名校
解题方法
1 . 已知
的内角
的对边分别为
,且
,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.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/b414b71d5a872e2e775088cbdf4dd003.png)
A.![]() |
B.若 ![]() ![]() |
C.当![]() ![]() |
D.若 ![]() ![]() ![]() |
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|
1162次组卷
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3卷引用:江西省宜春市樟树中学2024届高三下学期高考数学仿真模拟试卷
名校
解题方法
2 . 在
中,内角
所对的边分别为
,向量
,且
.
(1)求角
的大小;
(2)若
,求
面积的最大值;
(3)求
的值域
![](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/4aa3de73f2b4dde4be1fbd024c2270fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7cb5138a03b19266f82223899a614f7.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd5b9bbd3d22bd2cef53dd4b9691257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ab05b79a8aba3fef6d353103ab09c8.png)
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3 . 已知
.且
,函数
的最小正周期为
.
(1)求函数
的解析式与单调递增区间;
(2)在锐角
中,内角
的对边分别是
,点
在
上,且
平分
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb340a5e9b1aa6b8c9ec9f034e23ad05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf21fef3026cfe445a855c94cab5c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed2d1ecae9c649cc3c89f9ce0c063208.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)在锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf9899f990f4bf09d39c7bd42c5d9bf.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b425bf3f0e9eab16495e161a1655a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
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2卷引用:江西省宜春市宜丰中学2023-2024学年高一下学期6月月考数学试题
名校
4 . 在
中,设角A,B,C所对的边分别为a,b,c.已知
,
的周长为15,面积为
.
(1)求
的外接圆面积;
(2)设D是边AB上一点,在①CD是边AB上的中线;②CD是
的角平分线这两个条件中任选一个,求线段CD的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6d75a838ebbe4ecb373ab5b92222883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81c00f7e3c9b3ca278015e3ec031f102.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)设D是边AB上一点,在①CD是边AB上的中线;②CD是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
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解题方法
5 . 设椭圆C:
的左、右焦点分别为
,
,坐标原点为O.若椭圆C上存在一点P,使得
,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c763113a1fc48e8acc83787b8cd24eec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1f83dcce28248ffe1d99e4b1609bbe.png)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() |
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解题方法
6 . 在
中,内角
所对的边分别为
,且
.
(1)求角
;
(2)射线
绕
点旋转
交线段
于点
,且
,求
的面积的最小值.
![](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/29af2e8da863dc2b2ec210ff0272b4d6.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ff7caec4fdd8fb54a3ffbff9692414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1364213f546b37f8764ddcb59e36ae4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2024-05-16更新
|
1444次组卷
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7卷引用:江西省宜春市宜丰中学创新部2023-2024学年高一下学期6月月考数学试题
名校
解题方法
7 . 已知椭圆
的左、右焦点分别为
,
是
上的两个动点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/219cf5ee39817cd25789e9a687212549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.存在点![]() ![]() |
B.若![]() ![]() ![]() |
C.记![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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8 . 定义函数
的“源向量”为
,非零向量
的“伴随函数”为
,其中
为坐标原点.
的“伴随函数”为
,求
在
的值域;
(2)若函数
的“源向量”为
,且以
为圆心,
为半径的圆内切于正
(顶点
恰好在
轴的正半轴上),求证:
为定值;
(3)在
中,角
的对边分别为
,若函数
的“源向量”为
,且已知
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9153386601e89709ded16e6e56cc86b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e80896903107cb0ec517fedffa3f735.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e80896903107cb0ec517fedffa3f735.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eeb34e5f4dbd027466a86df156fa7c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead0f45df9fc9e5a6a90a048daf15ce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9b0339e96e32d6fa1a092824850ef8d.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd8203f4be92108de03882c38c0e5426.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e723e57753f0a4fe1ef8ca1aee0e2117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40589f60d5b9e76464c084d80fe92c0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeca565ad5dfdba18cf431dd3b84c57e.png)
(3)在
![](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/18c49ca8562b98657ca9c499093f7233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/896785f1902334350af510775d152f98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d76137ec77bd3221aa3842cabebe4910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3941f79eb3ae64e0f735ae45308e5b19.png)
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2024-05-11更新
|
291次组卷
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2卷引用:江西省宜春市宜丰中学2023-2024学年高一下学期6月月考数学试题
名校
解题方法
9 . 已知向量
,函数
,
(1)求不等式
的解集;
(2)若
的内角A,B,C的对边分别为a,b,c,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a885ed7e019f181cbb83ece5006208b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1659f0a03b6c37d87a0ff5e112ee3d2b.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a096785f02d76d93d540bb0837cf2291.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d886884f25c1754505dc7aea5ed1678a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1810555c0c28fe352841322b85bbc6.png)
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2024-05-08更新
|
703次组卷
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3卷引用:江西省宜春市宜丰中学2023-2024学年高一下学期4月期中考试数学试题
名校
解题方法
10 . 记
的内角A,B,C所对的边分别为a,b,c,已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7112e7ccb1eb90facfa5182ea763970a.png)
.
(1)求
的值;
(2)若
外接圆的半径为
,且
为锐角,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7112e7ccb1eb90facfa5182ea763970a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54544eaad28e26ca95fd163222eaed3a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533a7b702ada1dd80123e4041271d521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2024-05-08更新
|
900次组卷
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3卷引用:江西省宜春市第一中学2024届高三下学期高考模拟(二)数学试题
江西省宜春市第一中学2024届高三下学期高考模拟(二)数学试题(已下线)专题06 解三角形综合大题归类(2) -期末考点大串讲(苏教版(2019))江西师范大学附属中学2023-2024学年高一下学期5月数学素养测试卷