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单选题 | 一般(0.65) | 2021·山东高一期末
解题方法
1 . 已知eqId64b9b599fdb6481e9f8d9a94c102300b的面积为eqIda35cf66775a24732b08dc411968e2420,角eqId10bbe48f886a4fa78fdf8c1fd064f9b4所对的边分别为eqId0ce93bfa1f6a4a23b3258410dd19847aeqId2e37cf7454184861989b8989980a7e9f,且eqIde15d0da6546a4a5b899e582cfefc31ae,则eqId70a27b6ddf6b478285353abb3b1f3741为(   )
A.eqIda2a0ce3781fa4c26b624f5966b7dee44B.eqIdcd9b24a6a6e5426ab775be20461174e3C.eqId15d2088f003c4aad9745c07a7616191bD.eqId925f812080a34a48b322eeaf83ba5c91
解答题 | 一般(0.65) | 2021·四川雅安市·高一期末
解题方法
2 . 已知eqId64b9b599fdb6481e9f8d9a94c102300b的内角ABC所对的边分别为abc.向量eqId852079f025064455b83be7ca682cd848eqId537c35fe5a2a463baff4e07d8163ffeaeqIda6002ac978ce41fbb28e656514038cc9.
(1)求角A
(2)若eqId278f4a80fb99455dbf9354b008329213,求eqId64b9b599fdb6481e9f8d9a94c102300b周长的最大值.
填空题 | 一般(0.65) | 2021·四川雅安市·高一期末
3 . 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___________.
4 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,若eqIde303be108b44464f98243ca9c16d9bf4,且eqId865318f44090427088d8ea7248a49e3f,则该三角形的形状是(   )
A.直角三角形B.钝角三角形
C.等边三角形D.等腰直角三角形
解答题 | 较易(0.85) | 2021·河北唐山市·高一期末
解题方法
5 . eqId64b9b599fdb6481e9f8d9a94c102300b中,内角eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3所对的边分别为eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqId44925af6fb19413689ba5616e3647cba,已知eqId06d8114992a7400b8f4d3e55948893b0eqId41845fffeaf24636a869ca77bc2c8f66
(1)求角eqId8754ce8cf7f34f04abb9a0c041f57f5c
(2)若eqId64b9b599fdb6481e9f8d9a94c102300b的面积为eqIda5952da363094365a18b3b9561c293d5,求eqIdaea992e70d4943e49e893817eb885ed7的值.
多选题 | 一般(0.65) | 2021·河北唐山市·高一期末
解题方法
6 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,eqId9c9f8f85988c4b00a545d6fd2d97c888,则eqId8754ce8cf7f34f04abb9a0c041f57f5c可以是(   )
A.eqIdd3e88ecbd2db456396e01302a43b93d9B.eqId236bfe74f1024849b3818a5cd741f299C.eqId2cb51764ae3949b9b698fc2f9527dff2D.eqId022e530e1dd6453ab54467745e9df0a8
7 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,角eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3所对的边分别为eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqId44925af6fb19413689ba5616e3647cbaeqId0b819401cd23419482fbde927d8f2101eqId0cd8063abf2b458f80091bc51b75a904是边eqId0627be51821d4be7b3e024a354815d64上一点,eqId686612a3629141cca688664f84d38e77,且eqId9244d0dcab2d4e348a49df61d474ae87,则eqId7fbb4953e45e412abb252df2d6f2db5e的最小值为(   )
A.eqId162460205087478e9e016cec007c9cf5B.12C.eqIddc072b281119419c89b9c48066019a22D.20
填空题 | 较易(0.85) | 2021·沙坪坝区·重庆八中高一月考
解题方法
8 . 在eqId64b9b599fdb6481e9f8d9a94c102300b中,若eqId99e2f27f08a64fa5b6b77ed8386caf58,角B的平分线BDACD,且eqId279aed2042be443db8ad1b2897ef70a7,则eqId64b9b599fdb6481e9f8d9a94c102300b的面积是_______
解答题 | 一般(0.65) | 2021·广东高二期末
9 . 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.
10 . 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.
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