名校
1 . 如图1,在等腰梯形
中,
,且
为
的中点,沿
将
翻折,使得点
到达
的位置,构成三棱锥
(如图2),则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee8ef58be8708144272538ee427fb92c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c30955b24e40384ab973b8fd6c5aeca8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb4c6e9a723aa843e6ba62d7c1a3a6c.png)
A.在翻折过程中,![]() ![]() |
B.在翻折过程中,二面角![]() |
C.当三棱锥![]() ![]() ![]() ![]() |
D.点![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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2024-04-13更新
|
871次组卷
|
4卷引用:吉林省吉林地区普通高中2024届高三第三次模拟考试数学试题
吉林省吉林地区普通高中2024届高三第三次模拟考试数学试题(已下线)压轴题04立体几何压轴题10题型汇总-2安徽省六安第一中学2024届高三下学期质量检测(三 )数学试卷安徽省六安第一中学2024届高三下学期三模数学试题
名校
2 . 若数列
满足
,
,
,则称数列
为斐波那契数列,又称黄金分割数列.在现代物理,准晶体结构,化学等领域,斐波那契数列都有直接的应用.则下列结论成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f966272f7781790ff27e40db6b525253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd663fcc77ee1fd9268db3bc5734a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
3 . 海水受日月的引力,在一定的时候发生涨落的现象叫潮.一般地,早潮叫潮,晚潮叫汐.在通常情况下,船在涨潮时驶进航道,靠近码头;卸货后,在落潮时返回海洋.已知某港口水深
(单位:
)与时间
(单位:
)从
时的关系可近似地用函数
来表示,函数
的图象如图所示,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/16/a5277d8f-4c21-45c5-a889-05290b673f9c.png?resizew=207)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e185b692db47bcd945aa6e49ec48e249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933311c0c090e1138e4dd388b7adf8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/136a11abcbdd648dc8e89fec1cac3253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbe601394cbbce633fab7131738e5a3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e185b692db47bcd945aa6e49ec48e249.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/16/a5277d8f-4c21-45c5-a889-05290b673f9c.png?resizew=207)
A.![]() |
B.函数![]() ![]() |
C.当![]() ![]() |
D.已知函数![]() ![]() ![]() ![]() ![]() ![]() |
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4 . 已知平面向量
,
,
,
,
,
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6f0e7ff267afa658677cdbb74742883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/343bd7a03ef697056d9c5f402d87d9ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd4ab9fb08e3ffee484eab9992786ba9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e683d606120717ea193d36a082b8d20f.png)
A.![]() ![]() ![]() |
B.![]() |
C.![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次
5 . 已知函数
其中
,给出下列四个结论:
甲:
有两个不等实根
乙:
有一个极小值是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
丙:
的所有零点的积为0
的所有零点的和为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/453858ec430eb0c5443a1282ac33cdbe.png)
若上述结论有且只有一个是错误的,则上述结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97be9f16ede04d99831bcdc65f348622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360ff131c51a4ef6745538c18cec92c2.png)
甲:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28638f8c054a7bb4d9b46fde330bc76f.png)
乙:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
丙:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b91c2dd1a77d8f18c28efa23fd9e6dc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/453858ec430eb0c5443a1282ac33cdbe.png)
若上述结论有且只有一个是错误的,则上述结论正确的是( )
A.甲 | B.乙 | C.丙 | D.丁 |
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2023-05-14更新
|
242次组卷
|
2卷引用:吉林省吉林市2023届高三第四次调研考试数学试题
6 . 祖暅是我国南北朝时期数学家,天文学家,他提出了体积计算原理:“幂势既同,则积不容异.”这就是祖暅原理,比西方发现早一千一百多年.即:夹在两个平行平面之间的两几何体,被平行于这两个平面的任意平面所截,如果截得的两个截面的面积总相等,那么这两个几何体的体积相等.如图,曲线C:,过点
作曲线C的切线l(l的斜率不为0),将曲线C、直线l、直线y=1及x轴所围成的阴影部分绕y轴旋转一周所得的几何体记为
,过点
作
的水平截面,所得截面面积为S,利用祖暅原理,可得出
的体积为V,则( )
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
7 . 设定义在R上的可导函数
与
导函数分别为
和
,若
,
与
均为偶函数,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22add663bd26e87d972a10dc5fd9ada1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cdc3256313ff11fc30aba5dac909a89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e81e15b871dd32b2438ef8025bcc42d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
8 . 如图,在扇形OPQ中,半径
,圆心角
,C是扇形弧PQ上的动点,矩形
内接于扇形,记
.则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9934cf2feb65b00392ba39d8242e47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98cdc1204d3b8b3f5bea86ee5dd41744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f891d3293f4d016dc384b5ff6ebcb87.png)
A.弧PQ的长为![]() |
B.扇形OPQ的面积为![]() |
C.当![]() ![]() ![]() |
D.矩形![]() ![]() |
您最近一年使用:0次
2023-03-24更新
|
1458次组卷
|
6卷引用:吉林省吉林市2022-2023学年高一上学期期末数学试题
名校
9 . 如图,函数
的图象称为牛顿三叉戟曲线,函数
满足
有3个零点
,
,
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e784d16a27655cc9f2d07ff436cc2bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb619c455e5e27b81450c4cd9f8008da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-02-19更新
|
594次组卷
|
3卷引用:吉林省吉林市普通中学2022-2023学年高三第二次调研测试数学试题
10 . 如图,正四棱柱
中,
,动点P满足
,且
.则下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/23/91358be4-8c7e-41f9-9815-c2b155cacc3c.png?resizew=137)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9854e6c3518ae641e0457136fd78822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bebfe901b5813f5cb1645f61eb6eeb4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a871156caa5d7222c7944afecf5f9ea1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c212d62534a869dfa2be0544f520890.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/23/91358be4-8c7e-41f9-9815-c2b155cacc3c.png?resizew=137)
A.当![]() ![]() ![]() |
B.当![]() ![]() ![]() |
C.若直线![]() ![]() ![]() ![]() |
D.当![]() ![]() ![]() |
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