名校
解题方法
1 . 已知函数
恰有两个零点
和一个极大值点
且
成等比数列,则 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b029ff1ec707abd0d2a14b9a3d4c2082.png)
______ .若
的解集为
,则
的极大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1aa802eca403e0d82abbfb3de86842.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02f91116f15374425d688151214a249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/546cd7c7c03fde940c6f3d4b3d423061.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b029ff1ec707abd0d2a14b9a3d4c2082.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85db4f72795b4a150a734d835ffbd913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c253ea436c94f88bd5a3ddb799ef30ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
名校
解题方法
2 . 意大利著名数学家斐波那契在研究兔子的繁殖问题时,发现有这样的一列数:1,1,2,3,5,8,13,21,….该数列的特点如下:前两个数均为1,从第三个数起,每一个数都等于它前面两个数的和.人们把这样的一列数组成的数列称为斐波那契数列,若用
表示斐波那契数列的第
项,则数列
满足:
,
.则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e7da46fe6aa04c5cd29800addb2e090.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfbc6e2515ed5cf9482cd3094b9de0d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12b290971efaf65804cc756c038c43fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/183ba15a2aae79c4079fe59e248918be.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
3 . 正方体
的棱长为1,
,
,
分别为
,
,
的中点.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
A.直线![]() ![]() | B.直线![]() ![]() |
C.平面![]() ![]() | D.点![]() ![]() ![]() |
您最近一年使用:0次
2024-06-14更新
|
677次组卷
|
2卷引用:山东省淄博第六中学2023-2024学年高一下学期期中考试数学试题
名校
4 . 已知函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea09d37b495330c0fc9f50af0c46d7df.png)
A.![]() |
B.![]() |
C.点![]() ![]() |
D.直线![]() ![]() |
您最近一年使用:0次
2024-06-13更新
|
409次组卷
|
2卷引用:山东省济宁市兖州区2023-2024学年高二下学期期中质量检测数学试题
解题方法
5 . 已知椭圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d72a07a4e5acfc140a3cea1f26b951.png)
的焦距为
,点
在
上.
(1)求
的方程;
(2)点
是
的左顶点,直线
交
于
两点,
分别交直线
于点
,线段
的中点为
,直线
与
轴相交于
点,直线
的斜率为
,求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d72a07a4e5acfc140a3cea1f26b951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f82eb4ba631d0f50d848aa6e576b379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e454c7161999e2a67138869f59d319b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10b60747933214d7171657b680196577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d42cb68c5c877a455ba7ac0a6b6a651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7e08d5c04f0431fb57b33a01717b599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47dfd1be4b77d75ea6194ca3a987cc26.png)
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6 . 在足球比赛中,有时需通过点球决定胜负.
(1)扑点球的难度一般比较大,假设罚点球的球员会等可能地随机选择球门的左、中、右三个方向射门,门将(也称为守门员)也会等可能地随机选择球门的左、中、右三个方向来扑点球,而且门将即使方向判断正确也有
的可能性扑不到球.不考虑其它因素,在一次点球大战中,求门将在前三次扑到点球的个数
的分布列和期望;
(2)好成绩的取得离不开平时的努力训练,甲、乙、丙三名前锋队员在某次传接球的训练中,球从甲脚下开始,等可能地随机传向另外
人中的
人,接球者接到球后再等可能地随机传向另外
人中的
人,如此不停地传下去,假设传出的球都能接住.记第
次传球之前球在甲脚下的概率为
,易知
.
① 试证明:
为等比数列;
② 设第
次传球之前球在乙脚下的概率为
,比较
与
的大小.
(1)扑点球的难度一般比较大,假设罚点球的球员会等可能地随机选择球门的左、中、右三个方向射门,门将(也称为守门员)也会等可能地随机选择球门的左、中、右三个方向来扑点球,而且门将即使方向判断正确也有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
(2)好成绩的取得离不开平时的努力训练,甲、乙、丙三名前锋队员在某次传接球的训练中,球从甲脚下开始,等可能地随机传向另外
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ffb021aa7d5a5c2f0691e337caad624.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ccb00156af41dd19c8f093358a19419.png)
① 试证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1522ca5beca917b24f0f8ce40730c34f.png)
② 设第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ce603aa3abcb61750d2191aaa13dddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4719d65f3c813e7c4ba32d6f13b38f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87af8921ddb226a1fec93cf1cc8d696.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
,数列
满足
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7904757c16ce6903bd5580d2c37ed11.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3110dbede248b525d5ecff1127966538.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8323901a49cac29afd7d62864f088077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ce53d78a1931364b237324fc72e592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14a18d2df798894e2515f8f14b76624f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7904757c16ce6903bd5580d2c37ed11.png)
您最近一年使用:0次
2024-06-12更新
|
532次组卷
|
3卷引用:山东省滨州市2024届高三下学期二模数学试题
8 . 定义:设
和
均为定义在
上的函数,它们的导函数分别为
和
,若不等式
对任意实数
恒成立,则称
和
为“相伴函数”.
(1)给出两组函数,①
和
;②
和
,分别判断这两组函数是否为“相伴函数”;
(2)若
是定义在
上的可导函数,
是偶函数,
是奇函数,
,问是否存在
使得
和
为“相伴函数”?若存在写出
的一个值,若不存在说明理由;
(3)
,写出“
和
为相伴函数”的充要条件,证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2faa63899873813748f6a28b8a92e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933093b52cca887f597cbe22a5467b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090a91e4f3c8930674f98a9fa527709b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783c88951a458d5862557f2a041f817a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/641d65f51ea7487fd84aa8d1fbcc3b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2faa63899873813748f6a28b8a92e9.png)
(1)给出两组函数,①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/125fb6edbb4d5a9f93199816b8c0a8d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f45b5ff5ad4070bf0172149c660b224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2acd9e80f792e815194dd0c815f30fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a613c6202de44ac9d557e4ce75ca5ef6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f103e9b807e576b1954d91009a26d463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933093b52cca887f597cbe22a5467b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2faa63899873813748f6a28b8a92e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03318fa1c9b6a20bf3aa1630f161c6c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ee0f7141d44f242b4cf730e9fd2175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2faa63899873813748f6a28b8a92e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ca68c4a017731b7fe3d3e2d81da6c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2faa63899873813748f6a28b8a92e9.png)
您最近一年使用:0次
解题方法
9 . 已知函数
,
的定义域为
,
为
的导函数,且
,
,若
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/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22add663bd26e87d972a10dc5fd9ada1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf30dcd6d4b3ef64fec0ace10f993aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0e5a2c2787afc62cd8d7e680e85b166.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
10 . 如图,在五边形
中,四边形
为正方形,
,
,F为AB中点,现将
沿
折起到面
位置,使得
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ff27eea7545bb06f9472f91290c54e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbb52f9b226b1db3f6f9f055948bd38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a6eb75c2bc5a47ec8c8d83d79fd431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923189afc198d153c79059a827f63c87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db6ff4159947ed2dc47d82fa3bcab9a.png)
A.平面![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.折起过程中,![]() ![]() |
D.三棱锥![]() ![]() |
您最近一年使用:0次
2024-06-11更新
|
673次组卷
|
3卷引用:山东省泰安市2024届高三四轮检测数学试题