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单选题 球的半径以5cm/s的速度均匀增长,问球的半径为50cm时,球的体积的增长速度是【 】
A. 
B. 
C. 
D. 
学科：默认课程
时间：2025-12-23 18:08:22
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题目1单选题
已知参数方程<img src="https://tihai-oss-cloud.itihey.com/img/e5591e9fa79daeb76dc50cdd523ed9d1.png">(<img src="https://tihai-oss-cloud.itihey.com/img/aa554e8121a490be3c500b4036a3daa8.png">为参数),则二阶导数<img src="https://tihai-oss-cloud.itihey.com/img/62aaf6fc3cc09ed7700dbb5dbcbc9e17.png">【 】A. <img src="https://tihai-oss-cloud.itihey.com/img/c572ef96d19261e3b6056fadf357d030.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/b0f8397f650662d3b85d77647fe5ae53.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/033c039d1072b73d2dd617442fc26177.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/1ca7d26fb1677b83784663edf7625643.png">
题目2单选题
若<img src="https://tihai-oss-cloud.itihey.com/img/c3a2cbc2180a848119868530fdb99f7e.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/73a67ded0c63044765f06cc218b6f6f3.png">【 】A. <img src="https://tihai-oss-cloud.itihey.com/img/9f092315eab8684a36193da7a8236c29.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/f4217d5dcbb5dfb67f720db0a01901f6.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/e242574b04e1b77102ff43e79d8ba497.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/1df7a6110a4836df8b2c399cd2570900.png">
题目3单选题
球的半径以5cm/s的速度均匀增长,问球的半径为50cm时,球的体积的增长速度是【 】A. <img src="https://tihai-oss-cloud.itihey.com/img/e970ae2f0ddcb3e002b021a8c2440ce1.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/bdbf36c7ff18e4e87b1a1b554efee98b.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/d9222b600d858f705d25e47b6b834ec3.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/91358b7ffec24be97e46eb9a311e5113.png">
题目4单选题
<img src="https://tihai-oss-cloud.itihey.com/img/202fd314a56f8d0832a8217d3c58ed55.png">【 】A. <img src="https://tihai-oss-cloud.itihey.com/img/b6b5b0eb6e945314bab62c87844f007a.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/18c6b56835f8ba9d34468ba92893881c.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/fcb2c7ab7279a3d74f4ddcf99e3247bd.png">D. 0
题目5单选题
<img src="https://tihai-oss-cloud.itihey.com/img/eca52166153138073e4c8ab2e660acb8.png">A. <img src="https://tihai-oss-cloud.itihey.com/img/3543d2c8540141f6e72249a15b05d04e.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/aecd5cb8060495338a06e7ee37d6651e.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/9b38da97ec35235321d52b0ea05e9f1c.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/0447c272105e3fef24994feac7000996.png">
题目6单选题
隐函数<img src="https://tihai-oss-cloud.itihey.com/img/373824b4cbb10fa6c93006d6c80b3a91.png">的导数<img src="https://tihai-oss-cloud.itihey.com/img/93a22ed10909da11e3e38bc698781d99.png">为【 】A. <img src="https://tihai-oss-cloud.itihey.com/img/26724af3fbed58f5274d118a9c2b45c8.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/a3e2ee678b07091e633d384c0b060e73.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/d08523165365bbeb8a198be71b0de446.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/217c96187768f5f0b6dcfd5b2d552bf0.png">
题目7单选题
<img src="https://tihai-oss-cloud.itihey.com/img/7c2ae02f33c8605e6c4250c29abae33f.png">A. <img src="https://tihai-oss-cloud.itihey.com/img/746c34844ccd84b6f8026bf6a03f2be0.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/dd367038fa4faeb69124c9b97e3b8b67.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/9b2f9490e7bc7ed349a34109026bc994.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/c5f7926a3fd6bf33dd05c7c70c6841a0.png">
题目8单选题
若函数<img src="https://tihai-oss-cloud.itihey.com/img/4a19846af3cae089c0a214072c4afae5.png">有<img src="https://tihai-oss-cloud.itihey.com/img/e786e6de0711a1a2b7ed76e3e8a8c844.png">,则当<img src="https://tihai-oss-cloud.itihey.com/img/681864f2811d9ec399ac2f2d723cd8fd.png">时,该函数在<img src="https://tihai-oss-cloud.itihey.com/img/2671487a82765e49f0b6cee6bc658af5.png">处的微分<img src="https://tihai-oss-cloud.itihey.com/img/51790ad04e8531252397c99ec4fb81cf.png">是【 】A. 比<img src="https://tihai-oss-cloud.itihey.com/img/d53fab9c7adef53a7a13593e78e7b0aa.png">高阶的无穷小B. 比<img src="https://tihai-oss-cloud.itihey.com/img/d53fab9c7adef53a7a13593e78e7b0aa.png">低阶的无穷小C. 与<img src="https://tihai-oss-cloud.itihey.com/img/d53fab9c7adef53a7a13593e78e7b0aa.png">等价的无穷小D. 与<img src="https://tihai-oss-cloud.itihey.com/img/d53fab9c7adef53a7a13593e78e7b0aa.png">同阶的无穷小
题目9单选题
当<img src="https://tihai-oss-cloud.itihey.com/img/a2c25e57b85e6ff2de7402c59526328b.png">很小时,下列近似公式错误的是【 】A. <img src="https://tihai-oss-cloud.itihey.com/img/b5cbfddb65e9d74e106a8dad740e2480.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/3b084c5cea3cbe3a512e326d50ff85d5.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/d4e7a3cb9e132999ab9fe2c9a818d33e.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/e0d7f9c0b2cc82e76e7beeeb4193196e.png">
题目10单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/05b5eb277f2b741d7d9a6d61e269e555.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/a44557ea78087d2852894ec07949a7a7.png">【 】A. <img src="https://tihai-oss-cloud.itihey.com/img/97cb4aa72eaf24062818b12840f20f79.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/048c5d8eadb85ebfe21944d987f8a07c.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/b53b0f7bee643a7ff9c110b304a3866c.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/3ff90309d6ababaef9e929beb8e0f68a.png">
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