1 . 设集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/738a7c89b55b5c5aed4f31b5ce834134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45b40d8dd0aec53090a5b73fca9ad54b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 已知抛物线C:
的焦点为F,点
,N是抛物线C上一点,当
取得最小值时,
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0261104a7c308433a0c0508ff20ea29a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356547c08d2cd7ba5a6aaf412266d7b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a1622b71bf051bfd14c79b2c75eca58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a33181b27b10690b4913595f8c1f46e.png)
A.7 | B.5 | C.![]() | D.![]() |
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解题方法
3 . 已知等比数列
有
项,
,所有奇数项的和为85,所有偶数项的和为42,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2def5aa62f497709e1bd8258583d62fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
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4 . 已知在数列
中,
,前
项和
.
(1)求
、
;
(2)求数列
的通项公式;
(3)设数列
的前
项和为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3c010cb8d0922083fb27442d09f15cb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(3)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7b78e4a03d4595f14be42054b61dfc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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解题方法
5 . 已知随机变量
的分布列如表:
若
,离散型随机变量
满足
,求:
(1)
的值;
(2)
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![]() | 0 | 1 | 2 |
![]() | 0.4 | ![]() | ![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8441349d50ccee714d5d7f796a12f028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af87266d442c1a981bf9b1b3f0bac2c0.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1cb238aef93ba4dff76b8c56ac092c.png)
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解题方法
6 . 已知数列
为等差数列,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0382b4a2ab0657d2d6830bb6be2b17b6.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67bb9405b5d575f38602e4036ef6f87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9f1f763c066c916bae475f51e63026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0382b4a2ab0657d2d6830bb6be2b17b6.png)
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名校
7 . 已知函数
的最小正周期为
,则
图象的一个对称中心的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438672e450b410391d1b5a53e82d8c9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-06-17更新
|
441次组卷
|
4卷引用:内蒙古自治区兴安盟2023-2024学年高二下学期学业水平质量检测数学试题
内蒙古自治区兴安盟2023-2024学年高二下学期学业水平质量检测数学试题湖南省岳阳县第一中学、汨罗市第一中学2023-2024学年高一下学期五月联考数学试题辽宁省抚顺市六校协作体2023-2024学年高一下学期5月联考数学试卷(已下线)专题02 三角函数的图象与性质常考题型归类-期末考点大串讲(人教B版2019必修第三册)
8 . 设函数
的图象关于原点对称,且相邻对称轴之间的距离为
则函数
的单调增区间为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb57b67b60a610525e508d04fb7423e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20e3c308097638963f78a85e6f0db299.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1f0bdf14961884c43075f449b9a0f6f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 已知复数
,其中
,
是虚数单位.
(1)若
,求
与
的值.
(2)设复数
在复平面上对应向量分别为
,若
且
,求
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1420b03848698758025889719615a4d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cefc726333eac41456b3a2e0f61a9e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579743813856e2a9183f5ec6eaaefbb2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b196d2aa5d75732abd06e07ec69e65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)设复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d860cb86e1467ac24010aecfc7a425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a5cdedb6f4384fda29fb4508ba6fcc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcbf8cf890e1bab18f37152ef5da7dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9a49389cacef6b5b8c536eb8c51d087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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10 . 若函数
有
个零点,则正数
的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6944834eab309975c67bb655e3ba4df6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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