1 . 盒子里有36个红球和白球,甲、乙、丙各拿了其中的12个(都含有红球与白球).已知甲拿的红球数是乙的白球数的2倍,乙拿的红球数是丙的白球数的2倍.又知红球的总数是奇数,则盒子里白球的个数一共有___________ .
您最近一年使用:0次
2 . 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
3 . 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
名校
4 . 如图,直线
与抛物线
的图象都经过y轴上的D点,抛物线与x轴交于A,B两点,其对称轴为直线
,且
.直线
与x轴交于点C(点C在点B的右侧).则下列判断:①
;②
;③
;④
;⑤
中,正确的是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffe3400ea9733d0a16ffa44dc0fab4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c35c43d90814396ff06336fa45e9650.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffe3400ea9733d0a16ffa44dc0fab4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c21bd0bd90a89b7ff5ac0eacf612a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727b2f9ed96487c6d08bc26e647f76d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ddda0910855d8aceb007c598f6e16fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abc4f9d84d62fff4d43ef15dccfb35af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe67a36e04a834d1b216614f06d7d566.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/23/6c0a7228-1aa3-4600-8843-4121bc8cb657.png?resizew=184)
您最近一年使用:0次
2023-07-05更新
|
82次组卷
|
2卷引用:广东省佛山市顺德区第一中学2020-2021学年高一上学期新生入学数学试题
名校
5 . 如图,直线
与坐标轴交于A,C两点,过A,O,C三点作
,点E为劣弧
上一动点(不与A,O两点重合),连结
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1618f254adeb57bcf83bab32b6c792b7.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9ecf67f53e3f0b5c54a8233c44d6562.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0385df6c7f8ee7ab503b6ed35933695b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1642eec556eb252de9c1ab7bb5ca90b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f90c780dac29ff8b7df5881d3b33abab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1618f254adeb57bcf83bab32b6c792b7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/23/1e4e0736-6e91-4f4c-8eb1-a8c99c68de08.png?resizew=159)
您最近一年使用:0次
名校
6 .
四支足球队进行单循环赛(每两队都要比赛1场且只比赛1场),胜一场得3分,负1场得0分,平局各得1分.已知:①此赛结果没有两队的积分相同;②
没有平局,
平2局;③
净胜球
个;④
净胜球
个;⑤
净胜球1个.问
与
比赛的净胜球数为__________ (净胜球
进球数一失球数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db2ca6d163be93b18959beb75ac588b.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
您最近一年使用:0次
名校
7 . 我们引入记号
表示某个函数,用
表示
时的函数值.例如函数
可以记为
,并有
.狄利克雷是德国著名数学家,是最早倡导严格化方法的数学家之一.狄利克雷函数
的出现表示数学家对数学的理解开始了深刻的变化,从研究“算”到研究更抽象的“概念、性质和结构”.关于狄利克雷函数,下列说法:
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9691880e6d44aa300399619ab2032944.png)
②对于任意的实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9aaa072c8960c94bfa12a596a5ba53.png)
③对于任意的实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a9e945cb7f64159a24c0ae16a3f304.png)
④存在一个不等于0的常数
,使得对于任意的
都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71f07867fc8b77dd490e88c530b0b59.png)
⑤对于任意两个实数
和
,都有
.
其中正确的有__________ (填序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f484115a9df1b6060d6b14df85c6f38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b53b86bd516400d6fa7dabb3603f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b629bea8e22de9bfc49158e2289871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04beea76c59a6c5b096d8c5a3b77f8a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca0676718505851f1f6daaef35df7ad2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37695572935ea8db6d7683ab6555acd9.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9691880e6d44aa300399619ab2032944.png)
②对于任意的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9aaa072c8960c94bfa12a596a5ba53.png)
③对于任意的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a9e945cb7f64159a24c0ae16a3f304.png)
④存在一个不等于0的常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71f07867fc8b77dd490e88c530b0b59.png)
⑤对于任意两个实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ec485f7f68edac80e8758f5864e73d5.png)
其中正确的有
您最近一年使用:0次
名校
8 . 若函数
,则当自变量
取1、2、3、...100这100个自然数时,函数值的和是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63e2f47dbc262fb3d68f6000b76025df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
9 . 公元前3世纪,古希腊数学家欧几里德把人们公认的一些几何知识作为定义和公理(公设),在此基础上研究图形的性质,推导出一系列定理,组成演绎体系,写出《几何原本》.它的问世是整个数学发展史上意义极其深远的大事,也是整个人类文明史上的里程碑.在这本书中,欧几里德提出“三角形的内角和是
”这一定理,根据这一定理,我们可以得出“三角形的一个外角等于与它不相邻的两个内角之和”的结论.进一步思考:多边形的一个外角和与它不相邻的内角之间又有怎样的关系呢?假设一个
边形的某一个外角的度数是
,与它不相邻的所有内角的和是
,那么
与
的关系是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e7a123c9cc0e058db28841fb0edcf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed093e8d3f9c75408897c07186ad4784.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a7e1a4cd618c17fdc4d9d084066b378.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
您最近一年使用:0次
名校
解题方法
10 . 如图,在平面直角坐标系中,半径为
的圆B经过原点O,且与x,y轴分交于点A、C,点C的坐标为
,
的延长线与
的切线
交于点
,则经过
点的反比例函数的解析式为__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b094cba781181aeb90752170e9ba6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/08e35047-3b2f-4e6b-a7a3-7d5e6a269995.png?resizew=177)
您最近一年使用:0次