1 . 在
中,
.
(1)求角
的大小;
(2)再从条件①、条件②、条件③这三个条件中选择两个作为己知,使得
存在且唯一确定,求
的面积.
条件①:
;条件②:
;条件③:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0326bdd06bc1bb8de4a1602a9a407fa9.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)再从条件①、条件②、条件③这三个条件中选择两个作为己知,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f34365e5040ce6944115c8da61bf110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2be103fd3ce46a6b6f271e60523597c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e8f6c4a69758aaee7ac4c53d2b947b3.png)
您最近一年使用:0次
名校
2 . 已知关于
的函数
,其中
.
(1)若不等式
的解集是
,求
的值;
(2)当
且
时,解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3de5f87b3d136b15866b1fe9ccff3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73254f32b6da29ecc32df2e9f87a4c97.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea7b4b6431e5ffd783ea295c875ca895.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
您最近一年使用:0次
名校
3 . 二次函数
,且
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/136a3dff9409f6a0004724b3878e2d97.png)
(1)求函数
的解析式;
(2)若关于
的方程
在
上有解,求实数
的取值范围;
(3)当
时,求函数
的最小值
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d5e308cd5469e0f28a8d75f79903f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17ee5f43412795671704ab0e8d0b2f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/136a3dff9409f6a0004724b3878e2d97.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b4874cf36b6082ba4d539ff3ee69a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa66623cf54b42d6d12be4c8edaa7071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58a6317c2c5e8dbf0c97ab16a5a900f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a82a1224e47f31ecdfffd328d5a3ab6d.png)
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2023-11-06更新
|
266次组卷
|
2卷引用:北京市昌平区北京师范大学昌平附属学校2023-2024学年高一上学期期中数学试题
名校
解题方法
4 . 某农场要安装一个可使用
年的太阳能供电设备。使用这种供电设备后,该农场每年消耗的电费
(单位:万元)与太阳能电池板面积
(单位:平方米)之间的函数关系为
(
为常数)。已知太阳能电池板面积为
平方米时,每年消耗的电费为
万元,安装这种供电设备的工本费为
(单位:万元),记
为该农场安装这种太阳能供电设备的工本费与该农场
年消耗的电费之和。
(1)求出
的解析式;
(2)当
为多少平方米时,
取得最小值?最小值是多少万元?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd4124b2f9fca4c4a6328d555f759ee9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6e94f889e8de4ef5f9d0e32dd47487.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
(1)求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28cb2626d688ceed68b90b038da4bd9f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
您最近一年使用:0次
5 . 在
中,
.
(1)求
;
(2)再从条件①、条件②这两个条件中选择一个作为已知,求
的面积.
条件①:
;
条件②:
.
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/f7a198bbbfb23c8c12d91db71ca3e4b9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)再从条件①、条件②这两个条件中选择一个作为已知,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d23b9cf56fd0f72c5b3450280cf2556.png)
条件②:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/526d1c1f892971b9398ba764356dec3d.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
2023-07-16更新
|
399次组卷
|
3卷引用:北京市昌平区2022-2023学年高一下学期期末质量抽测数学试题
北京市昌平区2022-2023学年高一下学期期末质量抽测数学试题(已下线)专题04 正余弦定理4种常考题型归类-《期末真题分类汇编》(北京专用)【北京专用】专题09解三角形(第二部分)-高一下学期名校期末好题汇编
6 . 在
中,
.
(1)求
;
(2)若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f048e24752d417ffbc56987ea3849fe7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db9be4e2ba8d5436c9e1d70a34e237a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2023-05-07更新
|
1367次组卷
|
6卷引用:北京市昌平区2023届高三二模数学试题
北京市昌平区2023届高三二模数学试题北京卷专题08解三角形(解答题)2023届北京市海淀区教师进修学校附属实验学校高考三模数学试题(已下线)专题1 平面向量(3)(已下线)专题2 平面向量(2)(已下线)模块一 专题3 解三角形(苏教版)
名校
解题方法
7 . 在
中,
.
(1)求角
的大小;
(2)再从条件①、条件②、条件③、条件④这四个条件中选择两个作为已知,使
存在且唯一,求
的面积.
条件①:
;
条件②:
;
条件③:
;
条件④:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69012a36c38163565a2d1ee18f2c68d1.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)再从条件①、条件②、条件③、条件④这四个条件中选择两个作为已知,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b02dc8cc9d3986ef3cfacfcf292c0b3.png)
条件②:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f71211e891243960e8620d78ce78e1e.png)
条件③:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c3f0fb64c543023a982f9d8665375a8.png)
条件④:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe527d4ab0abe1e8a337d404b54cc5b.png)
您最近一年使用:0次
2022-12-05更新
|
323次组卷
|
2卷引用:北京市昌平区前锋学校2024届高三上学期10月月考数学试题
8 . 在
中,已知
,
.
(1)求
的大小;
(2)设线段
的中点为
,再从条件①、条件②、条件③这三个条件中选择一个作为已知,使
存在且唯一确定,求线段
的长.
条件①:
;条件②:
;条件③:
的周长为
.注:如果选择的条件不符合要求,则第(2)问得0分;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/b4c352d7fc2c86510d89853bc38aa6ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7ceeb39b6e8413ad7ded775715d6b3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
(2)设线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c110b00630b77f91e52a72853c97f24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18af922d7bcd7a1bfbd89398d86eda5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab46ea0cba2d06283fae3d864a2329e0.png)
您最近一年使用:0次
9 . 求下列不等式的解集.
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44abc4323b97e777f8775b411b13fe67.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c46ad2eecbb1b0c386cd96e2b72898d.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69d155a0cdf159f1513d60b725fed6eb.png)
(4)
(
为常数)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44abc4323b97e777f8775b411b13fe67.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c46ad2eecbb1b0c386cd96e2b72898d.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69d155a0cdf159f1513d60b725fed6eb.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a5eb8453798b4159df7f7d8dbdecb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4887473a8091e1ef53a169cc9f211e3a.png)
您最近一年使用:0次
10 . 在锐角
中,
的对边分别为
,
,
,且
.
(1)求
;
(2)若
,______.求
.
从①
,②
这两个条件中任选一个,补充在上面问题中并作答.
![](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/454f890a9f7a27892ddbe6dbfa48e0a1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e15cbd7c42d7b15d7ba8d2b28ab8df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
从①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab1c19b66cda3fb899f06d9a25e973c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df97e7e9cb10fc90403b41e80e1c460.png)
您最近一年使用:0次