1 . 古希腊著名的约瑟夫环问题讲的是:共有127个士兵,围成一个环,从一号位的士兵开始,每个存活下来的人依次杀死相邻的下一位士兵,若一名叫做约瑟夫的士兵想要存活到最后,那么他最开始应当站在几号位上?( )
A.1 | B.63 | C.127 | D.31 |
您最近一年使用:0次
2 . 设数列
的各项均为非零的整数,其前
项和为
.若
为正偶数,均有
,且
,则
的最小值为( )
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a94774a88d80d7c78f103c095f68a152.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44bf235c15687a5a6b68b7c98ac66013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdd3a25ac2cde3d2c884028f750cfff8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3cf6f2bbe20a404fea41a4d2b1c4c7.png)
A.0 | B.22 | C.26 | D.31 |
您最近一年使用:0次
名校
3 . 已知数列
满足
,该数列的前
项和为
,则下列论断中错误 的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77506002cbe1b01b880d1d32862ce1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.![]() | B.![]() |
C.![]() ![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2024-05-07更新
|
442次组卷
|
2卷引用:北京市昌平区2024届高三第二次统一练习数学试题
4 . 如图,
是边长为2的正方形纸片,沿某动直线
为折痕将正方形在其下方的部分向上翻折,使得每次翻折后点
都落在边
上,记为
;折痕
与
交于点
,点
满足关系式
.以点
为坐标原点建立坐标系,若曲线
是由点
的轨迹及其关于边
对称的曲线组成的,等腰梯形
的
分别与曲线
切于点P、Q、
,且
在x轴上.则梯形
的面积最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828edf1530dce9c69d2e844b2bf4a81d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d659f763d2d33a685ba69df210dc1935.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e849e0ace8c1ca612978a716d15cc94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
A.6 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
5 . 如图,在等腰梯形
中,
∥
,
,
,
.点
是线段
上的一点,点
在线段
上,
.
命题①:若
,则
随着
的增大而减少.
命题②:设
,若存在线段
把梯形
的面积分成上下相等的两个部分,那么
,
随着
的增大而减少.
则下列选项正确的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b716d411a9e865ba6e60a83cdf65879.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5a86745bfe1dfe7bc2683811210330.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a1813a040cdcd5c345538ab2a192718.png)
命题①:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d1be1437712a3f286efb87481bb875a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2330ceffc14c92ff9804c54d9a9717c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
命题②:设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29dfebefd907eed364f1aa95697786d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77f4b20658d64d6b40520e96ef8c26ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e84c4da43d045928eb1d4c19945e145f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
则下列选项正确的是( ).
A.命题①不正确,命题②正确 | B.命题①,命题②都不正确 |
C.命题①正确,命题②不正确 | D.命题①,命题②都正确 |
您最近一年使用:0次
6 . 抛物线
上有四点
,
,
,
,直线
,
交于点
,且
,
.过
分别作
的切线交于点Q,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/179234a7f5454002d6519079a5ff7972.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897c6706f9c6f34bcbe3de0f578f0f18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/701fa50884a9f625e92a01fd68d7d671.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2761b04cbcdf04017938573e2ce8b21a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024·全国·模拟预测
7 . 下列正确结论的个数为( )
①
②
③
④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b3e94b6e42bf4eaab31ebfa642effbd.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da48d1a462054169758ce4bbed704845.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a1378cbfe2328652be559282e13835.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8f73ab490baad65931aef239db69ff3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b3e94b6e42bf4eaab31ebfa642effbd.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
解题方法
8 . 已知
是定义在
上的函数,其图象是一条连续不断的曲线,设函数
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe1bc2ba6b989c9b337ec68f578a8b5.png)
A.若![]() ![]() ![]() ![]() ![]() |
B.对于任意实数![]() ![]() ![]() ![]() ![]() |
C.对于任意实数![]() ![]() ![]() ![]() ![]() |
D.若函数![]() ![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
9 . 令
.则
的最大值在如下哪个区间中( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c7e80ff3b5d2cfe7bb3f7c9b62be191.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
10 . 已知
,函数
在点
处的切线均经过坐标原点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a72228506f0ab7d8d4179fd0ca82d34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7f9b35017daa8b524c5717a355834a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa89a2010f813feaaf42256d0742f71a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-04更新
|
2635次组卷
|
7卷引用:浙江省温州市2024届高三上学期期末考试数学试题
浙江省温州市2024届高三上学期期末考试数学试题湖南省2024届高三数学新改革提高训练五(九省联考题型)安徽省阜阳市阜阳一中2023-2024学年高二下学期开学检测数学试题(已下线)新题型01 新高考新结构二十一大考点汇总-3上海市浦东新区上海实验学校2024届高三下学期开学考试数学试题(已下线)黄金卷02(2024新题型)甘肃省兰州市西北师范大学附属中学2024届高三第三次诊断考试数学试题