组卷网>知识点选题>定义法判断证明函数的奇偶性
显示知识点
显示答案
| 共计 1403 道试题
1 . 已知函数eqIdf3a6ee9288c046489b942348b22ff211eqId982da3835b7946d999cc8604a2ece266eqIdd951487aa2c84adebbd85d63425e0e52.
(1)求eqId10852d81bc184140a7780250c82c6929的定义域;
(2)判断eqId10852d81bc184140a7780250c82c6929的奇偶性并予以证明;
(3)当eqId84baf5260a714df9a42e9e3daf01ca4a时,求使eqId6037963c390547f4b194ba806a9eff55eqIda9cd3f94eb8045438f75e9daccfa7200的解集.
更新:2021/09/26组卷:338引用[18]
3 . 已知函数eqId0f5f42f0cf81420088c9b47f0d4d8e7c.
(1)判断eqId10852d81bc184140a7780250c82c6929的奇偶性,并用单调性定义证明eqId10852d81bc184140a7780250c82c6929eqIddca4c31f92e1447fb6eceb9fdf294175上单调递增;
(2)若eqId6709283711bf4ae39fde99d031d3bb28,不等式eqId245ecccb11ec4f1d96991da191727081恒成立,求实数m的取值范围.
4 . 已知函数eqId847b7209f4104f8ca44f73cef45efb41,则下列函数为奇函数的是(   )
A.eqIdc3e4f9ee442745d5a80697c4fd6c82eaB.eqIdc33860c3df0441ba84201cfb6ca7bd2dC.eqId8c2f7efd875f4550bd33eb159334b9d9D.eqId665663f71d4c4f01abf38f1c6429a5a1
5 . 已知函数eqId10852d81bc184140a7780250c82c6929对于任意eqIda9cd3f94eb8045438f75e9daccfa7200eqIda96c35333bce498fac43d585fdcaf8c2,总有eqIdeb3d85733b524ed1afd9b75b5e487a64,且当eqIdaa1312dcc8e24925b421f7767761a363时,eqId2b66c467a8b74972bb77f68547157fef,若已知eqId9447549b04b6436c82c877aed542fa10,则不等式eqIda0dc9d128a10472b8efff58a4e74dd28的解集为(   )
A.eqIdcb79cfbd0e8a43b49fc80ab6ff77de1cB.eqId68f73587123947aba24aeda2e00fec2cC.eqIdd3554667d85845cb9563f0f5e017bdf8D.eqIda1a804b0d11a464aa9c71f4300232165
解答题 | 一般(0.65) | 2021·全国高三专题练习
6 . 设常数eqId23987d8f97f64e0f8d932563d19bd459,函数eqId325a8f81a6ca4a8a973750d6e98d322d
(1)若eqId0c38f0a158384394aead15505ad352cb,求函数eqId9b37d03e47a347fc8fab9f814ba5fac4的反函数eqId7571eb3c5a4d4a268ff804ce1e997c79
(2)根据eqId70a27b6ddf6b478285353abb3b1f3741的不同取值,讨论函数eqId9b37d03e47a347fc8fab9f814ba5fac4的奇偶性,并说明理由.
7 . 下列函数中,既是偶函数,又在eqId176a569ddabd4e4482d9ab5af6e2d6ea上单调递减的是(   )
A.eqId71208d783bcd4801ab29ca9438b45b6bB.eqIddd58ec7a923f4749a1c75b06119d7b78C.eqIdec86fdce017f44a09a087afe4f332b5cD.eqIdbf6caaf72f5f4ab3a7c89c2e549fca49
多选题 | 一般(0.65) | 2021·全国高二课时练习
8 . 下列函数中,既是奇函数又在区间eqId787fec3796eb4e9983c24c49d247da44上单调递增的是(   )
A.eqId358e31f075bb40e2825a0e675982ec75B.eqId73592c82f1e64cf9bbe4bc21f71f2e40
C.eqId7f7b2e9da1074fe8bdd778958d30a6efD.eqId61c16cf2da2d495cb687f636ffced712
单选题 | 一般(0.65) | 2022·全国
10 . 设函数eqIdda86ac9e90924a46a07e166557707fb9,则不等式eqId52b7d937082642c59bd33b1f033d4658的解集为(  )
A.(0,2]B.eqIdf4d3aaf6f2cb4903b6724a4f6781c6dc
C.[2,+∞)D.eqIdb8c6753cb0a0447788c417ed8b177129∪[2,+∞)
更新:2021/09/19组卷:216