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单选题下面关于函数的命题正确的是( )

A. 是的极小值点

B. 是曲线的拐点

C. 是的极大值点

D. 不是的极值点

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学科：默认课程

时间：2026-01-09 02:59:26

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设函数<img src="https://tihai-oss-cloud.itihey.com/img/7212ea62d1d8453fffc2f5e31b636a7b.png">过点<img src="https://tihai-oss-cloud.itihey.com/img/7e4ef62c83080d22c912dc70f170f542.png">,若<img src="https://tihai-oss-cloud.itihey.com/img/07df4c3d36684cc829938797b352744a.png">是它的驻点,<img src="https://tihai-oss-cloud.itihey.com/img/a10cb2a979441b6b111641559a4a7a10.png">是相应曲线的拐点,则( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/886d95d1e12a1cbb668fe504b40784ef.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/7745c6366632b63d43144feb37a7438b.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/d53e01ae0a01eb433e488b267edc0aa5.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/28fa1e44a242369507d624f2a1bc29c2.png">

函数<img src="https://tihai-oss-cloud.itihey.com/img/09c09d3d22e425213bfdef8b8331c85f.png">的图形在区间<img src="https://tihai-oss-cloud.itihey.com/img/cb57f0c895ed2b2d0728f890c31e7d96.png">内是( )

A. 单调增加的凸弧B. 单调增加的凹弧C. 单调增少的凹弧D. 单调增少的凸弧

下面关于函数<img src="https://tihai-oss-cloud.itihey.com/img/970b001a45a40029dc72e3203f9c4ba4.png">的命题正确的是( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/9d13285c4ead9d041f3dc193ebaba6df.png"> 是<img src="https://tihai-oss-cloud.itihey.com/img/f78280ee281f6c3be6aeaf9d3d5d6205.png">的极小值点B. <img src="https://tihai-oss-cloud.itihey.com/img/9d13285c4ead9d041f3dc193ebaba6df.png"> 是曲线<img src="https://tihai-oss-cloud.itihey.com/img/f78280ee281f6c3be6aeaf9d3d5d6205.png">的拐点C. <img src="https://tihai-oss-cloud.itihey.com/img/9d13285c4ead9d041f3dc193ebaba6df.png"> 是<img src="https://tihai-oss-cloud.itihey.com/img/f78280ee281f6c3be6aeaf9d3d5d6205.png">的极大值点D. <img src="https://tihai-oss-cloud.itihey.com/img/9d13285c4ead9d041f3dc193ebaba6df.png"> 不是<img src="https://tihai-oss-cloud.itihey.com/img/f78280ee281f6c3be6aeaf9d3d5d6205.png">的极值点

{设函数<img src="https://tihai-oss-cloud.itihey.com/img/f78280ee281f6c3be6aeaf9d3d5d6205.png">在<img src="https://tihai-oss-cloud.itihey.com/img/10adb5359d5bae8e30f2eddab56dd375.png">上可导,其导函数图形如图所示<img src="https://tihai-oss-cloud.itihey.com/img/375f28d7e3d9539f069134614d68c16d.jpg">,则( ).}

A. <img src="https://tihai-oss-cloud.itihey.com/img/97e9d573f76a5cb87f06a3507f421eb7.png">都是<img src="https://tihai-oss-cloud.itihey.com/img/f78280ee281f6c3be6aeaf9d3d5d6205.png">的极值点B. <img src="https://tihai-oss-cloud.itihey.com/img/b90c55b80162cf03619b6c59b761b6f0.png">是<img src="https://tihai-oss-cloud.itihey.com/img/f78280ee281f6c3be6aeaf9d3d5d6205.png">的拐点,<img src="https://tihai-oss-cloud.itihey.com/img/dbd92ae238d8dea77c4fc1391e0fd05d.png">是<img src="https://tihai-oss-cloud.itihey.com/img/f78280ee281f6c3be6aeaf9d3d5d6205.png">的极值点C. <img src="https://tihai-oss-cloud.itihey.com/img/7a3984a48b7087d7103922316bdeead0.png">都是<img src="https://tihai-oss-cloud.itihey.com/img/f78280ee281f6c3be6aeaf9d3d5d6205.png">的拐点D. <img src="https://tihai-oss-cloud.itihey.com/img/bc115e368c819c7f5cd4b7d4d14730aa.png">是<img src="https://tihai-oss-cloud.itihey.com/img/f78280ee281f6c3be6aeaf9d3d5d6205.png">的拐点,<img src="https://tihai-oss-cloud.itihey.com/img/3f1d1423a1b8607bc8e0b08b8010955f.png">是<img src="https://tihai-oss-cloud.itihey.com/img/f78280ee281f6c3be6aeaf9d3d5d6205.png">的极值点

曲线<img src="https://tihai-oss-cloud.itihey.com/img/9a6e1aca7df4eafd703627a6e3443739.png">的拐点是()

A. <img src="https://tihai-oss-cloud.itihey.com/img/0ce4106ff85ab590265ba1c16c81dca2.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/cf1b35ca7c12027180f71d5c3481951f.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/e1816be4241af579070b8787fb302951.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/819bcd6626dfbfa0d6eff84d1c2027f2.png">

函数<img src="https://tihai-oss-cloud.itihey.com/img/455f5ba45296881f787374abde9d2c53.png">的凹区间是( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/5fa64a07a834e9ae4e7752ca84497268.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/bb29eb49bf2724b37aa522ee4ecfafce.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/4071e1daffe84422d2b5736acb0be5d5.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/9fc20a3b04bace0dc3c57c054fd98644.png">

设函数<img src="https://tihai-oss-cloud.itihey.com/img/f78280ee281f6c3be6aeaf9d3d5d6205.png">具有二阶连续导数,且<img src="https://tihai-oss-cloud.itihey.com/img/6093790525beefe86a7ec540c8156bcb.png">,则( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/ba489dfc10b877878087d78955eb0a54.png"> 是<img src="https://tihai-oss-cloud.itihey.com/img/f78280ee281f6c3be6aeaf9d3d5d6205.png">的极大值B. <img src="https://tihai-oss-cloud.itihey.com/img/ba489dfc10b877878087d78955eb0a54.png"> 不是<img src="https://tihai-oss-cloud.itihey.com/img/f78280ee281f6c3be6aeaf9d3d5d6205.png">的极值C. <img src="https://tihai-oss-cloud.itihey.com/img/ba489dfc10b877878087d78955eb0a54.png"> 是<img src="https://tihai-oss-cloud.itihey.com/img/f78280ee281f6c3be6aeaf9d3d5d6205.png">的极小值D. <img src="https://tihai-oss-cloud.itihey.com/img/6212951181d70ff81de7c07e016860f9.png"> 是曲线<img src="https://tihai-oss-cloud.itihey.com/img/f78280ee281f6c3be6aeaf9d3d5d6205.png">的拐点

函数<img src="https://tihai-oss-cloud.itihey.com/img/345aed2e67808625448dbcd274e97a92.png">有( )个拐点

A. 2B. 1C. 3D. 0

已知<img src="https://tihai-oss-cloud.itihey.com/img/fa5e8a3ffb0beeccb33a19ab5774d01d.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/f78280ee281f6c3be6aeaf9d3d5d6205.png">的图形在<img src="https://tihai-oss-cloud.itihey.com/img/aedcd195e2231aa2c586b0783e24bd90.png">内是( )

A. 单调增少且凸的B. 单调增加且凹的C. 单调增少且凹的D. 单调增加且凸的

曲线<img src="https://tihai-oss-cloud.itihey.com/img/3185a7d62187abc5d29f46009ff6b45a.png">的特点是( )

A. 有拐点<img src="https://tihai-oss-cloud.itihey.com/img/183569bc092654782c2f6e35f11d63e7.png">,但无极值点B. 既无极值点,又无拐点C. <img src="https://tihai-oss-cloud.itihey.com/img/50e1f78928b810a1cd1d18371e3e20bb.png">是极值点,<img src="https://tihai-oss-cloud.itihey.com/img/183569bc092654782c2f6e35f11d63e7.png">是拐点D. 有极值点<img src="https://tihai-oss-cloud.itihey.com/img/50e1f78928b810a1cd1d18371e3e20bb.png">,但无拐点

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