组卷网>知识点选题>利用导数值求参数值
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解答题 | 较难(0.4) | 2022·全国高三专题练习
1 . 已知函数eqId36360a1880c44436a9d9c823e06a8eaf,且曲线eqId144eff5c0e4649138a21f2b1b6a06907eqId795e60324b8d40468932f101562e2734处的切线方程为eqId5c3a456a64dd47228b5b5298c9439d8c.
(1)求实数eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7的值;
(2)若对任意eqId45f4ca0a3e5c4a4fa9585073df543039,都有eqId8626accfd8984e4aa76ab3f766a10fec恒成立,求eqIda4be99d332154d13a4a6ed1ff6444fe7的取值范围.
更新:2021/08/02组卷:0
2 . 若曲线eqId9b0177558df245719b36668f6857daf5eqId90f4010cc71b4998be6fa90952078f6b处的切线方程为eqId04f84aa6bc204b70a0bf15f3f51e26b0,则eqId783c5f01aa1e49b29f88c27d2eca4354_______.
3 . 实数eqId1405051b42dd4093be1088de5e4aaa48满足eqId944471bc2293426a816fc7682bed8ae3,则eqId0491b8ae26fe4413af65d7ba55ce1269的最小值为(   )
A.eqIdc052ddfbd4524f67a79e0e77c2e5656aB.eqId2644c4fd7d684e75ae5ed93cb3581244C.eqIdddd35c5d043e4ebeac32a99367053c68D.eqId401586f7a7f248b7904a4cfeaa2ed2f0
4 . 已知函数eqIdc154e0d2af514658b5efbae7826c920d的图像过点eqIdc30ed2bbd3d5457382598d1e2d67b6a4,且在点eqId4d4a3d0df34044a89322fd2e9c7acd3c处的切线方程为eqId15d82b4ee2fc4e178ebb0af199035e08.
(Ⅰ)求函数eqId9b37d03e47a347fc8fab9f814ba5fac4的解析式;
(Ⅱ)求函数eqId4837c94ef0ff4dcf9b1dda4df363275a在区间eqId1f0bdf0905964de69974073a47e88e98上的最大值和最小值.
填空题 | 容易(0.94) | 2021·江苏省邗江中学高二期中
5 . 函数eqId1c887f51a44040e094f209989c87f876在点eqIdc5cd91818fd84a4e874a7ca709dd11e8处的切线与直线eqId1642e65278b14670b8d166488392b92f垂直,则eqIdc185ddfad3864c4bb3f930fde498d2df_________
填空题 | 容易(0.94) | 2021·辽宁高二期末
6 . 写出一个满足下列条件的三次多项式函数:①eqId7dcd2312d0bf4bb1befdfcc170e45791上的奇函数;②在eqIda9d8558290c64896b00f1c4577d0d92f处的切线斜率为4,则eqId6f13759e937144069819aed2ae5a1057可以为__________.
7 . 已知函数eqId434ae55bbb4b488a91fc5a4187066dad
(Ⅰ)若曲线eqId9b37d03e47a347fc8fab9f814ba5fac4在点eqId2cb0b5c25a7e411abb9bf0c694c7c4ac处的切线倾斜角为eqId9e7f9209cee04cdb9a06395310730b31,求eqId70a27b6ddf6b478285353abb3b1f3741的值;
(Ⅱ)若eqId4837c94ef0ff4dcf9b1dda4df363275aeqIddca4c31f92e1447fb6eceb9fdf294175上单调递增,求eqId70a27b6ddf6b478285353abb3b1f3741的取值范围;
(Ⅲ)请直接写出eqId4837c94ef0ff4dcf9b1dda4df363275a的零点个数.
9 . 已知函数eqId18c9187b5b4a4265a3c5774a9e0dfa5d的图象在点eqIda2688d6c76fd4265b33a5472ebfd6946处的切线eqId417e80f1349244878d01fe90e0891f5f与直线eqId8f82cfb1b93a4c529046bfacdce1047d平行,若数列eqId6ca6684af631401eb76f86d4a81aea98的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和为eqIddb5481de79c946c0a760143297d5eade,则eqId487728b8e36041c3aa969bf673efa750的值为(   )
A.eqId76491cb007db407dbf313bc5b0a13d08B.eqId24aaa64933fa41269a00514ad5d00a33C.eqId202ba531cd07472a8544ab12bf8fc0fbD.eqId345d6790611f4375b7607c69d889fc18
10 . 函数eqIddad321920aa748acbfda07a3e70eb267的图象在eqIda9d8558290c64896b00f1c4577d0d92f处的切线方程为eqId6bc8c8988e5046bcbc4a4d5acefb5be8,则eqId4837c94ef0ff4dcf9b1dda4df363275a的极小值为(   )
A.eqIdf035b8f27d4645bb9f6a66f4a3f51918B.eqId5f9c67d949d5423687994106ee998863C.-1D.1
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