名校
解题方法
1 . 设平面内共起点的向量
的终点分别为
,且满足
,记
与
的夹角为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46fddc1f1c50aab4de7fff286d691b97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d12593b86f4965fb5b285ff88f6d435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
A.![]() |
B.![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() ![]() |
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名校
2 . 已知复数
的实部分别为
,虚部分别为
,其中
.
(1)求
的取值范围;
(2)
能否为纯虚数,若能,求
;若不能,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d860cb86e1467ac24010aecfc7a425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94794614e69f70a5a1daccbe0f25d09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92923558626742c01a5c00f5e78673b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88d1585d08f854e80e8172dd968cd21f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8b3f66119c2ce542984d12eb2b6b77.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da4e6752d8c8a0705194f2b2f16ab5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec04f844e8fd9d9b1ef835e23eaa54e2.png)
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名校
解题方法
3 . 已知函数
在
上单调递减,且在
中满足
,则下列情况中,能唯一确定该三角形形状的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68123dcb8d39b1a108d6c41c29e14083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd50020c0e3198d4a6b2d26a413b1b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfcc1eb1326895662d5b26a513bf4234.png)
A.角![]() | B.角![]() |
C.![]() | D.![]() |
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名校
解题方法
4 . 平面内互不重合的点
、
、
、
、
、
、
,若
,其中
,2,3,4,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b56e44e4f0424a2b7a45567120a2e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2857fac4963b129d99e79dcb3e13d295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a821e643d5fae24caed0faa6d423dad6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ae2c84ddd51f10d399401cbf91a1217.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c45176df950dfe48b8ca7eac08ee349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d2f8b944ab6d21b77a1f52a0530654.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-02-27更新
|
458次组卷
|
3卷引用:广东省河源市河源中学2023-2024学年高一下学期第一次教学质量检测数学试题
解题方法
5 . 《测圆海镜》是金元时期李治所著中国古代数学著作,是中国古代论述容圆的一部专著,如第2卷第8题的“弦外容圆”问题是一个勾股形(直角三角形)外与弦相切的旁切圆问题,已知在
中
,
,
,点
在第一象限,直线
的方程为
,圆
与
延长线、
延长线及线段
都相切,则圆
的标准方程为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40630a669f4eedf626bc24851df10c85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852b303689c31189cd47bb4a3220f9fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/091c83390d0755e1b72755cf37490351.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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2024-02-14更新
|
126次组卷
|
2卷引用:广东省河源市2023-2024学年高二上学期期末考试数学试题
6 . 已知直线
,抛物线
与抛物线
的焦点分别为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b23507c7c6be4a4fa88317bdccc75c7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4931ada8e765288f878a0dac700e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69aa41048cc497093488b732d509c2f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
A.存在![]() ![]() ![]() ![]() |
B.存在![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() ![]() ![]() |
D.![]() ![]() ![]() |
您最近一年使用:0次
2024-02-14更新
|
90次组卷
|
2卷引用:广东省河源市2023-2024学年高二上学期期末考试数学试题
7 . 在高层建筑中,为了优化建筑结构,减少风荷载影响,设计师可能会将建筑设计成底面楼层高度比较高,随着楼层往上逐步按照等比数列递减的“金字塔”形状,已知某高层建筑共10层,第2层高度为
,第
层高度记为
,
是公比为
的等比数列,若第
层高度小于
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fc48ba42c557fcece260522b3c10952.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80664ade8b4f3c97f8ca354dae9030b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e17ee14bd91bfff409c06fd434f6745.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.6 | B.5 | C.4 | D.3 |
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