名校
解题方法
1 . 已知正项等比数列
中,
成等差数列.若数列
中存在两项
,使得
为它们的等比中项,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a69bebfcae78b52d51c1edfbbbfa712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2320fcc6aaa1d36b49f8e03b376b80e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3b31aa38ae4c0da2b7e792081c5f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd93ee03569849295ebde055410d1b84.png)
A.3 | B.4 | C.6 | D.9 |
您最近一年使用:0次
2024-03-04更新
|
2860次组卷
|
11卷引用:湖北省荆州市沙市中学2024届高三下学期3月月考数学试题
湖北省荆州市沙市中学2024届高三下学期3月月考数学试题云南省德宏傣族景颇族自治州2024届高三上学期期末教学质量监测数学试题2024年普通高等学校招生全国统一考试数学模拟试题(一)(新高考九省联考题型)(已下线)考点7 基本不等式及其应用 --2024届高考数学考点总动员【讲】(已下线)1.3.1 等比数列7种常见考法归类(3)(已下线)第2讲:不等式的解法与性质、基本不等式【练】云南省大理州祥云县部分高中(云·上联盟五校协作体)2024届高三下学期复习摸底诊断联合测评数学试题广东省汕头市潮阳实验学校2023-2024学年高二下学期第一次月考数学试题江西省丰城市第九中学2023-2024学年高二下学期4月月考数学试题四川省成都市简阳实验学校2023-2024学年高二下学期3月月考数学试题山西省太原市师苑中学校2023-2024学年高三下学期第二次月考数学试题
2 . 已知数列
满足
,
的前
项和为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c0638c3b5f362512ae6fb292565c37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3783e69ef5a6a0af566ff4e21ccf03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.![]() |
B.当![]() ![]() |
C.当![]() ![]() |
D.若![]() ![]() |
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名校
3 . 抛掷一枚质地均匀的骰子,记
“点数为
”,其中,
1,2,3,4,5,6,
“点数为奇数”,
“点数为偶数”,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6076491fdcd09614b5797ff6fdbc98b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51b1e185d6a0ab350cdc947beeb82040.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26308ea6d8f321d27acbd7f9b131f9f1.png)
A.![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2024-02-28更新
|
350次组卷
|
2卷引用:湖北省荆州市八县市区2023-2024学年高二上学期1月期末联合考试数学试题
4 . 数学中也有一朵美丽的雪花——“科赫雪花”.它的绘制规则是:任意画一个正三角形
,并把每一条边三等分,以三等分后的每边的中间一段为边向外作正三角形,并把这“中间一段”擦掉,形成雪花曲线
.重复上述两步,画出更小的三角形,一直重复,直到无穷,形成雪花曲线
.设雪花曲线
边长构成数列
,面积构成数列
.若
的边长为3,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
________ ;
=________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd22d0343656ab15fc226ccf9f154825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d013861990cf331c82eb453416ae31bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/27/8690a193-bd83-4259-a647-ecdc5fa7bed9.png?resizew=322)
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解题方法
5 . 如图,在五面体
中,面
为矩形,且与面
垂直,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/27/c7b39615-7623-4380-a88b-8691b21aa2bd.png?resizew=136)
(1)证明:
//
;
(2)求平面
与平面
夹角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ecc1cb55a57dde481f8dd07ab150676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3bbe4cdd2c154bd9a8073b0d4cecb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75da7d6d75e39aa967b7c477aa1d60d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb55961fe96e155242d18d98e5c2261.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/27/c7b39615-7623-4380-a88b-8691b21aa2bd.png?resizew=136)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c66d99a6a8415ddad22bbed33b64cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b312dab930cbbb9a4bb1a99f044dab73.png)
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名校
6 . 已知数列
满足
,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a880bf7a484a137d8b57ed50821b78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9367309741defb57a546716b0c92a1be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac2aa7fff6624fe98f76297656cb19dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
A.8 | B.9 | C.10 | D.11 |
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名校
解题方法
7 . 直线
经过点
,且倾斜角为直线
的倾斜角的一半,则l的方程为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42a2b8b43e1fe82fc439d145e91b860c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c48042e88209a28f891b29768bf3fb0.png)
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8 . 已知点
和
,点
在
轴上,且
为直角,则点
坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7086e04471893c3b8e7526692286511f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf8f5d8be251bf2848d6d10aa0340f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb686e4f5e3938575bc547e849d5513f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() |
您最近一年使用:0次
9 . 已知数列
的前n项和为
.
(1)求证:数列
是等差数列;
(2)设
的前n项和为
;
①求
;
②若对任意的正整数n,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404378873d8f90e59cac43dbe6bb1562.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4689920e36d2ac304503d852083b07a4.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fb5d73cea14ac60937f8d5a4f5f0c1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
②若对任意的正整数n,不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6abf942265247031ce354221f22ac6ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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10 . 在等差数列
中,
是
的前
项和,满足
,
,则有限项数列
中,最大项和最小项分别为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e585900bbcf9f9e4dbba51a05225ead9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c596d3b2a629ecec71fc227a5bbbf1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2e8afd6c4b50076b795e06da6462eb2.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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