2023高三·全国·专题练习
解题方法
1 . 已知
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/694778ef800750095f750d1ca798814e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcae870077ceb017dac3423b7b53c7ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5479187a07b26f83eb12ea30e1e7ab16.png)
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2 . 已知
,且
,
,
是
在
内的三个不同零点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf7d96b504168aca15b92cda8222ba5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f64fa38725c136504f723019a18dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e93fa313adc4ac7608ba9449fd755212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e8d4017e1a37acb0c8e00508be472b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5224a7da7fe6bc28971ce4c277f88588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-05-11更新
|
1784次组卷
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5卷引用:压轴小题13 解决一类三角恒等变换问题
(已下线)压轴小题13 解决一类三角恒等变换问题广东省广州市执信中学2024届高三上学期大湾区数学冲刺卷(一)2024届高三新改革适应性模拟测试数学试卷二(九省联考题型)(已下线)第10章 三角恒等变换 单元综合测试(难点)-《重难点题型·高分突破》(苏教版2019必修第二册)江苏省淮安市淮阴中学2022-2023学年高一下学期期中数学试题
解题方法
3 . 已知
是边长为4的正三角形,
分别为
边上的一点(不含端点),现将
折起,记二面角
的平面角为
,若
,则四棱锥
体积的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e58e08ee0b2580a62cf20f709b5e90df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d0469336f71edd52dc9148c67db052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff89a768c80c8200e6050dd052ae9fd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3416881a6f67d05fe6b67787047fc86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048259b64cf454135f2f628cd0f9b3d9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 记
的内角A,B,C的对边分别为a,b,c,已知
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
___________ ;若
为锐角三角形,则
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddd96f60aa7619a80486b98e255cf3e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347f1001c7ef728ec091358493d3cb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1710ea041cbbf5df7e8ae5b31d9951c3.png)
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2022-09-22更新
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2576次组卷
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4卷引用:【讲】专题1 三角恒等变换问题(压轴小题)
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5 . 已知向量
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31f58e1a076ff63b3d88974781edac7.png)
,且
,
,其中
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c39a715d1b3a985c20aa399f4394514.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31f58e1a076ff63b3d88974781edac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7253dfe76f7ed7c33921776bb0e001.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f32595de21ddf175783168ce26d629d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5732b7447972dda107bf1a525aca5ac2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edaa8040b9b8e341d7fda88371d91b0a.png)
A.![]() ![]() ![]() | B.![]() |
C.当![]() ![]() | D.![]() ![]() |
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6 . 若数列
满足
,则称数列
为“k阶相消数列”.已知“2阶相消数列”
的通项公式为
,记
,
,
,则当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
___________ 时,
取得最小值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c925173742af19a056499a937c1db67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71531020725584254a1fc8f1e55fccf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/900212a9119d3ea0388504cab074c47a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530c4defbccdf183003db56cc71e9c4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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7 . △
内接于半径为2的圆,三个内角
,
,
的平分线延长后分别交此圆于
,
,
.则
的值为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.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/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5dc69fbf683181f9f2c8205a73dd4b4.png)
![](https://img.xkw.com/dksih/QBM/2021/4/15/2700211155566592/2806747262025728/STEM/be8d76a82ba847a8b8a5edc9dfe8e517.png?resizew=217)
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2021-09-12更新
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4卷引用:专题4-3 正余弦定理与解三角形小题归类2-2022年高考数学毕业班二轮热点题型归纳与变式演练(全国通用)
(已下线)专题4-3 正余弦定理与解三角形小题归类2-2022年高考数学毕业班二轮热点题型归纳与变式演练(全国通用)(已下线)第六章 平面向量及其应用(基础、典型、易错、压轴)分类专项训练(3)福建省仙游第一中学2020-2021学年高一下学期第一次月考数学试题(已下线)第6章 平面向量及其应用(压轴30题专练)-2021-2022学年高一数学考试满分全攻略(人教A版2019必修第二册)
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8 . 已知
,
,则向量
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82c2716c7b756c1c9021e3e8d24e0fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455d79be489ddfe6a2f5a7033b22a864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b0fe4d834e8eaca89ceaf9c64cdabd9.png)
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9 . 设
是两两不同的实数,且满足
,求
所有可能的取值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a14c388e1e2e5a2ff1ccf6caffbee0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b16580ce6cc7b3c2d40e0830e11585b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1433c8103033c67232f2f9ae189608d.png)
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10 . 在
中,
的最大值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7337da7714d1a7cc341038296d8d6b5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2019-09-29更新
|
3837次组卷
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6卷引用:压轴小题13 解决一类三角恒等变换问题