名校
1 . 已知
,角
所对应的边分别为
,且
,则
是( )
![](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/a589fc742e2d83b837f162604d05cd19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.直角三角形 | B.等边三角形 | C.钝角三角形 | D.锐角三角形 |
您最近一年使用:0次
解题方法
2 . 在△ABC中,角A,B,C所对边分别为a,b,c
(
是常数),D是AB的中点.
(1)若
,求
的值;
(2)若
且
,求cosA的值;
(3)若
时,求△BCD面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80149b8192b607d7f81d74deea3f25a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500d68f2678989a5ce7431cfd51b019d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99ea513ef4c8fc4d8c31eff498740680.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500d68f2678989a5ce7431cfd51b019d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c24a968c73e960698a572ab01e3698.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2f2d7c81cb44416bcdf59419637682.png)
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名校
解题方法
3 . 已为
分别为
三内角
的对边,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194cbaf230955123bb89808a73b17ec2.png)
(1)求
;
(2)若
,角
的平分线
,求
的面积
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.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/194cbaf230955123bb89808a73b17ec2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b77f1b9b728f39d0d9618504567eeb96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
2022-06-25更新
|
1163次组卷
|
4卷引用:浙江省宁波市九校2021-2022学年高一下学期期末联考数学试题
浙江省宁波市九校2021-2022学年高一下学期期末联考数学试题黑龙江省哈尔滨市第六中学校2021-2022学年高一下学期期末数学试题江苏省扬州市仪征中学2022-2023学年新高二暑期调研测试数学试题(已下线)期末专题02 解三角形综合-【备战期末必刷真题】
名校
解题方法
4 . 在
中,角
的对边分别为
,且
.
(1)求
;
(2)在①
,②
,③
这三个条件中,选出其中的两个条件,使得
唯一确定.并解答之.
若___________,___________,求
的面积.
注:如果选择多个条件分别解答,按第一个解答计分.
![](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/6ca2e081d851bbcef580aadc279a668c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)在①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e0a2567c3ccc4f2f211e26c9dd13f68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2ccff4151ac59fc4be76a1b705cd8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
若___________,___________,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
注:如果选择多个条件分别解答,按第一个解答计分.
您最近一年使用:0次
2022-06-22更新
|
1225次组卷
|
5卷引用:浙江省杭州市2021-2022学年高一下学期期末数学试题
名校
解题方法
5 . 设
的内角A,B,C的对边分别为a,b,c,若
,
,
,则
面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b97bb18e5ca34d22b5e827316a122a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6129fbf40a950fc8c516f0abaab21957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/988502c8954bb861ab92ec116c001d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.2 | B.![]() | C.![]() | D.6 |
您最近一年使用:0次
2022-06-17更新
|
502次组卷
|
2卷引用:浙江省衢州市2021-2022学年高一下学期6月教学质量检测数学试题
6 . 欧拉公式“
”被誉为数学史上最美公式,公式的成立蕴含了复数的三角表示与指数表示:
,其中
,
是以x非负半轴为始边,复数z对应的向量
所在射线为终边的角,比如![](https://staticzujuan.xkw.com/quesimg/Upload/formula/facfc30e6146508572e5df95ef1b8092.png)
.复数指数形式的引入方便了复数的开方运算,比如![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c30c389f57947ab7527ff9229f83560.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de50b12661ac2bf0c62c1a265caf849.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9221e55c83ede306dd4c26a94af8534.png)
,则
的结果可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c027518ad4545ffd06d78ced9851872e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797756321d855a9434ed0b049ced6566.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f48aa30900adc9205a6810d31d92e8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d850c2157b5355cb1c718b4577483cb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/facfc30e6146508572e5df95ef1b8092.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca1924ae8b4bee5c818157f9c930879d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c30c389f57947ab7527ff9229f83560.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de50b12661ac2bf0c62c1a265caf849.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9221e55c83ede306dd4c26a94af8534.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/590bd044eed840a96b6ee9da967b5f37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58f3d968e117fffa07a441798da9a99c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
7 . 已知
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ecda591166ac8adf6b68b2cb5eda745.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/463f4d89f511f14557ff6bf5e62eb346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1292d729b44dd285370df8b0d4ca4f83.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-05-13更新
|
627次组卷
|
2卷引用:浙江省“新高考名校联盟”2021-2022学年高一下学期5月检测数学试题
名校
解题方法
8 . 已知
分别为
三个内角
的对边,且
.
(1)求
;
(2)若
,
的外心为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.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/f318c781128f9be35a3dea89fa33096e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8120119749d4bc28067e73fca7d46cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7d73cf88f1d65d4cf04d2953ebc230.png)
您最近一年使用:0次
名校
解题方法
9 . 在
中,内角
,
,
所对的边分别为
,
,
,已知
,
,且
,则有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a72335ff513c24f55115bd073ab7c9a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67a74596e3aad643265bfeb5a87a1c8b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-05-02更新
|
1016次组卷
|
9卷引用:浙江省温州市知临教育集团2021-2022学年高一下学期期中数学试题
浙江省温州市知临教育集团2021-2022学年高一下学期期中数学试题重庆市第一中学校2021-2022学年高一下学期期中数学试题重庆外国语学校(即四川外国语大学附属外国语学校)2021-2022学年高一下学期6月月考数学试题福建省南安市柳城中学2021-2022学年高一下学期期中考试数学试题重庆市万州第二高级中学2022-2023学年高二上学期开学考试数学试题河北省唐山市滦南县第二高级中学2023届高三上学期期末数学试题山东省枣庄市滕州市第一中学2022-2023学年高一下学期6月月考数学试题重庆市荣昌中学校2022-2023学年高二上学期第一次月考数学试题重庆市永川中学校2023-2024学年高一下学期6月月考数学试题
10 . 请先阅读下列材料;在作战中,有经验的步兵往往能通过“跳眼法”估测物体和自己的距离.具体过程如下:第一步,向正前方伸直左手手臂,竖起拇指;第二步,将右眼闭上,靠左眼观察目标,伸直并端平并移动(可以把左眼到左手拇指的距离看成手臂长),使得目标恰好位于拇指左侧边缘处;第三步,伸出的手臂保持不动,闭上左眼,靠右眼观察,大体估计从左手拇指左侧看到的另一物体与目标的距离;最后即可根据该距离以及你手臂长度、两眼间距来计算你到目标的距离.一般自动步枪有效射程为400
,现一人需用自动步枪射击目标P,先采用“跳眼法”预测自己与目标P的距离,此人手臂长60
,双眼间距6
,面朝正北方向,测量时与上述第一步第二步完全相同,第三步用右眼观察时,拇指左侧恰好对准的是参照物Q,参照物Q在目标P的北偏西
,且与目标P的距离为133.2
,(如图所示)
![](https://img.xkw.com/dksih/QBM/2022/4/24/2964980874887168/2970554110435328/STEM/82c747cb-7726-4a19-a5fd-ec3c2bd798ec.png?resizew=177)
(1)求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51386d00d5a6ea4ff3670138d459200d.png)
(2)若此人在A处开枪射击,请问目标P是否在射程范围内?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://img.xkw.com/dksih/QBM/2022/4/24/2964980874887168/2970554110435328/STEM/82c747cb-7726-4a19-a5fd-ec3c2bd798ec.png?resizew=177)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51386d00d5a6ea4ff3670138d459200d.png)
(2)若此人在A处开枪射击,请问目标P是否在射程范围内?请说明理由.
您最近一年使用:0次