在
中,内角A,B,C的对边分别为a,b,c,且满足
.
(1)求角C;
(2)若
的面积为
,点D为AB中点,且
,求c边的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/690e3a7140ea133626ddfdf313bf0598.png)
(1)求角C;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adbd3e8cf8325999cde03adf845d3dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c30cd7b77f8f6f0b9286ba4a6103f10.png)
更新时间:2023-09-07 22:04:24
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【推荐1】已知
的内角
的对边分别为
,且向量
共线.
(1)求
;
(2)求
;
(3)若
为
的内心,求
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e62bbd30297092430abb91d978a669f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df16e68d89c8913b6fef753fcb0d428.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a704469569b68ee11ab166dba3f686f0.png)
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【推荐2】在
中,已知角
所对的边分别是
,且
.
(1)求
和角
的值;
(2)求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cb1b87d46c4d90539d2062e20ced628.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeac8852889187d226d10c038f8fc7ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐1】在五面体
中,
,
,
,
,
.
(1)证明:
;
(2)给出①
;②
;③平面
平面
.试从中选两个作为条件,剩下一个作为结论,可以让推理正确,请证明你的推理,并求出平面
和平面
夹角的余弦值.
注:如选择不同组合分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1773fc257a6f487d80c422887dd56d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/856e8dc5903774a95bd29dcc2c9877bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35112927cf711e1c9fa4c7dd392465b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f94ab32614c7ec18fd8a7549d712d15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9b0bdbac7874fc0784ae7dfc33e6b6b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/19/75767d45-1505-4025-8347-da9cfc62ad40.png?resizew=160)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38b5c1c5518b9332a2fb209c3621c700.png)
(2)给出①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0e3f834d569575e10b7b7af40ff4548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eff113d0df4877b8877721b05afb0321.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5352d28609d1b3d09a0a29d023d1bb72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61510c34c5795d7261569b4d09098271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c66d99a6a8415ddad22bbed33b64cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
注:如选择不同组合分别解答,按第一个解答计分.
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【推荐2】已知在△ABC中,角A、B、C的对边分别为a,b,c,(2a-c)cosB=bcosC.
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,求b.
(1)求角B的大小;
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adbd3e8cf8325999cde03adf845d3dd0.png)
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