1 . 宋朝诗人王镃在《蜻蜓》中写到:“轻绡剪翅约秋霜,点水低飞恋野塘”,描绘了蜻蜓点水的情形,蜻蜓点水会使平静的水面形成水波纹,截取其中一段水波纹,其形状可近似于用函数
的图象来描述,如图所示,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc4f29a473e9757d8f24f627f52e9e15.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3434f3860fb9e47ab2b8ef93eae2a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc4f29a473e9757d8f24f627f52e9e15.png)
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2 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/994d6e7f47b3b98aa848c05d0af8f65e.png)
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/994d6e7f47b3b98aa848c05d0af8f65e.png)
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3 . 如图,已知山体
与山体
的底部在同一水平面上,且两个山体的高线
与
均与水平面垂直,
,在山体
的最高点
处测得山顶
的仰角为
,测得山底A的俯角为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c978d92edf0c4c1ef8620c17df75d35e.png)
______ m.
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/243ed8748dea92fa90d5789d1ab69435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c978d92edf0c4c1ef8620c17df75d35e.png)
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2024-06-16更新
|
160次组卷
|
2卷引用:河南省驻马店市部分学校2023-2024学年高一下学期5月青桐鸣联考数学试题(北师大版)
名校
4 . 已知函数
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a95fa3f80516b8a1a3172ec87490c15c.png)
A.若![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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2024-06-15更新
|
97次组卷
|
2卷引用:河北省衡水中学2024届高三下学期新高考数学押题卷数学(二)
5 . 点
将一条线段
分为两段
和
,若
,则称点
为线段
的黄金分割点.已知直线
与函数
的图象相交,
为相邻的三个交点,则( )
![](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/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58615bd23ace29f63b9ad9462c026373.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/629295a6586ebe4586a0825f5c66a7b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/644ffeda5b819d3714321c1264159fd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
A.当![]() ![]() ![]() ![]() |
B.对于给定的常数![]() ![]() ![]() ![]() |
C.对于任意的![]() ![]() ![]() ![]() |
D.对于任意的![]() ![]() ![]() ![]() |
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2024-06-11更新
|
148次组卷
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2卷引用:江西省萍乡市2024届高三二模考试数学试卷
6 . 已知有如下命题:
①锐角一定小于
;
②若扇形的面积为2
,扇形圆心角
的弧度数是4,则扇形的周长为6cm;
③若
是第二象限角,那么
和
都不是第二象限角;
④若
与
终边共线,则必有
(
)
其中正确命题的个数是( )
①锐角一定小于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
②若扇形的面积为2
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ce13774b09ff2edddaf21a072cf60a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8dd0c52aca1675c17b9a019aa7901e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b0e27121a582de019f7d539dbd95114.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/118f3fd87eb81af95ca267ebe1f9bfbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45a173784888adf2946382fa093ba53a.png)
其中正确命题的个数是( )
A.0 | B.1 | C.2 | D.3 |
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名校
7 . 如图,在菱形
中,
,
,
,
,
分别是边
,
,
,
的中点,以点
为圆心,以
,
为半径作出两段圆弧,与
分别交于点
,
,分别以
,
,
为圆心,用同样方法作出如图阴影部分的扇环,其中
.若扇环
的周长为
,则扇环
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05d35d8d8bb0dc17f2f86fe5b230a2b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6795cae2df43a722e1355e9562d93c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b09b10f662479431978074c1a99f6b65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6795cae2df43a722e1355e9562d93c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b56e44e4f0424a2b7a45567120a2e4.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/eeb0d6db6811d2fc80e717042bc84c79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cda3d6f877de32965e6430c15d10ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9884ac12d1a03f00d89e06bc919c7bcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ace06f746466874cde272f958bb45e67.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 某地为了更好地开发当地的旅游资源,决定在两座山头建一条索道,现测得两座山高分别为
米,
米.从山脚下的
处测得
处的仰角为
,
处的仰角为
,
,点
,
,
在同一水平面内,
,
,则两座山的山顶
,
之间的距离是______ 米.(参考数据:
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e2d4c69dc4cd1985c5877f49e22634.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/664ef8298f9c6eef667861e1da9bd8a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/903c1bb6f9fe8f9b9710683a3e601452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4794cf7c57bdd4825d9e6615e2527a4.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/624b88c1ded9f65fe34586bc4d7b20e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d56fffeca88040c5e70b1d240bcac66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76fe9cc87f8e8389c94efa7e7caab2a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad548d3bb499aab6d0baf4032be99bfd.png)
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9 . 如图,河宽50米,河两岸A、B的距离为100米,一个玩具气垫船(不计大小)可以从A走水路直接到B,也可以从A先沿着岸边行驶一段距离,再走水路到B.已知该气垫船在水中的速度是10米/分钟,岸上的速度是20米/分钟,则从A到B的最短时间为______ 分钟,(精确到小数点后两位)
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10 . 某校数学兴趣小组欲对当地一唐代古塔进行测量,如图是该古塔
的示意图,其中
与地面垂直,从地面上
点看塔顶
的仰角为
沿直线
向外前进
米到点
处,此时看塔顶
的仰角为
根据以上数据得到塔高为
米,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/511110951e4e9a3a5dc4fc07461e617f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ec366d95d6eeed90ac2764eb3e94bc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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