名校
1 . 记
的内角
的对边分别为
,
,
,且
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b939bf0591883ab80d9e58a03718c79.png)
______ .
![](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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a830ae6b272d18d1a1261dd423b032a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b939bf0591883ab80d9e58a03718c79.png)
您最近一年使用:0次
名校
2 . 已知向量
.
(1)求
的取值范围;
(2)记
,在
中,角
的对边分别为
且满足
,求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3a0fc1d8e8a902ff9f001b77500e26e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3bebc84392a99f5a68de2da36c0e418.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbadb801b4df353885a517d465a3929.png)
![](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/a393b5433b7bba69dea4a648692af7e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38e3d87be9f706832ef25537d78a201b.png)
您最近一年使用:0次
名校
解题方法
3 . 已知
为正实数,且满足
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd98ce07e05c58d83a48d90dfcb28fd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f008cea432b68934066d32243ccf69bf.png)
A.![]() | B.![]() | C.8 | D.6 |
您最近一年使用:0次
2024-05-12更新
|
991次组卷
|
3卷引用:湖南省湖湘教育三新探索协作体2023-2024学年高二下学期期中联考数学试题
名校
解题方法
4 . 记△ABC的内角A,B,C的对边分别为a,b,c,已知
.
(1)求角A;
(2)若
,求△ABC的面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91d747ae3c2a21a976b072d38c360a97.png)
(1)求角A;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
您最近一年使用:0次
2024-05-11更新
|
981次组卷
|
4卷引用:湖南师范大学附属中学2023-2024学年高二下学期期中考试数学试题
湖南师范大学附属中学2023-2024学年高二下学期期中考试数学试题(已下线)专题02 高一下期末真题精选(1)-期末考点大串讲(人教A版2019必修第二册)江苏省前黄高级中学2024届高三下学期三模适应性考试数学试题福建省安溪铭选中学2023-2024学年高一下学期6月份质量检测数学试题
名校
5 . 已知
且
,
.则下列关系一定成立的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe4194589915a694e5aaecc401b9ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44cbc322861846709c08c7f1da746848.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
6 . 如图,一辆汽车在一条水平的公路上向正西行驶,到
处时测得公路北侧一山顶
在西偏北
的方向上,行驶
后到达
处,测得此山顶在西偏北
的方向上,仰角为
,则此山的高度
为( )
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a0ed18bdcdc50e3b52b9366db524d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5980537b6c24aba358236446e7135daa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0572a9bd316c92391d73b095df65e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a0ed18bdcdc50e3b52b9366db524d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-05-11更新
|
356次组卷
|
2卷引用:湖南省常德市第一中学2023-2024学年高一下学期期中考试数学试题
7 . 在
中,
,
,
为
边的中线,
为
的中点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/645ce289c7cd2c004a200cfe5372d36b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ece8b2caad657f29ad830d78abd54a66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1af98f1fb74e141fe4652c337f27bc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/645ce289c7cd2c004a200cfe5372d36b.png)
您最近一年使用:0次
名校
解题方法
8 . 在
中,角A,B,C的对边分别为a,b,c.点M是
的内心.若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75835ac147d3ab1a8a54f06d1271873d.png)
,则
的最小值为______ ,
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75835ac147d3ab1a8a54f06d1271873d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04baa4bae5d52fe9d106aab4334a026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5201fc26d013f6fb889933c0e32f5c53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a60237e8d1bca2cbfcabbcef530b7d1.png)
您最近一年使用:0次
名校
9 . 莫利定理,也称为莫雷角三分线定理,是由英国数学家法兰克·莫利于1899年左右发现的一个几何定理.该定理的内容如下:将任意三角形的三个内角三等分,则靠近某边的两条三分角线相交得到3个交点,这样的三个交点可以构成一个等边三角形.这个三角形常被称作莫利正三角形.如图,在等腰直角
中,
,
,
是
的莫利正三角形,则
的边长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e587c886cd9f7d48f0cce82dcb940c8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6296933464b20fd98082a0cbc731f7f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
10 . 已知数列
的前
项和为
,
,
,且
.
(1)证明:数列
是等差数列.
(2)求
的通项公式.
(3)若
,数列
的前
项和为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d0a39d93f6b19cbfcfe7a33d7a3ea7c.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/832fd7a51831135b6ee6a01981db250e.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/936132b0b4c609369ee57e1908fe9c1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d76c3eb0a07a827877d7a4dc306211.png)
您最近一年使用:0次
2024-05-08更新
|
1492次组卷
|
4卷引用:湖南省长沙市第一中学、长沙市一中城南中学等多校2023-2024学年高二下学期期中考试数学试题