名校
解题方法
1 . 如图,
的内角
的对边分别为
,已知
,
为线段
上一点,且
.
;
(2)若
,求
面积的最大值;
(3)若
,求
.
![](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/89889ba8a8175b5c4ceec37465193418.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff400c098ae6bf6abd24651a5a21114e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d783fe7f3ce673d5d21281174e7a7968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5321ef782f50670b895f93bf08b61b98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4600275dda575e545cab0145d9480d.png)
您最近一年使用:0次
2 . 如图所示,圆内接四边形
中,
,
为圆周上一动点,
.
(2)若
,求AC的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c63bfe8427f7e8239bb3b11bd660f9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df793f5dac174bc71bd1e82bbf5732b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b390d05e64fcf668472db4c1c51a1bf.png)
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解题方法
3 . 已知
分别为锐角三角形
三个内角
的对边,且
.
(1)求
;
(2)若
,
为
的中点,求中线
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05c976d105c27de505f83e7e40da698b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d3ac959ebcb005ec9ebaff52f4ac70b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
名校
解题方法
4 . 已知
,
,
分别为
三个内角
,
,
的对边,且
.
(1)求角
的大小;
(2)若
,
,求
的面积.
![](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/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/937594aeca6ecbbb2800fb6e150e7525.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/680f5d2533547bd9302a8caf496f4b88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
7日内更新
|
686次组卷
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3卷引用:湖北省黄冈市浠水县第一中学2023-2024学年高一下学期期末质量检测数学试题
湖北省黄冈市浠水县第一中学2023-2024学年高一下学期期末质量检测数学试题安徽省阜阳市太和中学2023-2024学年高一下学期期中教学质量检测数学试题(已下线)【高一模块二】类型2 以解三角形为背景的解答题(A卷基础卷)
名校
5 . 已知向量
,且函数
在
时的最大值为
.
(1)求常数
的值;
(2)当
时,求函数
的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/459d921b08df469e314020aba6c4523d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdebb94db5f8754ccf12ca9999be1b26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47cfe4e08c06bde245e58aa22485044c.png)
(1)求常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27794407a3d82a6746f7e0871051f486.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
7日内更新
|
389次组卷
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2卷引用:湖北省云学名校新高考联盟2023-2024学年高一下学期5月联考数学试题
6 . 已知函数
的最小正周期为
.
(1)求
的解析式;
(2)求
在
上的单调增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bc98f75d0c299c3de4acc6f2302aa5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c195698ac387fe53b3b1e0248a1fcc92.png)
您最近一年使用:0次
7 . 如图,为了测量两山顶
间的距离,
四点在同一铅锤平面内,飞机沿水平方向在
两点进行测量,途中在点
测得
,在点
测得
,测得
.
和点
之间的距离;
(2)求两山顶
间的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ea2c16ef76fc4a94fd96cd2235f2738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35615a66efc683ffff95b67e9ebbcbf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e322e85c644d721b4082b9894fd80d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac9bee47fa0dcd86158c9f18547725c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb27f71b7236edb4924864a535d4204.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)求两山顶
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
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8 . 如图,设
是平面内相交成
的两条射线,
分别为
同向的单位向量,定义平面坐标系
为
仿射坐标系,在
仿射坐标系中,若
,则记
.
仿射坐标系中
①若
,求
;
②若
,且
与
的夹角为
,求
;
(2)如上图所示,在
仿射坐标系中,B,C分别在
轴,
轴正半轴上,
分别为BD,BC中点,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46c092d69df76faf1e2133dc96b466ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a998a7d4d980e848ee050b706480ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad59ee7969f2a082ed53bdf0aaa748ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46c092d69df76faf1e2133dc96b466ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4446f654cf8401b640cc79c2b97af5db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4446f654cf8401b640cc79c2b97af5db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3def4278aef3c2c3aa64386584e5df65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1826aa6f667b181d7aabc06e35365308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4446f654cf8401b640cc79c2b97af5db.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b1fc6efbb1fe3d949bf100925cdf34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5455bdb43226a925e13da2df0f233be6.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c5b0bb8bf0236fde97d668f40fd404a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d66c03d4ca06819a6ce7fc8ea6de0f0.png)
(2)如上图所示,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/479feca6887a5b30b7142c665cc61e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03da507737fe5b3211dc2953d6c971c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a462f4899d41997a8ce2df63d0056e4d.png)
您最近一年使用:0次
名校
解题方法
9 . 已知
的内角
的对边分别为
,面积为
,且
.
(1)若
,求
;
(2)若
,求
.
![](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/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0ddf7d0f9cd0e7f2f45c299edcb2e44.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98219621d04b3636d8bf66cafbc25a4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5201fc26d013f6fb889933c0e32f5c53.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3521cd30f0a44ebfd0b15153773312b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
名校
解题方法
10 . 现定义“
维形态复数
”:
,其中
为虚数单位,
,
.
(1)当
时,证明:“2维形态复数”与“1维形态复数”之间存在平方关系;
(2)若“2维形态复数”与“3维形态复数”相等,求
的值;
(3)若正整数
,
,满足
,
,证明:存在有理数
,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9dc4e868a310c371ff88075d8a966a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef9d830212489b316bb052455098108e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc8299790d98621b87e73212a2ebb91.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/905dd10639c9fef5ef8d66a124756140.png)
(2)若“2维形态复数”与“3维形态复数”相等,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c136aaf9b5dedec254a92ce302f4a70c.png)
(3)若正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94742ebbb028c50d7a58e3e8f4ab329c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35490c12e57ecd91af9934cb17b5c927.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ed110fbfeb14003270a1039ba174d0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f02f2606180ffeda602ff9ae747af6f.png)
您最近一年使用:0次
2024-05-11更新
|
576次组卷
|
3卷引用:湖北省黄冈市浠水县第一中学2023-2024学年高一下学期期末质量检测数学试题