解题方法
1 . 在数学史上,为了三角计算的简便并且更加追求计算的精确性,曾经出现过下列两种三角函数:定义
为角
的正矢,记作
;定义
为角
的余矢,记作
.给出下列结论:
①函数
在
上单调递增;
②若
,则
;
③若
,则
的最小值为0;
④若
,则
的最小值为
.
其中所有正确结论的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b7b2ba487fb7e7063a4f95ea81c94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52e98f5ac7415a262664dd6c2e8eacf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d54bbf533362dbef1dae0345afae92f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42f539be9908400df3c3e679e6b8e0e8.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfb58e2e08a817e6279d9116012b0518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc08b681e246016cd05802b234760e0.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb245aa9a36dc82042dead26f2de3400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06895303e65f0a987c429a83ff01235b.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812e2fd49b011c1af000001dea81ef99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc78b4b6a74d63b6d76496e80791e49b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb88b6e17cd00140b747b585a6644d39.png)
其中所有正确结论的序号为( )
A.①② | B.③④ | C.①③④ | D.②③④ |
您最近一年使用:0次
2 . 函数
图象上不同两点
,
处的切线的斜率分别是
,
,规定
叫做曲线
在点
与点
之间的“弯曲度”,给出以下命题:①函数
图象上两点
与
的横坐标分别为1,2,则
;②存在这样的函数,图象上任意两点之间的“弯曲度”为常数;③设点
、
是抛物线
上不同的两点,则
;④设曲线
上不同两点
,
,且
,若
恒成立,则实数
的取值范围是
.以上正确命题的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05193d9096bd9da9230acc14228aa4e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c4920bf4db93b18d4ecfdc05e310dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8605ae9897d5d6f0679b4aa80e014bda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17b3e87e9bb00d9ba09cb5660aebd76f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ee4222da9e1c0341066ac70fd7fab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.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/f63710d6fa1a1d49e2d6c5e01eb6478e.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/316db967a70305dcd846281b29f421db.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/c2b629bea8e22de9bfc49158e2289871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad613217bdff0b1c225e3e5ca31eec4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f2eff609c6043c2a89a6dd163fe2244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05193d9096bd9da9230acc14228aa4e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c4920bf4db93b18d4ecfdc05e310dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08aeab36f3c3546b641470aad464ebd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d54d4444cd3d44a4e72c68a6013a21d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d8fcaef916db4b90e9ce3054974759.png)
A.①② | B.②③ | C.③④ | D.②③④ |
您最近一年使用:0次
3 . 地铁某换乘站设有编号为
的五个安全出口.若同时开放其中的两个安全出口,疏散1000名乘客所需的时间如下:
用
表示安全出口
的疏散效率(疏散时间越短,疏散效率越高),给出下列四个说法:①
;②
;③
;④
.其中,正确说法的个数有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed29ac6695b74f4417b0e1ec72782db2.png)
安全出口编号 | |||||
疏散乘客时间 | 120 | 220 | 160 | 140 | 200 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bcd92f8dd58386bb3742dfb1e11f0d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0a9523f2084cf17b8656c11ab1d95e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390a3b7a1bce0430c83eb615dea44467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b06dd1997dafa7ae7a08f66a6a7f892f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4934a603a707b90adf511c526775d917.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/562f5c85df26eb5b2681739761fea094.png)
A.4个 | B.3个 | C.2个 | D.1个 |
您最近一年使用:0次
4 . 若平面点集
满足:任意点
,存在
,都有
,则称该点集
是“
阶稳定”点集.现有四个命题:
①对任意平面点集
,都存在正数
,使得
是“
阶稳定”点集;
②若
,则
是“
阶稳定”点集;
③若
,则
是“
阶稳定”点集;
④若
是“
阶稳定”点集,则
的取值范围是
.
其中正确命题的序号为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46555735dde9e57ac52e1eeb687f3ad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f38e916d4c713366616379768222c5da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd29dc9d11ca26bc64a31b344da89a65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
①对任意平面点集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a6d5b3bdd2b277ed94306cca2a39e9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24688a4ab2e909d1002685bb68d7cb99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d59834cd0f5a9e7911c313c431c1bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24b319d1866ba76cba6a91f09f610f50.png)
其中正确命题的序号为
A.①② | B.②③ | C.①④ | D.③④ |
您最近一年使用:0次
5 . 随着我国经济社会加快发展,人们思想观念不断更新,女性在企业管理中占据着越来越重要的地位,2021年12月21日,国家统计局发布了《中国妇女发展纲要(2011—2020年)》终期统计监测报告.下图为2010—2020年企业职工董事和职工监事中女性所占比重条形统计图,根据此图,判断下列说法错误的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/10/3c7f7de3-b2c1-4655-bfbc-6f0140ee5344.png?resizew=428)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/10/3c7f7de3-b2c1-4655-bfbc-6f0140ee5344.png?resizew=428)
A.2010—2020年企业职工董事中女性所占比重的平均值为35.0个百分点 |
B.2020年企业职工董事中女性比重比2010年提高2.2个百分点 |
C.2020年企业职工监事中女性比重比2010年提高3.0个百分点 |
D.2011年企业职工监事中女性比重与董事中女性比重的差最大 |
您最近一年使用:0次
2022-08-08更新
|
169次组卷
|
2卷引用:河南省新未来2022-2023学年高三上学期8月联考文科数学试题