名校
1 . 已知函数
的零点分别为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12b4062b2743228b839557811d5cd9ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
2 . 已知
是正项数列
的前
项积,且
,将数列
的第1项,第3项,第7项,…,第
项抽出来,按原顺序组成一个新数列
,令
,数列
的前
项和为
,且不等式
对
恒成立,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.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/0b126acb59207c1478f317fd5e188879.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de777c4e44546bcfe26ad5b6bb418052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5214be4ab4c116b6d8beb768db721cfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df57c4df55b1d63c5bfa330940a351ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.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/380ddfd4e5671a323aae3c7074b233ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b78297a65e7fad69635b19928ecc10.png)
A.数列![]() |
B.![]() |
C.![]() |
D.实数![]() ![]() |
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名校
3 . 设点
(
)是抛物线
上任意一点,过点
作抛物线
的两条切线,分别交抛物线
于点
和点
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14b8e0e181de2dfa47561cc534287eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c16dac1e9bf5804c8907cbc59014d04.png)
A.![]() | B.![]() |
C.![]() | D.直线![]() ![]() |
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解题方法
4 . 如图,在棱长为4的正方体
中,
为棱
的中点,
,过点
的平面截该正方体所得的截面为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8cabbfce2c5459fa4e35d737c52ca41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b861c59576112ec3a816c73a23bba541.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
A.不存在![]() ![]() ![]() |
B.当平面![]() ![]() ![]() |
C.线段![]() ![]() |
D.当![]() ![]() |
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今日更新
|
116次组卷
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3卷引用:江西省多校联考2023-2024学年高二下学期6月摸底考试数学试题
解题方法
5 . 在
中,角
的对边分别为
,点
是
的内心.若
,则
的值可能为( )
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c730a4cdb4979bd186d3643c93cbac4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4acba218501febf4ea89c0840b83e518.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . “奔驰定理”因其几何表示酷似奔驰的标志得来,是平面向量中一个非常优美的结论.奔驰定理与三角形四心(重心、内心、外心、垂心)有着神秘的关联.它的具体内容是:已知M是
内一点,
,
,
的面积分别为
,
,
,且
.以下命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d011d6ad89d0b033f96c2efbb314d78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82e8ecb371ce77dca5554e8e03b41386.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4b0c4b339f44bbac0e275eb0718234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2319b6a5373bc8eb13772b8e6d047779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea3c7cd2f23b4521e64a7e64844ec48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/089e8a7f6c535fc3cd270af428d55f65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b63a8338380587c4466483cc9b2fd2bb.png)
A.若![]() ![]() |
B.若M为![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若M为![]() ![]() ![]() |
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解题方法
7 . 已知棱长为2的正方体
的棱切球(与正方体的各条棱都相切)为球
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.球![]() ![]() |
B.球![]() ![]() |
C.球![]() ![]() |
D.球![]() ![]() |
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解题方法
8 . 已知正方体
的棱长为1,点P是底面正方形
对角线
上一动点(含端点),则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
A.![]() ![]() |
B.三棱锥![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.以![]() ![]() ![]() |
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解题方法
9 . 已知
为方程
的根,
为方程
的根,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccb0bd07a0eec6d37efe8f2e310b5420.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e06143cdf12d19aa34f0a1e60feeb787.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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昨日更新
|
301次组卷
|
4卷引用:吉林省吉林市第一中学等校2023-2024学年高二下学期5月期中联考数学试题
吉林省吉林市第一中学等校2023-2024学年高二下学期5月期中联考数学试题2024届广东省江门市新会华侨中学等校高考二模数学试题福建省泉州市安溪第一中学2023-2024学年高二下学期5月份质量检测数学试题(已下线)第07讲 函数与方程(十一大题型)(练习)-2
10 . 对于函数
,若存在大于零的常数
和非零常数
,使得当
取定义域中的每一个值时,都有
,那么
称为“类周期函数”,
叫做“类周期”.下列四个命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3281ac9e36c20d31cf4bc12548b46f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
A.函数![]() ![]() |
B.函数![]() |
C.函数![]() |
D.设函数![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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