组卷网>知识点选题>利用奇偶性求函数解析式
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1 . 已知定义域为eqId7dcd2312d0bf4bb1befdfcc170e45791的奇函数eqId6f13759e937144069819aed2ae5a1057满足eqId6631c97d8d084168b80d16c7fae782b4,当eqId0b2539d8626345678ff21ec187987682eqId00e8b584731241a289de3dd067d9b348,则eqId053554b5ff734eb4a2832046f561f073eqId6f13759e937144069819aed2ae5a1057的解析式为(   )
A.eqId19b22ad0157249108c89a071cf7a5e51B.eqId4086cfd689d24c90b74dccc1f4cb0dfd
C.eqId0cfe627b5d0c40299856d81849475fc2D.eqId1e02ddbb0dd840e3ae959ec3870dcf81
2 . 设函数eqId6f13759e937144069819aed2ae5a1057是定义在R上的奇函数,当eqId4db620a5946b4ee0a9f530f35a6d505a时,eqId3010ec95362c426295785f00bbd0917d,则不等式eqId5a811ecc3f2d42c28dc31afcde4e9d3c的解集为__________.
单选题 | 较易(0.85) | 2021·全国高二专题练习
3 . 已知函数eqId4a1538b7d70f4fd18aa49faee4fb7c90eqIdf08b5c6de7464ca891f7f15c38786df2为定义在eqId3abaaedd36204e2cacb3fa4073cf99f5上的偶函数,当eqIdcb9cb8feb01f448397391534bb1367d5时,函数eqId2043b6b1419b42f988c47b116b4d7403eqId8ec90a8f27054b028a7871e62ef68c17的最小值为1,则eqId783c5f01aa1e49b29f88c27d2eca4354(   )
A.3B.eqIdbeffaaf8d5cd43cf8375210d69fce6beC.1D.2
更新:2021/05/22组卷:122
4 . 已知函数eqId4837c94ef0ff4dcf9b1dda4df363275a定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的奇函数,当eqId2d569479cd1c43c1af15895792b64db6时,eqIdcdce06a54d98435eb638d2fef09444b5,给出下列命题:
①当eqId4db620a5946b4ee0a9f530f35a6d505a时,eqIdcdce06a54d98435eb638d2fef09444b5
②函数eqId4837c94ef0ff4dcf9b1dda4df363275a有2个零点;
eqId78589ede94d94669a27c18ab91998333的解集为eqId66b2e54956754244ac2c30c4dc23d8b0
eqId0d3680f6c70744818eac9476fb46fd9beqIdd120eb4ac48d4e31a122a75642111f80,都有eqId3eaf78ac12c544a4a10d0a0953b5ae84.
其中正确的命题是(   )
A.①③B.②③C.②④D.③④
5 . 函数eqId4837c94ef0ff4dcf9b1dda4df363275a是定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的奇函数,当eqId2d569479cd1c43c1af15895792b64db6时,eqId96e05da250cc461e9a0cf2cc49eb9bf6,则下列结论正确的是(   )
A.当eqId4db620a5946b4ee0a9f530f35a6d505a时,eqId79939f52e8c44e22885cc7d61d8fe249
B.关于eqIda9cd3f94eb8045438f75e9daccfa7200的不等式eqId696a8c189a7347318f32d505ceadb32f的解集为eqIdcabb20ed9e9f4c939b851defa25d86b0
C.关于eqIda9cd3f94eb8045438f75e9daccfa7200的方程eqId5cd82768c190426d951738d97aa566e9有三个实数解
D.eqId0d3680f6c70744818eac9476fb46fd9beqIdd120eb4ac48d4e31a122a75642111f80eqId18d13c0bc26b4a30957ed97dca5d7601
填空题 | 容易(0.94) | 2021·湖北十堰市·高三二模
6 . 已知函数eqId6f13759e937144069819aed2ae5a1057是定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的偶函数,且eqIdaeea9cdfd28342f894395c985c453b8eeqId41b90e2fe6114af0b8c33f6ba459c3e2.写出eqId6f13759e937144069819aed2ae5a1057的一个解析式为__________
双空题 | 较难(0.4) | 2021·浙江高一期末
8 . eqId6f13759e937144069819aed2ae5a1057是定义在R上的偶函数,且当eqId26126945e23544d9b0cecaf9cf4809ac时,eqId2f8386da3502416ca6bea84884c553b3.则eqId4db620a5946b4ee0a9f530f35a6d505a时,eqId5a03d806387f4b5d8b5de0172913af28_______;不等式eqId23988e8233d443f3ade7bee813ab7f7f的解集是_____________
更新:2021/04/29组卷:257
解答题 | 一般(0.65) | 2021·浙江高一期末
9 . 已知eqId144eff5c0e4649138a21f2b1b6a06907是定义在R上的奇函数,当eqId26126945e23544d9b0cecaf9cf4809ac时,eqIdd7688e834969485aa9c18a5fc89ea5d5
(1)求eqId4db620a5946b4ee0a9f530f35a6d505a时,函数eqId6f13759e937144069819aed2ae5a1057的解析式;
(2)若函数eqId6f13759e937144069819aed2ae5a1057在区间eqId2c88ad6f232c42baa7d3d83e2243d961上单调递增,求实数a的取值范围.
(3)解不等式eqId2d5e61e63f1e4702aedf91c523706170
更新:2021/04/29组卷:442
解答题 | 一般(0.65) | 2021·浙江高一期末
10 . 已知函数eqId144eff5c0e4649138a21f2b1b6a06907为偶函数,当eqIdd7caa801b59d4def90d2fdb94a9b1c7c时,eqId0c1f66173d2344d1a816bb5a7b1655fb
(1)求eqId6f13759e937144069819aed2ae5a1057的解析式;
(2)当eqId7771636765b24f21bce0d5ef83b0d13a时,求证:eqId7a0c505ed3eb4495926143aeccae1268
更新:2021/04/29组卷:138
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