮张老师计算一下他泡的茶水能保持最佳口感的时长.
(注意:本题结果都保留两位小数,参考数据
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13708f01d71b3172e2508af0d620572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7158d8fec00479a56aa0333f550a92d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627d1038ec568d0540e3258528b2533f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/635ccd929471d564cc9d2d96266b34d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4a380f8b1ccd6f70a1e1ecf8c98d61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36cb3767bf1cc7b8ffd5ab9099a19269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ccac4181d8a1fe89f03c89ca7c42fe.png)
(1)以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13708f01d71b3172e2508af0d620572.png)
(2)早上张老师到办公室上班,先用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13708f01d71b3172e2508af0d620572.png)
(注意:本题结果都保留两位小数,参考数据
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a458f4716b7fb99418d762909eecab11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d59004c5916a745f186e0bd66aa3bca2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc6d333e0ad053f9ef9fe12dc6e0d4cf.png)
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8 . 已知实数
,且
,则以下说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d4196ae58cfbd383ce47b0cece61641.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcf97ca22e133a43f92fa2aa7537fedf.png)
A.![]() | B.![]() | C.![]() | D.![]() ![]() |
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9 . 化简求值.
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37628a47f722a4bc2a991e76b4723dbc.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b77639f1cb8ed164f294820f0bef8a7.png)
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解题方法
10 . 化简求值:
(1)
;
(2)已知
,求
的值.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71cc0ccb6e0820a1032128a915601c7.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37cc9aec7fd4a5edfb3b1666981ec9c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/110ec92fdc6ff74d58e80053f15fec07.png)
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