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单选题 利用微元法求解某变量
时,下列说法不正确的是( )
A. 变量在相应区域上具有可加性
B. 微元就是分割后的小区域上的增量
C. 
与微元之间相差高阶无穷小
学科：默认课程
时间：2025-12-14 10:49:34
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题目1单选题
由曲线<img src="https://tihai-oss-cloud.itihey.com/img/43727cb966ad1c03aae96cc3c417c84e.png">及直线<img src="https://tihai-oss-cloud.itihey.com/img/35d05b62745d159d6633b90ee9576fc5.png">、<img src="https://tihai-oss-cloud.itihey.com/img/9f290f4c8e065f70bc3c52519c672783.png">与<img src="https://tihai-oss-cloud.itihey.com/img/22001bea95c16425e7717936069955d9.png">轴所围成的曲边梯形面积A.利用微元法时,<img src="https://tihai-oss-cloud.itihey.com/img/101a7deadc4448484f5b2352adbdb7a6.png">为分割后小曲边梯形面积,则( )A. 微元就是<img src="https://tihai-oss-cloud.itihey.com/img/0cfde5ddf603b279d3e848af7fbf2a3e.png">B. 微元<img src="https://tihai-oss-cloud.itihey.com/img/6336754413cd07c50e03900571729d32.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/9babc716c4f851e2cc8442d2b78efaa4.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/f466898d82e3fef811abe5f60a4a4685.png">
题目2单选题
利用微元法求解某变量<img src="https://tihai-oss-cloud.itihey.com/img/5a70d97ecc0f06b694f231fd9abc2f02.png">时,下列说法不正确的是( )A. 变量<img src="https://tihai-oss-cloud.itihey.com/img/5a70d97ecc0f06b694f231fd9abc2f02.png">在相应区域上具有可加性B. 微元就是分割后的小区域上<img src="https://tihai-oss-cloud.itihey.com/img/5a70d97ecc0f06b694f231fd9abc2f02.png">的增量C. <img src="https://tihai-oss-cloud.itihey.com/img/0c472eebabd60cb6a7021893346be693.png">与微元之间相差高阶无穷小D. 其实就是微分近似等于增量的体现
题目3单选题
抛物线<img src="https://tihai-oss-cloud.itihey.com/img/c42d8254275187f8f33f9d8f2d2578fc.png">与<img src="https://tihai-oss-cloud.itihey.com/img/2ce0d1a8e6dcdb4c9a2a9fe2ce860877.png">所围成图形面积,计算正确的是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/43c6362862703cda49d4c0c75c95c55c.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/bdb0a8c266a7805ccef07e107f6b856f.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/d2d3e56cea3ab4e8d28b5165ecf81e48.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/50a555bf86a171aba88a88e3ab4d6116.png">
题目4单选题
关于弧长的公式不正确的选项是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/07f3bc1b59e314d4755a2d94969c05e9.png">则弧长<img src="https://tihai-oss-cloud.itihey.com/img/c6462d82f6590ce081ffe4ca8725a686.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/2daa69924d5fe929566c2861c68d9385.png">在<img src="https://tihai-oss-cloud.itihey.com/img/74ec1ef29af1a901495977ab06f68845.png">上具有一阶连续导数,弧长<img src="https://tihai-oss-cloud.itihey.com/img/cf53219365616a47c67c116aaf37070b.png">C. 在极坐标下<img src="https://tihai-oss-cloud.itihey.com/img/7ed4c545383c6a8c2f4b1fbda5cabc27.png">的弧长为<img src="https://tihai-oss-cloud.itihey.com/img/54af10f679a675506040f306d00e222f.png">D. 连续曲线的弧长一定可以计算
题目5单选题
曲线<img src="https://tihai-oss-cloud.itihey.com/img/c9a53d433261ca1316fbb6d187a8da19.png">所围成的图形的面积为<img src="https://tihai-oss-cloud.itihey.com/img/54f4567d5d1aa85ddf2c5f3ce75ecf98.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/54f4567d5d1aa85ddf2c5f3ce75ecf98.png">等于( )A. <img src="https://tihai-oss-cloud.itihey.com/img/c34148438697d9c0e3ae88206f8b4bf5.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/7a0f818d4620f3203b1d313468bf03b9.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/72e9d27bdbf5ab7d7d34711c51a9a459.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/ea432422fe09dacfcf884cd624feacc5.png">
题目6单选题
<img src="https://tihai-oss-cloud.itihey.com/img/a05827d5f4be0c991ed892e0a3daf0c5.png">一拱与<img src="https://tihai-oss-cloud.itihey.com/img/0bf8aba2c13f53b469186ee4274cb10b.png">轴所围成的图形,绕<img src="https://tihai-oss-cloud.itihey.com/img/0bf8aba2c13f53b469186ee4274cb10b.png">轴旋转,则其体积<img src="https://tihai-oss-cloud.itihey.com/img/f5e8df13f781defe3b23bc7cc05affdc.png">( )A. <img src="https://tihai-oss-cloud.itihey.com/img/6041cfa6a3a914736a755fe899764e8e.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/c5d0e63b855a8aa237563e971902aa40.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/45413545dabd0bf9dad7acc2b4a4fecb.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/4bd19371af18436c6cf85eb9fa65ec95.png">
题目7单选题
The Tide Table gives the prediction of the _______ of high and low water in standard ports. ( )A. time and heightB. dateC. heightD. time
题目8单选题
Which one of the following is incorrect about Mercator projection? ( )A. It projects a sphere onto a cylinderB. Because the resulting distance between latitudes is constantly increasing, it is also called progressive projectionC. It can always give true distancesD. Its advantage is that longitudes and latitudes are at right angles, which makes it easy to read true bearings
题目9单选题
If a vessel turns in shallow water, she will have _____ advance than turn at deep water. ( )A. largerB. smallerC. sameD. minimized
题目10单选题
Which of the following weather report is of 12-24 hours period? ( )A. WarningB. ForecastC. SynopsisD. Depression
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