组卷网>知识点选题>利用函数的极值求参数值
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填空题 | 较易(0.85) | 2021·全国高二专题练习(理)
1 . 若函数f(x)=(x-2)(x2c)在x=2处有极值,则函数f(x)的图象在x=1处的切线的斜率为________
更新:2021/06/13组卷:0
2 . 已知函数eqIdf928a831018e4d219b47bd8f95bc8079
(1)若函数f(x)在定义域上单调的,求实数a的取值范围;
(2)若函数f(x)存在极值,且这些极值的和大于eqId6bdb736b48c5473dba1e674d27e71481,求实数a的取值范围
3 . 已知函数eqId4f6b9a9533ba41a2b5f09bbddfefa7e5在点eqIdb8d5ff2895614297a30a88e2af19641f处取极值eqIdf779fea550c34e76a58dfae5226a6115(其中eqIdf035b8f27d4645bb9f6a66f4a3f51918是自然对数的底数),函数eqIdc3ed232913cb485e94761e5f17ac09ea.
(1)求实数eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7的值;
(2)若对eqId0d3680f6c70744818eac9476fb46fd9beqIdd6ea22066b8e4c21892783bdb94c7472,且eqId70c08d40596445378a3ebc3942e99852都有eqId699b9e0826c942658202dc35330c4524成立,求实数eqId5f420ef2d0b94c4b8a5d8e20a5d1ce2c的取值范围.
解答题 | 一般(0.65) | 2021·全国高二专题练习(理)
4 . 已知eqId16b2d18d734d4c27ae5ae88337af4dfb,设函数eqId7fb4fa3ec4474618831b07baa9ef2021
(Ⅰ)若eqId6f13759e937144069819aed2ae5a1057eqId71f9948507e842958823524c2980d790上无极值点,求m的值;
(Ⅱ)若存在eqId994a288e4e1a4b13b04ff857652583f9,使得eqId3d363adad62e4114b6a0829f1358cf63eqId6f13759e937144069819aed2ae5a1057eqIda89f9b05125f42deb285e7ab995bc06e上的最值,求m的取值范围.
更新:2021/06/07组卷:146
解答题 | 一般(0.65) | 2021·浙江高二期末
5 . 已知e是自然对数的底数,函数eqId5fbb93bc26d54e93a0dc466fc96196abeqIde9edd995034840cfb557ea415074294a,且eqId2c07a82215514a4eaf0b1325853b8f48).
(Ⅰ)当eqIdd78df7c3aa4747a4b868757aa0e4e3f5时,求函数eqId6f13759e937144069819aed2ae5a1057的单调区间;
(Ⅱ)当eqId982da3835b7946d999cc8604a2ece266时,函数eqId6f13759e937144069819aed2ae5a1057的极大值为eqId35042a9000404cec92f70f975294facd,求a的值.
更新:2021/06/06组卷:0
6 . 已知函数eqId98012a9096d9457f846a64dfdef0d4c0eqIda9d8558290c64896b00f1c4577d0d92f处有极值10,则eqId413f35aa94e242b386a01d47040d3253(   )
A.eqId665df3b3997e4204a5dabe99cf764a55B.0C.eqId665df3b3997e4204a5dabe99cf764a55或0D.eqId7be7a891f8044e9392887d5a3c48b08d或6
7 . 已知函数eqId44b677097406453fa73e4c573ba958dfeqIde9edd995034840cfb557ea415074294a
(1)当eqId316e2199840e418e87252dba1d7d7ffd时,求函数eqId4837c94ef0ff4dcf9b1dda4df363275a的单调区间;
(2)若eqId4837c94ef0ff4dcf9b1dda4df363275a存在极小值,求实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围;
(3)设eqId761b2917a82b4524b8dbab7e6380f014eqId4837c94ef0ff4dcf9b1dda4df363275a的极小值点,且eqId7cf0930326b2401cabcaa9b01e095382,证明:eqId1f32bd1facaa4fdcb6303848c17ba750
8 . 已知函数eqId0e6f3a6f372a4ab3ba4601d315cdbd1b,其中eqId2c07a82215514a4eaf0b1325853b8f48
(1)若eqId4837c94ef0ff4dcf9b1dda4df363275a的极值为1,求实数eqId70a27b6ddf6b478285353abb3b1f3741的值;
(2)若对任意eqIdd7caa801b59d4def90d2fdb94a9b1c7c,有eqIdc6e0b1f2d618456f9e080b35a27fc3d0恒成立,求实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围.
填空题 | 较易(0.85) | 2021·全国高三其他模拟
9 . 已知eqId3b33cf86ad6d4410ad83c3f27ec346e8eqIda9d8558290c64896b00f1c4577d0d92f处取得极值,则eqId65797aeca60d411e96e0a2860c9843c8的最小值为___________.
更新:2021/05/27组卷:0
10 . 已知函数eqId126d3c0959fc473dabce60b376bc315f,其中eqIda9b38e608dba457493586202ea3f9b1c.
(1)若函数eqId4837c94ef0ff4dcf9b1dda4df363275a无极值,求eqIda4be99d332154d13a4a6ed1ff6444fe7的取值范围;
(2)当eqIda4be99d332154d13a4a6ed1ff6444fe7取(1)中的最大值时,求函数eqId28c4c21271884dfeac29ce0222782376的最小值.
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