解题方法
1 . 已知函数
.
(i)若
,则函数
的最小正周期为__________ .
(ii)若函数
在区间
上的最小值为
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20fecc884552a307159d4ed7bb3666c2.png)
(i)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(ii)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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2 . 某城市一年中12个月的平均气温与月份的关系可近似地用三角函数
来表示.已知6月份的平均气温最高为
,12月份的月平均气温最低为
,此函数的最小正周期为______ ,10月份的平均气温为______ °.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ead47dc0cd498b275bebcd50599e660.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aee6e4e9350a2665df8597ff8045bbd.png)
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3 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7bb18ebe7efb26e06de5e293120c53d.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7bb18ebe7efb26e06de5e293120c53d.png)
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4 . 已知
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb18dbecff6e51575dbee5bc69a0d4fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6d68581a66f9ffbf8c082206eb4458.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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2024-04-29更新
|
166次组卷
|
2卷引用:北京市海淀区北京理工大学附属中学2023-2024学年高一下学期4月期中考试数学试题
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5 . 《九章算术》是我国古代数学成就的杰出代表作,其中《方田》章计算弧田面积所用的经验公式为:弧田面积
.弧田如图,由圆弧和所对的弦所围成,公式中“弦”指圆弧所对的弦长,“矢”等于半径长与圆心到弦的距离之差.现有圆心角为
,弦长为
米的弧田.按照上述方法计算弧田的矢为______ 米;面积为______ 平方米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a029386cadcebfe987b91e37f2c2abd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0211da37e92f915e781691296578ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
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6 . 时间经过
(时),时针转了______ 度,等于______ 弧度;若时针长度是1厘米,则时针
(时)转出的扇形面积是______ 平方厘米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c63f6b1652d3e830ed2dbc65253d043.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15694733427d51a02995963186c5c427.png)
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解题方法
7 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/263630f944e373c096c8c66450519ec8.png)
_________ ;函数
的图象的一个对称中心的坐标为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8261e61e630a587e12152999daf8d7b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/263630f944e373c096c8c66450519ec8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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2024-04-09更新
|
965次组卷
|
2卷引用:北京市海淀区2024届高三下学期期中练习(一模)数学试题
名校
8 . 已知函数
,如图A,B是直线
与曲线
的两个交点,
且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81d6979a4c2a4925efa330a9c2d7c1d4.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70a8855aff1b33b5849d88513101d8d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b7e8cea282005e0ffdd9f8ec244310a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d789795304f686251bd6a199cd8c70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e19e9a6c0f5a741ccd385c3376066daf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81d6979a4c2a4925efa330a9c2d7c1d4.png)
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2024-04-01更新
|
233次组卷
|
2卷引用:北京市海淀区中央民族大学附属中学2023-2024学年高一下学期期中练习数学试卷
解题方法
9 . 函数的部分图象如图所示,
(
,
,
),则函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a8ef32ee9f9ffb0c88d9c790477138.png)
_ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f212d1d1b6d68466b7bd59195e2a368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e4bd2c4e053828486eea8e6b64c27f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01293c75043b2c0ff2df020a2f5fec50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2b6f28c2d3270d3eb869631630c5d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a8ef32ee9f9ffb0c88d9c790477138.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/29/f717b650-d836-40b0-8fc7-9cb8b6578ce7.png?resizew=167)
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10 . 设
为锐角,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188bb67adfa9e8333277b65930b1a712.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eb8b1eee3443167c4e11a9749aa3cbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188bb67adfa9e8333277b65930b1a712.png)
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