解题方法
1 . 一个装有水的圆柱形水杯水平放在桌面上,在杯内放入一个圆柱形铁块后,水面刚好和铁块的上底面齐平,如图所示.已知该水杯的底面圆半径为6 cm,铁块底面圆半径为3 cm,放入铁块后的水面高度为6 cm,若从
时刻开始,将铁块以1 cm/s的速度竖直向上匀速提起,在铁块没有完全离开水面的过程中,水面将______ (填“匀速”或“非匀速”)下降;在
时刻,水面下降的速度为______ cm/s.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cfa69228941dbf862c4a675a91413eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1fd476a0837292db7038d10548e5955.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/17/7b422f9c-e72d-4921-8875-1d80e01e72e2.png?resizew=101)
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2023-04-16更新
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6卷引用:河南省南阳地区2022-2023学年高二下学期期中热身摸底检测数学试题
解题方法
2 . 某质点沿直线运动,位移
(单位:
)与时间
(单位:
)之间的关系为
,则
这段时间内的平均速度为___
;
时的瞬时速度为___
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5022abc6afd4deff13845419fa38312e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c1468cf3bc2bbc5bee776b882f42eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2849335650a485d987040d40b45d3047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f042d5bb6e436cfe48383217b73d3bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87583b0111cfd6251ff8223f6e70979b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d12fb6b0a916057979aa1ebff4663e38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87583b0111cfd6251ff8223f6e70979b.png)
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名校
3 . 如图,酒杯的形状为倒立的圆锥.杯深
,上口宽
,水以
的流量倒入杯中,则当水深为
时,时刻![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
________
,水升高的瞬时变化率![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4ef973817d347fc468c0a1f776d798.png)
_________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af62da2f87dfc02c63e7a1c0949f09d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba48323cd79d207715e82d1e5a7d5e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a270281ea2f121b3657317a77c09f939.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/244ea6a312d4b6831a6b833ea3f4fcd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4ef973817d347fc468c0a1f776d798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dba1d72ab2c7823a90238b16e032a0.png)
![](https://img.xkw.com/dksih/QBM/2020/4/29/2451839256870912/2452158340653056/STEM/725485b09f224eff998d07c917b39e6d.png?resizew=78)
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2020-04-29更新
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897次组卷
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3卷引用:江苏省苏州中学2019-2020学年高二下学期阶段调研数学试题
4 . 如图,函数
的图象是折线段
,其中
的坐标分别为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81079c8940e574b702a917de3cc45eb2.png)
________ ;
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/17/277d5d20-3448-4e4f-8be2-330a1639a994.png?resizew=184)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/867bbc4ea1a35c46f8d2db41c60e4a68.png)
_________ .(用数字作答)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787ac5e13622afab5e9f8603afe42356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c0ae8e92dd3119d41f2c830ea526516.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097b691dc1e962354831cfd4e2e4d34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81079c8940e574b702a917de3cc45eb2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/17/277d5d20-3448-4e4f-8be2-330a1639a994.png?resizew=184)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/867bbc4ea1a35c46f8d2db41c60e4a68.png)
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2016-11-30更新
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1451次组卷
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7卷引用:高中数学人教A版选修2-2 第一章 导数及其应用 1.1.2 导数的概念(2)