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单选题 已知某函数一阶和二阶导数在各区间上的取值符号如下表,则在区间
上函数图象的单调和凹凸情况是( )
1 
+ 0 - - - 
- - - 0 +
学科：默认课程
时间：2025-12-19 18:00:16
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题目1单选题
关于曲线<img src="https://tihai-oss-cloud.itihey.com/img/ec45b8717b80a1e6a6d6aebf4bb89ac9.png">,下列说法正确的是( )A. 在<img src="https://tihai-oss-cloud.itihey.com/img/e1ceb3801c1aa671a8d343ea348216f2.png"> 上是凸的B. 在<img src="https://tihai-oss-cloud.itihey.com/img/e1ceb3801c1aa671a8d343ea348216f2.png"> 上凹的C. 在<img src="https://tihai-oss-cloud.itihey.com/img/e1ceb3801c1aa671a8d343ea348216f2.png"> 上有拐点D. 在<img src="https://tihai-oss-cloud.itihey.com/img/e1ceb3801c1aa671a8d343ea348216f2.png">没有凹凸性
题目2单选题
曲线y =<img src="https://tihai-oss-cloud.itihey.com/img/1115b9dd74d95965dc81efce81e84470.png">的凸区间是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/bced2fdc87bef424c79f1cae36518d67.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/1d01e10f47b2e3fa865be5d30f766afc.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/b8b6c63364df69b48d687e24293c588d.png">D. 无
题目3单选题
曲线y =<img src="https://tihai-oss-cloud.itihey.com/img/1115b9dd74d95965dc81efce81e84470.png">的凹区间是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/1d01e10f47b2e3fa865be5d30f766afc.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/b8b6c63364df69b48d687e24293c588d.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/bced2fdc87bef424c79f1cae36518d67.png">D. 无
题目4单选题
曲线y =<img src="https://tihai-oss-cloud.itihey.com/img/1115b9dd74d95965dc81efce81e84470.png">的拐点是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/66db38425e8dd8f1ee2617eac3c924eb.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/5f7900f3d2647e40437b985fd60fb329.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/e8c6cb2a7215b83609698ce5893c8072.png">D. 无
题目5单选题
已知某函数一阶和二阶导数在各区间上的取值符号如下表,则在区间<img src="https://tihai-oss-cloud.itihey.com/img/b0be95d0b2b90c406780029709a2fc1b.png">上函数图象的单调和凹凸情况是( )<img src="https://tihai-oss-cloud.itihey.com/img/57b386aac9b626fe156d4f68f241dd6f.png"><img src="https://tihai-oss-cloud.itihey.com/img/b0be95d0b2b90c406780029709a2fc1b.png"> 1 <img src="https://tihai-oss-cloud.itihey.com/img/4edeb6227465e4b9d4c256a13add9256.png"><img src="https://tihai-oss-cloud.itihey.com/img/00eaac4b45e1b3b25191994e2a9c4639.png"><img src="https://tihai-oss-cloud.itihey.com/img/10909e9fb02e91d84208ada4c01165bb.png"><img src="https://tihai-oss-cloud.itihey.com/img/4c9cd066a4297c82c9561ddecc920657.png"> + 0 - - - <img src="https://tihai-oss-cloud.itihey.com/img/374141c420274ba02028424e63bca4de.png"> - - - 0 +A. 凸向递增B. 凸向递减C. 凹向递减D. 凹向递增
题目6单选题
已知某函数一阶和二阶导数在各区间上的取值符号如下表,则在区间<img src="https://tihai-oss-cloud.itihey.com/img/d02c1081faab7353bdbd698a25cfce97.png">上函数图象的单调和凹凸情况是( )<img src="https://tihai-oss-cloud.itihey.com/img/57b386aac9b626fe156d4f68f241dd6f.png"><img src="https://tihai-oss-cloud.itihey.com/img/9a042f31fa08cb588698be6bcc304ea3.png"><img src="https://tihai-oss-cloud.itihey.com/img/c8442ec5f2821238deceb0ee0aec9c60.png"><img src="https://tihai-oss-cloud.itihey.com/img/d02c1081faab7353bdbd698a25cfce97.png"><img src="https://tihai-oss-cloud.itihey.com/img/c388dd7de75ebadde08fa463e7b548b2.png"><img src="https://tihai-oss-cloud.itihey.com/img/3cd7a378f77482df1e19e0700ba7cbe8.png"> 0 y′ - - - 0 + 1 y″ - 0 + + + 0A. 凸向递增B. 凸向递减C. 凹向递减D. 凹向递增
题目7单选题
已知某函数一阶和二阶导数在各区间上的取值符号如下表,则在区间<img src="https://tihai-oss-cloud.itihey.com/img/786e9e9b1913a4602d64e2d8da74d475.png">上函数图象的单调和凹凸情况是( ) <img src="https://tihai-oss-cloud.itihey.com/img/57b386aac9b626fe156d4f68f241dd6f.png"> <img src="https://tihai-oss-cloud.itihey.com/img/c17f879a1a1d11589df62d10cf4fff93.png"> <img src="https://tihai-oss-cloud.itihey.com/img/c388dd7de75ebadde08fa463e7b548b2.png"> <img src="https://tihai-oss-cloud.itihey.com/img/3cd7a378f77482df1e19e0700ba7cbe8.png"> <img src="https://tihai-oss-cloud.itihey.com/img/67c309d7b1ab03046a428a0cb6c8faa2.png"> <img src="https://tihai-oss-cloud.itihey.com/img/b0be95d0b2b90c406780029709a2fc1b.png"> 1 <img src="https://tihai-oss-cloud.itihey.com/img/786e9e9b1913a4602d64e2d8da74d475.png"> y′ + 0 - -1 - 0 + y″ - - - 0 + + +A. 凸向递增B. 凸向递减C. 凹向递减D. 凹向递增
题目8单选题
已知某函数一阶和二阶导数在各区间上的取值符号如下表,则在区间<img src="https://tihai-oss-cloud.itihey.com/img/368ee7a635c254166da9d6aa7c658635.png">上函数图象的单调和凹凸情况是( ) <img src="https://tihai-oss-cloud.itihey.com/img/57b386aac9b626fe156d4f68f241dd6f.png"> <img src="https://tihai-oss-cloud.itihey.com/img/da5dc9d26d3924b5f6c15bd9f011ed88.png"> 1 <img src="https://tihai-oss-cloud.itihey.com/img/368ee7a635c254166da9d6aa7c658635.png"> 2 <img src="https://tihai-oss-cloud.itihey.com/img/67940a6f738b2cc79e82975da386b3cb.png"> y′ + 0 - - - y″ - - - 0 +A. 凸向递增B. 凸向递减C. 凹向递减D. 凹向递增
题目9单选题
如当 <img src="https://tihai-oss-cloud.itihey.com/img/7e784f063b48cda4192d386336986594.png">时,<img src="https://tihai-oss-cloud.itihey.com/img/c5fe05739777b1a7bc8aacc90846bde9.png"> ,<img src="https://tihai-oss-cloud.itihey.com/img/0e36dca2f7263d6a623276b4d8b80ab6.png">,则曲线<img src="https://tihai-oss-cloud.itihey.com/img/0ed283ea1bc9b8d243f2fd4e21ceff05.png">在区间<img src="https://tihai-oss-cloud.itihey.com/img/86425bdd7b8f345edbb9e3243ec1bc55.png"> 上( )A. 单调减且凸B. 单调减且凹C. 单调增且凸D. 单调增且凹
题目10单选题
当<img src="https://tihai-oss-cloud.itihey.com/img/cfc7ae5ff2b633a5017338fd66afc21a.png">时,如果<img src="https://tihai-oss-cloud.itihey.com/img/d4fc5fdb5e7286d4734e4cd7d2f7ca11.png">,则曲线<img src="https://tihai-oss-cloud.itihey.com/img/b9fd3764550f8482c2ab2eef5e7f45ec.png">在区间<img src="https://tihai-oss-cloud.itihey.com/img/3f4e00801a1b5603b74a9dfd28054f47.png">上( )A. 单调减且凸B. 单调减且凹C. 单调增且凸D. 单调增且凹
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