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1 . 对于任意的平面向量
,下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2309417047169d8a9f1e6bf42964be7.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.![]() |
D.![]() ![]() ![]() |
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3卷引用:辽宁省大连市第八中学2023-2024学年高一下学期6月阶段测试数学试题
辽宁省大连市第八中学2023-2024学年高一下学期6月阶段测试数学试题云南省昆明市第一中学2023-2024学年高一下学期期中考试数学试卷(已下线)必考考点1 平面向量的运算 专题讲解(高一期末考试必考的10大核心考点 )
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2 . 已知复数
,下列叙述中错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be94c746ea0cb4834e5295672e229a4.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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3卷引用:辽宁省大连市第八中学2023-2024学年高一下学期6月阶段测试数学试题
辽宁省大连市第八中学2023-2024学年高一下学期6月阶段测试数学试题安徽省县中联盟(江南十校)2023-2024学年高一下学期5月月考数学试题(已下线)专题06 复数-期末考点大串讲(人教B版2019必修第四册)
解题方法
3 . 已知函数
.
(1)若
,,求函数
解析式;
(2)已知
,函数
图象向右平移
个
单位,得到函数
的图象,
是
的一个零点,若函数
在
(
且
)上恰好有10个零点,求
的最小值;
(3)已知函数
,在第(2)问条件下,若对任意
,存在
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ab71ec0fd3d719b7ff7206bed7d504b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c4020b17f7ad2d5f179b3f6b01898e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2091dc47caec0c6734eb058375d8a294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e8d6f968dd1b47482f1808f2c53c15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9895bf4192f5c55c16f8270d53c49b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d26927f1f0be044942dfce30c3607158.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7961cbe98aac6a5fdee94582c341b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa8de7d589969f21c7693508cfca0c46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e538686939002a2ba06670615144c73d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83caece05b586ec9e2d6f1ec69449550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b56a0bc723618e7cdac994882c807bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4 . 关于平面向量,有下列四个命题,其中说法错误的是( )
A.点![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若向量![]() ![]() ![]() ![]() ![]() |
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5 . 数列
中前
项和
满足
,若
是递增数列,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.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/dfa7f0424b3077519d9aa08e279341dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 校园里有个如图的半径为4,圆心角为
的扇形花坛
,P是圆弧
上一点(不包括A,B),点M,N分别在半径
,
上.为美化校园,分别在四边形
,
和
种植红色,黄色的牡丹花,其余地方种植绿草点缀.
为矩形,求其面积最大值;
(2)若种植黄色牡丹的
和
均为直角三角形,求它们面积之和的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a77343ecde1c2665df291761b6563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b16c49d16305cf1afacc5a9e2bf7e9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a163fbf4333651741cec447995092a19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35a9ec7088381262f8ca327bd377660.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b16c49d16305cf1afacc5a9e2bf7e9a.png)
(2)若种植黄色牡丹的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a163fbf4333651741cec447995092a19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35a9ec7088381262f8ca327bd377660.png)
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解题方法
7 . 函数
的定义域为
,
为奇函数,且
为偶函数,当
时,
.
①A,B是锐角
的内角,
;
②
;
③
;
④
.
其中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/105068fe440b555880e9c566e6fd3f5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d7661d3fc28f785b438ad8c8f9d240a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb4e9ed540a4aff2db2f887b81e0b982.png)
①A,B是锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a673984ab88416f50a8496242427cdbe.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f227bbeda10306a74beb7cb2e5df2d.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45691cfa763ee20fcfc741fcdb74d8f4.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/220b656c067ac8a548f1f7926c80dd38.png)
其中正确的有( )
A.②③④ | B.①② | C.①②④ | D.①②③ |
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8 . 下列命题中,正确的命题是( )
A.若随机事件A,B满足:![]() |
B.随机变量![]() ![]() ![]() |
C.若相关系数r的绝对值越大,则两个变量的线性相关性越强 |
D.对具有线性相关关系的变量x,y,其线性回归方程为![]() ![]() ![]() |
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3卷引用:辽宁省大连育明高级中学2023-2024学年高二下学期期中考试数学试卷
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解题方法
9 . 设等比数列
的前
项和为
,已知
,
,则
( )
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/765e8e086f97e8d60c1489060fa06cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb7147e313f9d9f67d19ecb5f499c05.png)
A.9 | B.12 | C.27 | D.48 |
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10 . 在等差数列
中,
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f657d39c6ca02f641b0e84b2ae684a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c4740129f15112fd1d0b838f61e9b2.png)
A.1 | B.2 | C.3 | D.4 |
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