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单选题 函数
在点
可导是在点可微的( ).
学科：高等数学(建院)
时间：2026-01-13 00:09:55
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题目1单选题
函数<img src="https://tihai-oss-cloud.itihey.com/img/024c54e919854351fe4e780766fea9f5.png"><img src="https://tihai-oss-cloud.itihey.com/img/c222b79f0da9e840732c0a6c24177fff.png">则<img src="https://tihai-oss-cloud.itihey.com/img/173c43b6a7008941ccb72c351e3ba65e.png">结果为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/9d6e2ca69922c84cd1c951a67d028e4b.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/8507cc83a927dc4977a784950457c1a4.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/8a9ac74410b05d7cdaadcadd728a8223.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/69fb5529c44af0918e874e44d68f8927.png">
题目2单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/4dc4dde8d8847437b9da1c23ab3e1e96.png">,<img src="https://tihai-oss-cloud.itihey.com/img/a1a01c709d3287572f111f9495800b40.png">为可导函数,则<img src="https://tihai-oss-cloud.itihey.com/img/3991db3ca2be2dc1b343aaef02833e4a.png">( )A. <img src="https://tihai-oss-cloud.itihey.com/img/6bc65faf5d9220f92a31b97505b9c0ed.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/e1df16aef3b721cb8a7efb3cec3fb92f.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/81005ac0fa6281ed887d2cf6009e46b8.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/244bef79afee94aea9426dcb2f419d46.png">
题目3单选题
函数<img src="https://tihai-oss-cloud.itihey.com/img/b6b799dfde736ceffb62dcc4c86cc774.png">在点<img src="https://tihai-oss-cloud.itihey.com/img/20f77fdc237d4ab23ff5a7121e162453.png">可导是<img src="https://tihai-oss-cloud.itihey.com/img/b6b799dfde736ceffb62dcc4c86cc774.png">在点<img src="https://tihai-oss-cloud.itihey.com/img/20f77fdc237d4ab23ff5a7121e162453.png">可微的( ).A. 充分条件B. 充要条件C. 必要条件D. 上述选项都不正确
题目4单选题
以下关于微分的描述不正确的是( )A. 自变量的微分等于自变量的增量 <img src="https://tihai-oss-cloud.itihey.com/img/6a067c3356b093a23e7d71b66acc41b3.webp">B. <img src="https://tihai-oss-cloud.itihey.com/img/fc6dfea7d4e4ca1a70e3b2fbd594afeb.png">为<img src="https://tihai-oss-cloud.itihey.com/img/870b64c33c23c7729e120858fa3b7a70.png">的线性主部C. 微分的几何意义是曲线在某点的切线上点的纵坐标对应于<img src="https://tihai-oss-cloud.itihey.com/img/6d54b7bc604dbcacb6f5cbfbafa7b2ac.png">的相应改变量D. 微分是一点处函数该变量的主要部分,只与<img src="https://tihai-oss-cloud.itihey.com/img/6d54b7bc604dbcacb6f5cbfbafa7b2ac.png">有关
题目5单选题
下列公式错误是A. <img src="https://tihai-oss-cloud.itihey.com/img/0409d23cfe7b8bc129044e6829866160.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/fb08b4a2f8c6e84a8a4c8550848fc0d7.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/b391f6742beebac51454d52a9e0cee61.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/b2bf845c8e6ae4438b53796338c25dce.png">
题目6单选题
由微分的近似计算,可知<img src="https://tihai-oss-cloud.itihey.com/img/567a0dfa02651aa249873434eb13d85f.png">( )A. 1B. 0.0025C. 1.005D. 0.005
题目7单选题
<img src="https://tihai-oss-cloud.itihey.com/img/953ddfeeeb22d18a19545683a53cab51.png">A. <img src="https://tihai-oss-cloud.itihey.com/img/55ddb1491fec1eb10359a658a7e9ce32.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/065e7fd526acf905d515346241543d44.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/7e920116dd22a21146e698e22b11e68e.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/4a03571095be3b7d5f0c9b8b92bb4fae.png">
题目8单选题
<img src="https://tihai-oss-cloud.itihey.com/img/81299ddfd88f25e87c170fe4a6a77e96.png">A. <img src="https://tihai-oss-cloud.itihey.com/img/d83c97065e2c0394ea936423e05c4b02.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/0f4731bca099224ff63f9db08b19516f.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/30382b3430debffc8c501add121328b7.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/8f0ce62e1835f49ed3d70e25d35f217c.png">
题目9判断题
当<img src="https://tihai-oss-cloud.itihey.com/img/5ecb3cbee3f5f94fc112a9fae35f5c36.webp">很小时,<img src="https://tihai-oss-cloud.itihey.com/img/531f8a2791bffc62a2e833396c0e81a6.png">A. 正确B. 错误
题目10判断题
<img src="https://tihai-oss-cloud.itihey.com/img/02dfca7402efadaaf2e24a3edc6971a9.png">A. 正确B. 错误
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