名校
1 . 已知平面向量
,
,其中
,若
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e1fc13b5a6d2188c0d3aab48ca5d3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99134f7005b293e2d3b4b9f0357fe609.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be362dec96173f246ff747264007817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f7d08d10754ff3903d139768f40530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 已知
的三个内角
所对的边分别为
,且
,则
的最小值为__________ .
![](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/3b9bb31790e1647bee4e4ef8e90a8e4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32f2d4d1d2c16c54b2caef17840bfcb.png)
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3 . 在
中,角
的对边分别为
,已知
,则
的面积为( )
![](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/0ecd7ae207b671c34993231d1718ab74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知钝角
的面积为
,则
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3e2d62c9da96d2c059683f92114365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/350a8ad21109ac0a2f3c814b31cf0e2f.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() |
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解题方法
5 . 已知
,
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beea6fb7638645e13fe701fcf798fffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/277768711f93765872891e6a4c3691ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6afb7357eb79698aaed9d093228ef27.png)
A.3 | B.4 | C.5 | D.6 |
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2024-06-03更新
|
2291次组卷
|
4卷引用:江西省南昌市豫章中学2024届高三下学期5月模拟(三模)数学试题(B卷)
名校
6 . 已知公差不为0的等差数列
满足
,且
.
(1)求
的通项公式;
(2)记
是数列
的前
项和,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e186f59e4c84ac1600f710c5c0150f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bea4144ba9435a99f0a71a0d526e5517.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13b0d771b3cfd3be92c629d10e90c8e.png)
您最近一年使用:0次
2024-06-03更新
|
377次组卷
|
2卷引用:江西省南昌市第十中学2023-2024学年高三下学期“三模”考试数学试题
名校
解题方法
7 . 正方形螺旋线是由多个不同大小的正方形旋转而成的美丽图案,如图,已知第1个正方形
的边长为
,且
,依次类推,下一个正方形的顶点恰好在上一个正方形对应边的
分点处,记第1个正方形的面积为
,第
个正方形的面积为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/652968337da557408ac333af22f023cc.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6453c89d53337176cabd55d840fe7400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bf7a9ff5915f80eb1681655186f88c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/652968337da557408ac333af22f023cc.png)
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2024-06-03更新
|
148次组卷
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2卷引用:江西省南昌市第十中学2023-2024学年高三下学期“三模”考试数学试题
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解题方法
8 . 在
中,内角
所对的边分别为
,
是
的中点,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c85a51a5614f436d0ca75a0ac7b877c.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/76f0649064a085fb74c997fb507a9b6d.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/eb498a2ccf4aa58356cde3129a885a6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c85a51a5614f436d0ca75a0ac7b877c.png)
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解题方法
9 . 已知
是数列
的前
项和,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ac2855a6ca83cb72312408ed091f41c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2693734765399876e9e93cdb110231c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780019495df34d40fff9d8f31bbf3e74.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-01更新
|
484次组卷
|
2卷引用:江西省景德镇市2024届高三第三次质检数学试题
名校
解题方法
10 . 在
中,角A,B,C的对边分别为a,b,c.若
,则A的大小可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34206afb7d7a0e23fbc1aa6d1c0789a2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-05-29更新
|
439次组卷
|
2卷引用:江西省南昌市第十九中学2023-2024学年高一下学期5月期中考试数学试题