组卷网>知识点选题>“在”与“过”,求曲线y=f(x)的切线方程
显示答案
| 共计 2176 道试题
1 . 已知函数f(x)=eqId8d1130e0e0684f0d833225e5a60e6710.
(1)若函数f(x)在点(1,f(1))处的切线方程为y= eqIdf201fbc3bac04f3396a13987cd2540b3 4x+m,求实数am的值;
(2)当a=1时,求函数f(x)在区间eqIdcca64b7dc9d543ea887547ee2e163465上的最值.
3 . 已知函数eqIde3fdc953c5b64ebea807ff3f552e6598eqIdd5a6569623204652aada8c497a766e0a处有极值,其图象经过点eqId1a96ec6bdcaa46a5a22c72927750860d,且eqIdb68ff50de57e4f7f8c5e2326ed16c1a3
(1)求函数eqId10852d81bc184140a7780250c82c6929的解析式;
(2)求函数eqId10852d81bc184140a7780250c82c6929eqId304afd9f2ec84e138ab539275a5edd19处的切线方程.
4 . 设函数eqIda9749332a05e4b37b19cd5b9e0c9eb18.
(1)当eqId353d918c839747d0a59b7c6bd24f35e8时,求eqId10852d81bc184140a7780250c82c6929eqId90f4010cc71b4998be6fa90952078f6b处的切线方程;
(2)若f(x)在eqIdbe1458080a8c442fbbc83863be99bb06上有且只有一个零点,求实数eqIda4be99d332154d13a4a6ed1ff6444fe7的取值范围.
6 . 曲线eqId3cc10cbb6e394651b6140cd5c5f80e17eqIdc5faa3a08c944a41850c52572707bcad处的切线l与坐标轴围成的三角形的面积是(   )
A.eqId04ecbea203e9403faba78dc5f96d7a50B.eqIdad5f737652ed475685fc66962fea4283C.eqIde60353a13af44e2aaf8d63119a670b40D.eqId8906a4b886d54e7da183557dd24195cb
7 . 已知函数eqId9e704d03d87545a3997ecb2d2b63cd34.
(1)若函数eqId10852d81bc184140a7780250c82c6929有两个零点,求eqIda4be99d332154d13a4a6ed1ff6444fe7的取值范围;
(2)若eqIde6f0b8af9cc24958ad65ef74c5fbf445,曲线eqId9b37d03e47a347fc8fab9f814ba5fac4在点eqId8fa1cdc8ce384065bd55c5edc6609190的切线也是曲线eqIdabe2df9f4dc040da90ca59c4c917f647的切线,证明eqIde9acf54627ab4bb491832a39e4583e49.
8 . 已知直线eqIddbbf926b2acb4e828fd10e7d39dd90db与曲线eqId1136eccd500847f09155f4dd3db4f709在点eqId2cb0b5c25a7e411abb9bf0c694c7c4ac处相切,则下列说法正确的是(   )
A.eqId10852d81bc184140a7780250c82c6929的极大值为eqId959384614308497bb8fd14537117eeb9
B.eqId10852d81bc184140a7780250c82c6929的极小值为eqId2df7d8d84cb24e328a43bb18cd4881ba
C.eqId10852d81bc184140a7780250c82c6929eqId68f73587123947aba24aeda2e00fec2c上单调递增
D.eqId10852d81bc184140a7780250c82c6929的极值存在,但随着eqIda4be99d332154d13a4a6ed1ff6444fe7的变化而变化
9 . 已知函数eqId9b37d03e47a347fc8fab9f814ba5fac4eqIdc5faa3a08c944a41850c52572707bcad处切线过点eqId78382e9417d5460f9c432cdbc83f3ca9eqId9c5cee46e747402a86421409c4ffd575,则eqId87c7fc99b15a43159929fa7bb4008641的值为(   )
说明: figure
A.eqId49b7b111d23b44a9990c2312dc3b7ed9B.eqIdfcc58431683b452ca65d1d9977a280bdC.eqId6b2724baa0064c51b2ba39f5b281a1ebD.eqId74f672b1271642a8983d0b66ebc25208
10 . 已知函数eqIdf815dbfb6c01419e824ff02243cb16cceqIde9edd995034840cfb557ea415074294a,曲线eqId144eff5c0e4649138a21f2b1b6a06907在点eqId0b1b4db05c2b4383b710e7d505a3605a处的切线过点eqId901b74730471488691d522bfd5045640.
(1)求eqId70a27b6ddf6b478285353abb3b1f3741的值;
(2)若eqId6f13759e937144069819aed2ae5a1057eqId02b4fd87b6dc469297673255c63eed1c处取得最小值,求eqId2a26379f02914b9b8415d5e7a52fff1c的值.
3道题,平均难度一般 清空试题 进入组卷中心
收起