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1 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2a2a540400311fff2fb2c8ed098e82d.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7a45190981deec3afa7fa82e93f8004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2a2a540400311fff2fb2c8ed098e82d.png)
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2 . 已知
是定义在
上的可导函数,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c519456f652f00e8ed4bacabc7d57893.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da3a6d011679952771607b3a166676b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137ad18330b4907ba189474a28e2d5e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c519456f652f00e8ed4bacabc7d57893.png)
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3 . 某酒杯上半部分的形状为倒立的圆锥,杯深
,上口宽
,若以
的匀速往杯中注水,当时间为
时,酒杯中水升高的瞬时变化率是______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b1fe1b971b780e443a9b13621611c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd6f4250ca6b1b9bce234a01f00d44d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b5b538e847547bbb9e29ecc89800193.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b7a662db44251ff09d2bc4cd5574bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d1461f3b7f2a8a65097c8de1dcbfc7.png)
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4 . 极限![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ddeb04bdc369227ce73853fb00a0f7.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ddeb04bdc369227ce73853fb00a0f7.png)
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7日内更新
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87次组卷
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2卷引用:上海市上海中学东校2023-2024学年高二下学期5月月考数学试卷
名校
5 . 设函数
在
处存在导数为3,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efdc529cc436a7b7d8f6d8f2e79a2ec2.png)
__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23fb90e09994fdc6ab02ed6ba664f31f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efdc529cc436a7b7d8f6d8f2e79a2ec2.png)
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6 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/009faf90dc1ad59216da4451c47c162a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8171f910574d5137b6cb90ebe99bea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/009faf90dc1ad59216da4451c47c162a.png)
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解题方法
7 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d146b02847bb127c2fadb253e587d7d.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce427e97019745d570dd2728027fba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d146b02847bb127c2fadb253e587d7d.png)
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8 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9882452a8c27e321446312ec17eb1348.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec8af1d876f47e1ac3e3b5ce097cf754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9882452a8c27e321446312ec17eb1348.png)
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解题方法
9 . 已知
为可导函数,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/834519df8efeec35d835c31eaa581305.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daaf9e1f1542a41694ffe35c4653d490.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/834519df8efeec35d835c31eaa581305.png)
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10 . 已知某物体的位移
(单位:米)与时间
(单位:秒)之间的关系可用函数
表示,则该物体在
秒时的瞬时速度为__________ 米/秒.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99e2edc51c7a0f2a1f269d318ad04322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
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2024-04-22更新
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218次组卷
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4卷引用:山东省大联考2023-2024学年高二下学期3月质量检测联合调考数学试题
山东省大联考2023-2024学年高二下学期3月质量检测联合调考数学试题陕西省西安市部分学校2024年高二下学期3月月考数学试题陕西省西安市长安区第三中学2023-2024学年高二下学期3月月考数学试卷(已下线)模块五 专题1 全真基础模拟(北师大版本高二期中)