组卷网>知识点选题>图像法求三角函数最值或值域
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解答题 | 一般(0.65) | 2021·全国高三专题练习
1 . 已知函数eqIddc85896e6fef407c8a1ded82dc03e12beqIdf1fa00a191964f6cadbfb6ad37989b1d,再从条件①、条件②、条件③这三个条件中选择一个作为已知,其中条件①eqId20ff9761f1594e85b3cc1448586bc575;条件②:eqId0283148cf07b4794858bce1f7f8a9d47;条件③:eqId38d0dbf517b64b729bec19b19693d985.求:
(1)eqId6f13759e937144069819aed2ae5a1057的单调递减区间;
(2)eqId6f13759e937144069819aed2ae5a1057在区间eqId3166a50be9874cb7b3174228f919915feqIdd1d5a92cdaed453fac0aba080cf94cec的取值范围.
更新:2021/08/01组卷:0
解答题 | 一般(0.65) | 2022·全国高三专题练习
3 . 已知函数eqIdd108868f2b8b4589ba18bc3dbe32b3c1.
(1)若eqIda247cabb0ebe48bb8ab8a495b7f2341c,求函数eqId6f13759e937144069819aed2ae5a1057的值域;
(2)在eqId64b9b599fdb6481e9f8d9a94c102300b中,eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqId44925af6fb19413689ba5616e3647cba分别是角eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3所对的边,若eqId3b798648b226493888fd5abb334b9ecbeqIda69355e04021454c9c4b09bae07ee564,且eqId70785e1082b24ee68933ba7a7617ea46,求边eqId44925af6fb19413689ba5616e3647cba的值.
更新:2021/07/31组卷:0
解答题 | 一般(0.65) | 2021·全国高三专题练习
4 . 已知eqId64b9b599fdb6481e9f8d9a94c102300b的角eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3所对的边分别是eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqId44925af6fb19413689ba5616e3647cba,且满足eqIdb26b87d081284fc29e2479f1ad04a9d2
说明: figure
(1)证明:eqIdaea992e70d4943e49e893817eb885ed7eqId70a27b6ddf6b478285353abb3b1f3741eqId44925af6fb19413689ba5616e3647cba成等差数列;
(2)如图,若eqId27b5d25b7b1b4ac58da3e43960fcc64e,点eqId2efda802d5534f6d92d9f8af7aaec28beqId64b9b599fdb6481e9f8d9a94c102300b外一点,设eqId13e7c0c9130f4ded9116bfa787aa01b0eqId4678389be574409b8161f6b9b560cf68,求平面四边形eqId4ec026421d4e4f329ea833cadeb5b70b面积的最大值.
更新:2021/07/31组卷:0
5 . 已知向量eqIdc37006e109314c978bbf0c99755c7307 ,eqId71ffd96eec1340ef93d2ceff408015fceqIda27aabb5daff4906b57d48fb509145b1
(1)求函数eqId6f13759e937144069819aed2ae5a1057在区间eqIde025e0ddadd3440088b14d58382207d3上的最值;
(2)设eqIdc20969555d3242cb9dfe0886420a04baeqId435c1fef9a3540008403a8fca108fc76,求eqIdeb5364473528434b90b00d1d7e2c7bbc的值.
6 . 已知f(x)=eqId4db71f612e3f4c93866b0f71c1966b8c.
(1)求函数f(x)的最小正周期和图象的对称轴方程;
(2)求f(x)的单调增区间;
(3)当xeqIdef8f18f097994480b4ec17bb4234a37c时,求函数f(x)的最大值和最小值.
7 . 已知eqId482d2120060f434484deb64acd74d7d5,具有下面三个性质:①将eqId4837c94ef0ff4dcf9b1dda4df363275a的图象右移eqIdf1470514d3384b7d8224a7712ab506bd个单位得到的图象与原图象重合;②eqId6709283711bf4ae39fde99d031d3bb28eqId5b89127a55594621ae9b9d3b852975ea;③eqId4837c94ef0ff4dcf9b1dda4df363275aeqIdae57326f6b734b1da3b9a27997dad68a时存在两个零点,给出下列判断,其中正确的是(   )
A.eqId4837c94ef0ff4dcf9b1dda4df363275aeqId076e811d69564d3193769839a4ddf1c4时单调递减
B.eqId399f34cbcc3c46a194410a849d065db2
C.将eqId4837c94ef0ff4dcf9b1dda4df363275a的图象左移eqId52e9cc5199ee4037973803fc7c50fa1f个单位长度后得到的图象关于原点对称
D.若eqId28c4c21271884dfeac29ce0222782376eqId4837c94ef0ff4dcf9b1dda4df363275a图象关于eqId004d314fa26a4434b66fc193cefa4b3d对称,则当eqId254ce49683744f459501a3d4fe6dac6e时,eqId28c4c21271884dfeac29ce0222782376的值域为eqId3e7a568e74e24e898022760c47c51566
9 . 数学中一般用eqIddc54138408a64b1abf881709cea39c5f表示eqId75cea6bfb0dd486cb2c6c7bac50087ed中的较小值,关于函数eqIdbc8992534b434b8fb6ed7a3b2d290407有如下四个命题:
eqId6f13759e937144069819aed2ae5a1057的最小正周期为eqIdf1470514d3384b7d8224a7712ab506bd;   ②eqId6f13759e937144069819aed2ae5a1057的图像关于直线eqIde4d2eea07bab4ba4b718136a1e4e764c对称;
eqId6f13759e937144069819aed2ae5a1057的值域为eqIde41ea55a3f6849caabfd3a7d7a011b71;    ④eqId6f13759e937144069819aed2ae5a1057在区间eqIdf25aca440a164cce8d9aae1039bd996b上单调递增;
其中是真命题的个数是(   )
A.1个B.2个C.3个D.4个
10 . 己知eqIda75723a82eb449c99cfd65d1dd3d0e70
(I)求eqId6f13759e937144069819aed2ae5a1057的最小正周期及单调递减区间;
(II)求函数eqId6f13759e937144069819aed2ae5a1057在区间eqId2ae988b00be3499786a3510849d92ff2上的最大值和最小值.
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