1 . 已知数列
满足
(
且
),则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bec805491b68bcd47219f79e69e26b63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
A.![]() ![]() |
B.若数列![]() ![]() |
C.数列![]() ![]() ![]() |
D.当n是奇数时,![]() |
您最近一年使用:0次
2023-07-08更新
|
1056次组卷
|
6卷引用:福建省宁德第一中学2020-2021学年高二上学期开学检测数学试题
福建省宁德第一中学2020-2021学年高二上学期开学检测数学试题广东省汕尾市2022-2023学年高二下学期期末数学试题云南省昆明市第一中学2024届高三新课标第四次一轮复习检测数学试题江西省宜春市铜鼓中学2023届高三上学期第三次阶段性测试数学试题(已下线)专题2 数列的奇偶项问题【讲】(高二期末压轴专项)(已下线)重组3 高二期末真题重组卷(广东卷)B提升卷
2 . 如图,在
中,
于点
,
于点
,
为
边的中点,连接
、
、
,则下列结论:①若
,则
;②若
,则
;③若
,则
为等边三角形;④若
,则
.其中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3f843b83e62bab294988a7ea134a63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ffdf36ba9697d1fe3376a854c26c01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b8b98b2f83279a49e94d9f48c5e6f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55468740d16e56ab5107b9b90a44bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05d35d8d8bb0dc17f2f86fe5b230a2b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/857f848e92a8e900d742cf90314b1ee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c284ccb6f4ee7a8690013d2ce16e226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b8fd793511c7f18df93baea6c2cc9df.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/3/3a94ed2c-7357-4149-adaa-a76e976fa5f7.png?resizew=160)
A.①②③ | B.①③④ | C.①②④ | D.②③④ |
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3 . 如图入口进入,沿框内问题的正确判断方向,最后到达的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/3/b105ab4a-dcbd-4d5e-8cff-2a9791ee7e6f.png?resizew=582)
A.甲 | B.乙 | C.丙 | D.丁 |
您最近一年使用:0次
4 . 如图,在
轴上方,平行于
轴的直线与反比例函数
和
的图象分别交于
、
两点,连接
,过
点作
交
轴于
点,若平行四边形
的面积为12,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54cec401b13d837b0cc8040d15a7a37f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb79a1b0c6dc78e6de17de6bed477fb1.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/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9b0f2c0352a94898281927fa8cb7a26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13a1640802834338873fda4650f2e621.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/3/5889f01c-561d-4161-ad6e-e2e529ed60d8.png?resizew=180)
A.12 | B.-12 | C.6 | D.-6 |
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5 . 如图,若
为正整数,则表示
的值的点落在( )
![](https://img.xkw.com/dksih/QBM/2023/10/14/3345962362314752/3347423293464576/STEM/8bec73e231534815b3281285f243d99a.png?resizew=230)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce54976bfbdfb618cc5e268b9a5be7ce.png)
![](https://img.xkw.com/dksih/QBM/2023/10/14/3345962362314752/3347423293464576/STEM/8bec73e231534815b3281285f243d99a.png?resizew=230)
A.段① | B.段② | C.段③ | D.段④ |
您最近一年使用:0次
6 . 一个容器盛满酒精,第一次倒出10升后,用水加满,第二次倒出6升后,再用水加满,这时容器内的酒精与水的体积之比为7:13,则这个容器的容积为( )
A.18升 | B.20升 | C.24升 | D.30升 |
您最近一年使用:0次
7 . 如图,用6个全等的三角形拼成一个内外都是正六边形的图形,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6877ef28e231e69cfbef3907d367743.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e87f9586b708869fd7186e75a75c1dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26e32412868f3dcb5cad62c8a836778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6877ef28e231e69cfbef3907d367743.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/3/50c4a305-2880-4f88-8b44-94158ac18f52.png?resizew=161)
您最近一年使用:0次
8 . 如图①是一个小箱子
放在桌面
上的示意图,
这部分可弯曲,在弯曲时形成一段圆弧,设圆弧所在圆的圆心为
,线段
,
均与圆弧相切,点
,
分别为切点,小箱子盖面
与桌面
平行,此时
距离桌面14cm,已知
的长为10cm,
的长为25.2cm.
(1)如图①,求弧
的长度(结果保留
);
(2)如图②,若小箱子
打开后弧
所对的圆心角度数为60°,求小箱子顶端
到桌面
的距离
(结果保留一位小数).(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/3/d9f1366f-c781-4762-8475-04c959d2a53b.png?resizew=370)
(1)如图①,求弧
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(2)如图②,若小箱子
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e4fa04825ac7d071968056322d88be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460317e7c26f95b9b29cfe1a89b796d6.png)
您最近一年使用:0次
9 . 某学校在大课间举行跳绳活动,为此学校准备购置长、中、短三种跳绳若干,要求中跳绳的条数是长跳绳的2倍,且短跳绳的条数不超过长跳绳的6倍.已知长跳绳单价是20元,中跳绳的单价是15元,短跳绳的单价是8元.
(1)若学校准备用不超过2300元的现金购买200条长、中、短跳绳,问学校有几种购买方案可供选择?
(2)若学校准备恰好用3000元的现金购买
条长、中、短跳绳,求
的最大值.
(1)若学校准备用不超过2300元的现金购买200条长、中、短跳绳,问学校有几种购买方案可供选择?
(2)若学校准备恰好用3000元的现金购买
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
10 . 如图,在平面直角坐标系
中,正方形
的顶点坐标分别为
、
、
、
,点
绕点
旋转180°得点
,点
绕点
旋转180°得点
,点
绕点
旋转180°得点
,点
绕点
旋转180°得点
,点
绕点
旋转180°得点
,重复操作依次得到点
,则点
的坐标为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8748dc55e2f45bc37fc4d84d7310f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3544997cc034ed882c0d0a3bdbf5f957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2f117dc9adcb8fa7acf25bd2cbf283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bdfbae913ff7ff8caaefcaacf8c20ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c10f14aae6fb21e047ecb39cdf40c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee50575e3ebd56c4f46dd0bbf8e55d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee50575e3ebd56c4f46dd0bbf8e55d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31238877eec10d1c04ddda5b2126457.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe3b8f9927fe9cb014fca5836648b8f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/391d23b5ffaf0444a1d1a1550a0f3527.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/3/1d6bea33-8119-4ec2-9cf0-2c66daa90a59.png?resizew=160)
您最近一年使用:0次