组卷网>知识点选题>利用三角恒等变换解决三角函数性质问题
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解答题 | 一般(0.65) | 2021·陕西高一期末
1 . 已知函数eqId9862b8d68f4f49e39512d94b420285c1(eqId0c10827df4214807ac8d1bda56ba2323eqId8ccf61601cf049d8a2100ee27d5b2419eqIdbad20911b86a4e65bc17526c7832f5aa)的部分图象如图所示.
说明: figure
(1)求eqId10852d81bc184140a7780250c82c6929的解析式;
(2)设函数eqId598d05dedd794decaa3b1b335ec52116,若在eqId4834f84cdf124b20b608753c2e6ac695内存在唯一的eqId761b2917a82b4524b8dbab7e6380f014,使得eqIdcc121cd1bdaa4a81a3586e3361d57603eqId6fc94f6e181444c6b809fb393eb8fae6恒成立,求eqIda4be99d332154d13a4a6ed1ff6444fe7的取值范围.
2 . 已知函数eqId04e582cd26b847c387110c18ef499d23的定义域为eqIdadc1df4a508e40bc8382c93fb158b325,值域为eqId06d5487598bf43eca5cd6d9848160d53,则eqId29acb0c261b54266a24996d6a4932a8a的取值范围为___________________
4 . 已知函数eqId7aedbe785cd34d93afd9e963f307d03a是偶函数.若将曲线eqIdef14849ba04346999f9cdd05670b1e6b向左平移eqId4bbbce4c9d174148a92193e26d43bd72个单位长度后,再向上平移eqId37705e1ef6a84bbdbe88433e75932cdf个单位长度得到曲线eqId1942541e3e0c43ac97fcf12200fe70a2,若关于eqIda9cd3f94eb8045438f75e9daccfa7200的方程eqId7f0d123dd32f44868d007622c8ac23ddeqIdebd53af1d07b4a6f88d2b9343aff1a88有两个不相等实根,则实数eqIda4be99d332154d13a4a6ed1ff6444fe7的取值范围是(   )
A.eqId3a38395f01e941a8ba443c73b054ff57B.eqIdebedefbf6bfa4afdac16c80db6a6de37C.eqId9f0b2396a93740639937c6714f1b4a0eD.eqId593bc4bc0fc9440cae8200817a45bf0b
5 . 函数eqIdda5d953dea8342ab98428b28827502cf的最小正周期是(   )
A.eqId2cb51764ae3949b9b698fc2f9527dff2B.eqIdf1470514d3384b7d8224a7712ab506bdC.eqIdc12500d69e0342b3be4db149b0244a7aD.eqId7681784440c04c469bb134c3ea9fb53a
6 . 已知函数eqId8152364db13a4b8790f47b5998bc2222.
(1)若eqId6f13759e937144069819aed2ae5a1057的最小正周期为eqIdf1470514d3384b7d8224a7712ab506bd,求eqId6f13759e937144069819aed2ae5a1057的单调递增区间;
(2)若eqIdfe495eb4f75546319ce9eb5e3a716c94eqId6616029b78ac4f309773054ece9dbd52上恒成立,求实数eqIdf15782a6b93b49aeb4285c6f304dbe29的取值范围;
(3)若eqId8dbf4fe0dcb64fd5924399a2df82d61feqId8a4abf2f99a24e5ea3790ff252de535c,证明:存在无穷多个互不相同的正整数eqId761b2917a82b4524b8dbab7e6380f014,使得eqId584e296d727f4fa696adaf05f9c9774a.
解答题 | 较易(0.85) | 2021·全国高三专题练习
7 . 已知函数eqId2ac067bd007c408ebf4786c5d1121361.
(1)求eqId6f13759e937144069819aed2ae5a1057的最小正周期;
(2)设eqIdbc3c0a64f83b4b4b90e79160306632d1eqId6205121cc9bf49ab8b33d647989add24,求eqIdfcaf3bbe14e548cc8d47beb2467db5a0在区间eqId3166a50be9874cb7b3174228f919915feqId4a4f4c41f7f54910be17cafc9cc7d692的最大值与最小值.
更新:2021/08/01组卷:0
解答题 | 一般(0.65) | 2022·全国高三专题练习
9 . 已知函数eqId0443f4cd8fa541c682f2a266ab88b881,且函数eqId6f13759e937144069819aed2ae5a1057的最小正周期为eqIdc12500d69e0342b3be4db149b0244a7a.
(1)求函数eqId6f13759e937144069819aed2ae5a1057解析式及单调区间;
(2)已知函数eqIdfcaf3bbe14e548cc8d47beb2467db5a0与函数eqId6f13759e937144069819aed2ae5a1057满足eqId86ab4bbaae5a46aa98275dadd107d473,且eqIda57e3378c84d40e3ab5f0198ece07f9a.若eqId6ea3c6db01bd4d2481bf6ad528155b52,且eqIdc13953f2514e4c8f9c8aaaf5241c33aceqId6ccd34ca677841d2b5783194390ce053,求eqIdc13953f2514e4c8f9c8aaaf5241c33aceqId4eb56f42ca674f2f9c9101b548763159的值.
更新:2021/08/01组卷:0
解答题 | 较易(0.85) | 2021·全国高三专题练习
10 . 已知函数eqIdf9a5f222e3b74470aede82e961fe7130.
(1)将eqId6f13759e937144069819aed2ae5a1057化为eqId92a2d80f08da4c6b854e2c0f040fc068eqId3c364aeaadfc40e2a0b20d28f8f13d9eeqId8ccf61601cf049d8a2100ee27d5b2419eqId431ba81df76b40d6aa30b359e75df1ed
(2)若对任意eqIdd438ece5458a4987907c39a7aa2fe4b8都有eqId632000ed1db9460181dab4749fe093ab成立,求eqId70a27b6ddf6b478285353abb3b1f3741的取值范围.
更新:2021/08/01组卷:10
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