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判断题 两个可导且相差一个常数的函数是同一函数的原函数
学科：高等数学
时间：2024-05-26 10:46:30
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题目1单选题
经过点<img src="https://tihai-oss-cloud.itihey.com/img/04b7a99448e5291fe96ac3bf6c035344.webp">,且其切线的斜率为<img src="https://tihai-oss-cloud.itihey.com/img/c4925af82bf196e551891c22f4b82e17.webp">的曲线方程为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/56f07bd6a4338927d314056f612d0e8e.webp">B. <img src="https://tihai-oss-cloud.itihey.com/img/310d3e007ef9ccafaa1f5f509928119f.webp">C. <img src="https://tihai-oss-cloud.itihey.com/img/36f87a69d081d9c90b2d9791472c3be3.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/d146fead1ac0e8d3ce21799df18ae326.webp">
题目2单选题
F(x)和G(x)是函数f(x)的任意两个原函数,<img src="https://tihai-oss-cloud.itihey.com/img/0eb6be4f1ccb826a4b78e01b5a60a223.webp">,则下式成立的有( )A. <img src="https://tihai-oss-cloud.itihey.com/img/e36eb5bff7edd4b1fc1fd657c4672e89.webp">B. <img src="https://tihai-oss-cloud.itihey.com/img/3a04da1dccc4f5e7375353384b553bc4.webp">C. <img src="https://tihai-oss-cloud.itihey.com/img/4eeaa4d1324b06c4322f7ebb77880b79.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/a0f19556259927a78b23711fbb4bee4b.webp">
题目3单选题
若f(x)为可导、可积函数,则( )A. <img src="https://tihai-oss-cloud.itihey.com/img/1f3254852f5ea520b33fdb5f8988a0e4.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/f3ea58b64307bb8a2765841993e9fe3b.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/5d9494c98cb8f264791b99c26ee86090.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/a5fb2b5c64ce32f9eadb698235b01750.png">
题目4单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/8afc91e882acbc8f4a61c283693fd971.webp">,则<img src="https://tihai-oss-cloud.itihey.com/img/5a63be0c859b5c8d8441cde9fec8cf8f.webp">A. <img src="https://tihai-oss-cloud.itihey.com/img/87fa1b4cc7c4c768f6f2b1e9b876ece9.webp">B. <img src="https://tihai-oss-cloud.itihey.com/img/5f0faa77a60b2eb708034b774f1bba83.webp">C. <img src="https://tihai-oss-cloud.itihey.com/img/fbeccf0ec0d2c3efda64a08f497334c2.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/72b3a26a28e769fefecbc64e95d871ac.webp">
题目5单选题
C为任意常数,且<img src="https://tihai-oss-cloud.itihey.com/img/49306de2deac6daabdd6d63d16735a7a.webp">,下式成立的有( )A. <img src="https://tihai-oss-cloud.itihey.com/img/74524edfdcbc7eecd51fa5b220325f4b.webp">B. <img src="https://tihai-oss-cloud.itihey.com/img/db8869bcc9086992348237ea73c6f6cf.webp">C. <img src="https://tihai-oss-cloud.itihey.com/img/00592e43211c2dacf0f12766773c4ba7.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/84faa09c92865c3208531dce9a9e1e83.webp">
题目6判断题
一切初等函数在其定义域上都有原函数A. 正确B. 错误
题目7判断题
函数<img src="https://tihai-oss-cloud.itihey.com/img/804aa083dcb0fd51b745f95291aa2715.webp">的不定积分是其全体原函数A. 正确B. 错误
题目8判断题
函数的各条积分曲线上横坐标相同的点处的切线不一定平行A. 正确B. 错误
题目9判断题
两个可导且相差一个常数的函数是同一函数的原函数A. 正确B. 错误
题目10判断题
因为<img src="https://tihai-oss-cloud.itihey.com/img/4a6a7df980f7dbd76edcc279b4f2a1ef.webp">,所以<img src="https://tihai-oss-cloud.itihey.com/img/38edc14d45c400686b81458a98d6491a.webp">是<img src="https://tihai-oss-cloud.itihey.com/img/57538b83baba8e22040813217970e95f.webp">的一个原函数A. 正确B. 错误
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