组卷网>知识点选题>利用三角函数值域求范围
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填空题 | 一般(0.65) | 2021·四川雅安市·高一期末
1 . 已知锐角eqId64b9b599fdb6481e9f8d9a94c102300b的内角ABC所对的边分别为abc,若eqIdd3e8d7f4a2c04298abc4c7ce6ffaec1eeqId8c40f05078fe4d6d9a41fcc10b09f627,则eqId64b9b599fdb6481e9f8d9a94c102300b面积的取值范围是___________.
解答题 | 一般(0.65) | 2021·广东高二期末
2 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,内角ABC所对的边分别为abc,且若eqId6910c51e784c4b7caa617e50ed1a3c78. DBC的中点,eqIdbe1938fa020248698a5ed4e809883552,记eqIde944ec07a58a40b5b75e96288180191e
说明: figure
(1)若eqIdaf27f36ce7eb4a3dbfb517dc2c710ef3,求AB的值;
(2)求a+2c的取值范围.
3 . 在锐角eqId64b9b599fdb6481e9f8d9a94c102300b中,角eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3的对边分别是eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqId44925af6fb19413689ba5616e3647cba,已知eqId4ecf984a422f4cf0bd42f818efa20fa7.
(Ⅰ)求角eqId19a4eb16029e4550a14f2afe4741a3c3
(Ⅱ)若eqIdd3e8d7f4a2c04298abc4c7ce6ffaec1e,求eqId7bc6fc8794944e57a77be639d9d491b5eqId4ddba6db3da948fbad12a7b08aa05161方向上的投影与eqIdeb5a5318fc744b518e7c84593be53908eqId140a56f3552241ad94c2078966fd079b方向上的投影之和的取值范围.
4 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,eqId10bbe48f886a4fa78fdf8c1fd064f9b4所对的边分别为eqId0ce93bfa1f6a4a23b3258410dd19847a,向量eqId2540bdcbbd5543f19d3f00872ee7cbb3,且eqId884f166c44f64b0782f8966c605d42bf.
(1)求角eqId052844cae8574a8ab842c38a039baac0的大小;
(2)若eqId64b9b599fdb6481e9f8d9a94c102300b外接圆的半径为2,求eqId64b9b599fdb6481e9f8d9a94c102300b面积的取值范围.
5 . 在锐角eqId64b9b599fdb6481e9f8d9a94c102300b中,角eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3所对的边分别是eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqId44925af6fb19413689ba5616e3647cba,若eqIdd6886f2d591849b3b00fa51897abd70a,则eqId3b16fcbf7b3445deb10624054e1c9e1c的取值范围是______
解答题 | 一般(0.65) | 2022·全国高三专题练习
6 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,内角eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3所对的边分别为eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqId44925af6fb19413689ba5616e3647cba,已知向量eqId6d4a009b0fb8438ca3b2af0f83eb394ceqId9692ff6ea6b3465991bfa9a305271195满足:eqId04580531b4c54e45b5bd395b2010be0eeqIddb1f92cb51b2441bbea4c9d68f41423c,且eqIdb9c73383d9f54da6a84cfe085260c9c2
(1)求角eqId052844cae8574a8ab842c38a039baac0
(2)若eqId64b9b599fdb6481e9f8d9a94c102300b是锐角三角形,且eqIda08ce385279d41c789695fb651b17890,求eqId3de612e435944f09ae5f19c7c64d03c4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
7 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,内角eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3所对的边分别为eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqId44925af6fb19413689ba5616e3647cba,且eqIdb198ca94f4024597973b04a1d97cf90c
(1)求eqId052844cae8574a8ab842c38a039baac0
(2)若eqId64b9b599fdb6481e9f8d9a94c102300b为锐角三角形,eqIdf33085e1bdfc4c56904f2a8a10432355,求eqIdaea992e70d4943e49e893817eb885ed7的取值范围.
更新:2021/07/31组卷:0
解答题 | 较易(0.85) | 2022·全国高三专题练习
8 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,已知角eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3所对边分别为eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqId44925af6fb19413689ba5616e3647cbaeqIde85af40b85104b7cacb389ad546a5d1c.
(1)求角eqId19a4eb16029e4550a14f2afe4741a3c3
(2)若eqIdf33085e1bdfc4c56904f2a8a10432355,求eqId4896e0b6b57542ed8b6cc441b3f52180的取值范围.
更新:2021/07/30组卷:0
解答题 | 一般(0.65) | 2021·全国高三专题练习
9 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,角eqId10bbe48f886a4fa78fdf8c1fd064f9b4所对的边分别为eqId0ce93bfa1f6a4a23b3258410dd19847a,且满足eqId0316b4e12d994261a48937d31019c1f7
(1)求角eqId052844cae8574a8ab842c38a039baac0的值;
(2)若eqId83df5d9b56114100a1bd1a72628df945eqId1980a0aecf5545d1815994021e3bc626,求eqId48c1aeb17da54230bbc20188bebfb5d6的取值范围.
更新:2021/07/30组卷:0
解答题 | 一般(0.65) | 2021·辽宁锦州市·高一期末
10 . 为进一步增强全市中小学学生和家长的防溺水安全意识,特在全市开展“防洲水安全教育”主题宣传活动.该市水利部门在水塘等危险水域设置警示标志,警示标志如下图所示.其中四边形eqId5ce7a06ae7a34393b92b5277978ac014,四边形eqIdfa5429391c724bd0b38b0ec703f6e802,四边形eqId4f3384a032954f2b887d4c2e86a3471e均为正方形,且eqId348bf2c3045d49f797736d5858af3ce8eqId2b5bc0c60ad54d5380ad2a70ea4c180a,其中eqId10381e9fca8b4095b66c934255c907b4eqIdbf5e979cba2c43038f5188ba6edfe86c为加强支撑管.
说明: figure
(1)若eqId3cbccc1e5d8b4841a9ea276ed85722db,求eqId052844cae8574a8ab842c38a039baac0到地面的距离;
(2)若记eqId215eb05a69f44ce18325283a744412e8eqIdb45ab01e7dc24da6baacf9d03d2ed5e1),eqId1735664451f04d77b9d621682e8bf3d1.
①求eqIda197b5d01f24404da5570446bd1ac2de的解析式;
②求支撑管eqIdbf5e979cba2c43038f5188ba6edfe86c最长为多少?并求此时的角eqId6c9518e43fd5459798a30cfc10026e3c.
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