组卷网>知识点选题>三角恒等变换与解三角形结合问题
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解答题 | 较难(0.4) | 2021·浙江高一期末
1 . 在锐角eqId64b9b599fdb6481e9f8d9a94c102300b中,角eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3的对边分别为eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqId44925af6fb19413689ba5616e3647cba,若eqId099fbdf58e0546768702162d94c29988eqIddb03755c742d4efab4d1ef50eadefdc6
(1)求角eqId8754ce8cf7f34f04abb9a0c041f57f5c的大小和边长eqIdaea992e70d4943e49e893817eb885ed7的值;
(2)求eqId64b9b599fdb6481e9f8d9a94c102300b面积的最大值.
更新:2021/06/15组卷:0
解答题 | 一般(0.65) | 2021·浙江高一期末
2 . 如图,为了检测某工业区的空气质量,在点A处设立一个空气监测中心(大小忽略不计),在其正东方向点B处安装一套监测设备.为了使监测数据更加准确,在点C和点D处,再分别安装一套监测设备,且满足eqId14a0494ebc83428da5b60cef293a19c6eqId579f162548df41b6a600399c078bfe00,设eqId4e3d77b7b3ea47d9bc80192f1233ab37
说明: figure
(1)当eqId1f47c5cb4cff4e3693aea66a93f39185,求四边形eqId5ce7a06ae7a34393b92b5277978ac014的面积;
(2)当eqId6c9518e43fd5459798a30cfc10026e3c为何值时,线段eqIdcf2da96900c948a1b3ce7cbfd420c080最长.
更新:2021/06/14组卷:0
解答题 | 较易(0.85) | 2021·浙江高一期末
3 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,eqId0ce93bfa1f6a4a23b3258410dd19847a分别为角eqId10bbe48f886a4fa78fdf8c1fd064f9b4的对边,且eqId2782f02943544dec8c45f3ea0060ef2f
(1)求角B
(2)若eqId171348d3fd224ea7b070d03757fcd7de,求eqId84bb3bf2bcd4450c85dd7570191c36fc的值.
更新:2021/06/14组卷:0
解答题 | 一般(0.65) | 2021·浙江高一期末
4 . 在①eqId154c29eadefd43ee9e1eac59ae0e0ed7,②eqId9745f1566e2f4152b29e120685996398,③eqId10e20d255ee340d8b4cdaaeb22e8d215这三个条件中任选一个,补充在下面的问题中,并解决该问题.
eqId64b9b599fdb6481e9f8d9a94c102300b中,内角eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3所对的边分别为eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqId44925af6fb19413689ba5616e3647cba,已知eqId5239c7cceefe4a36b7205bd2429e2eb6,且满足_______,试判断eqId64b9b599fdb6481e9f8d9a94c102300b的形状,并写出推理过程.
更新:2021/06/14组卷:0
5 . 已知eqId64b9b599fdb6481e9f8d9a94c102300beqIde556c875264c4b4bb136c2563c3b1a04eqId0cd8063abf2b458f80091bc51b75a904eqId99a3187c2b8f4bcc9703c74c3b72f1f3中点,eqId5aa63be630d14439a82d5d89434e57aa,则eqIdd7ffbd8833bf4a4b963ed9168d1a35db___________eqId8d071459fc6f45969a12886c2c6b3748___________.
填空题 | 一般(0.65) | 2021·浙江高一期末
6 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,ABC所对的边为abc,若eqId80e9254b40384764a4583949bc5a2303,则eqId64b9b599fdb6481e9f8d9a94c102300b周长的取值范围是_________
更新:2021/06/13组卷:0
7 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,已知角ABC的对边分别为abc,且eqId3cc076572deb441cbc61e735f2cd80a7eqIdf3f6900ecf234a52a396e44e20359cc6.
(1)求角C
(2)若eqId36248fcde12a4897b1b9eea76eecc7a2,求eqId64b9b599fdb6481e9f8d9a94c102300b的面积.
8 . eqId64b9b599fdb6481e9f8d9a94c102300b所对的内角eqId10bbe48f886a4fa78fdf8c1fd064f9b4所对的边分别为eqId0ce93bfa1f6a4a23b3258410dd19847aeqId427b845107984020934a04a509548304eqId82500c9621104168bd68a50b83789f03
(1)求eqIdf4be09d9c05f48288854eab7c046531a的值;
(2)若eqIdf33085e1bdfc4c56904f2a8a10432355,求eqId64b9b599fdb6481e9f8d9a94c102300b的面积
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