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已知函数eqId374d942648674b7292fa9bef9d718150eqIda9c249f466ac49e3a81d792f7553f12b.
(1)求函数eqId6f13759e937144069819aed2ae5a1057的单调区间;
(2)求函数eqId606364817c994b28ac7889da43b995f3的零点个数;
(3)当eqId316e2199840e418e87252dba1d7d7ffd时,求证不等式eqId2eb5e9ec51c548b4beb37de6788ca4de解集为空集.
更新:2019/11/20难度系数:0.4题型:解答题组卷:0次
设函数eqId1071e42c782a487cab486f6c6971a798
(1)当b=0时,求函数eqId6f13759e937144069819aed2ae5a1057的极小值;
(2)若已知b>1且函数eqId6f13759e937144069819aed2ae5a1057与直线y=-x相切,求b的值;
(3)在(2)的条件下,函数eqId6f13759e937144069819aed2ae5a1057与直线y=-x+m有三个公共点,求m的取值范围.(直接写出答案)
更新:2019/11/20难度系数:0.65题型:解答题组卷:0次
若函数eqId0a68e5f74e68414198bbfe43a9b712ee在区间eqId6bb86d3554064259ba4b5bbfda7e5c5d上单调递减,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围是___.
更新:2019/11/20难度系数:0.65题型:填空题组卷:0次
直线eqId417e80f1349244878d01fe90e0891f5f经过点eqId41455aaf6e55490a933a1db303b333ac,且与直线eqIdcae57d0c6c30486ea5bfdef5135c731d平行,如果直线eqId417e80f1349244878d01fe90e0891f5f与曲线eqId1aacfd8f79754517ab57903022e76d98相切,那么eqIdaea992e70d4943e49e893817eb885ed7等于(   )
A.eqId62db1d1f989e4c4da063e07a8ae90dd7B.eqIdfcc58431683b452ca65d1d9977a280bdC.eqIde41289c7307b48bd893a195b321d250fD.eqId767acf51abfd4d97a757561d1a882151
更新:2019/11/20难度系数:0.65题型:单选题组卷:0次
已知函数eqIde35fe87a5eae48068a19ea65fb8f4a5feqIde7addab005084bb4b9c2748b71772cb6.
(1)讨论函数eqId6f13759e937144069819aed2ae5a1057的零点的个数;
(2)当函数eqId6f13759e937144069819aed2ae5a1057有两个零点时,证明:eqId5582fb6479624286a1466764489f6a08.
更新:2019/11/20难度系数:0.4题型:解答题组卷:0次
已知函数eqId3c25cbbdc9804997aa98db49fa7d2185,且不等式eqId259444c5392441f89aa9feffa5d652a8eqId176a569ddabd4e4482d9ab5af6e2d6ea上恒成立,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围为______.
更新:2019/11/20难度系数:0.65题型:填空题组卷:0次
已知函数eqIdd82e0d55e3f947cf9252b6eea3343e1c的图象在eqId903249fbac964a68b5a8602ccb41da3c处的切线斜率为eqId5f9c67d949d5423687994106ee998863.
(1)求实数eqId70a27b6ddf6b478285353abb3b1f3741的值,并讨论eqId4837c94ef0ff4dcf9b1dda4df363275a的单调性;
(2)若eqIda0fbf6dcdce64aa19d3619085a3c1899,证明:eqId55965d0502ec4dbca8187b6f32f000f1.
更新:2019/11/20难度系数:0.4题型:解答题组卷:0次
曲线eqId0edb272fbbb9444083203b51dd23a06d在点eqId8ee3687f973c472aa424869ab39903eb处的切线方程为________.
更新:2019/11/20难度系数:0.85题型:填空题组卷:0次
已知函数eqId52b0f07b40d34c6ea69fddd0f786ef25有两个极值点,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围是(   )
A.eqIdab8012328b434a26ae4756534736a3c5B.eqIdb5a28493ac414b5ea655adf14146e35cC.eqId5848a64b1ceb465091941160ebc93759D.eqId91b156fda3c54d99a67e9405e14fc22b
更新:2019/11/20难度系数:0.65题型:单选题组卷:0次
已知函数eqId4d588da515774c378a108d141a398a65eqIda4c74890878b404a8a9bbd7043501c1a,其中eqIdca4ab76061b14cdfbb5b2cb8cf37b9c0.
(1)求函数eqId4837c94ef0ff4dcf9b1dda4df363275aeqId9b2bca6d99364ce799c376e2b063e6d8的值域;
(2)用eqId82464233fb3e420fbbdccc392ac33abd表示实数eqId3a4208e0040c42ed8b09de2cae9d562eeqIdf458db68122849abb588feb2e682d9ac的最大值,记函数eqId10856a2a14c7412aa8d43a45492bc931,讨论函数eqId9c705d01261145f1a3b3d15d276106ff的零点个数.
更新:2019/11/20难度系数:0.4题型:解答题组卷:0次
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