1 . 去年年末,小王按照分期付款的方式购买一辆小轿车,总价为67.5万元,小王先首付27.5万元,以后每年还汽车销售商2万元和余款的利息,同时约定每年的年利率为6%.例如第1年年末他应付金额
万元,第2年年末他应付金额
万元,…,依次类推,直到还清余款为止.写出第n年年末(n为整数)应付金额y(万元)与n的函数关系式为 _______ .(不要求写n的取值范围)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaaf037cc3240db79d080f85c4817f99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12eea513b016aa67d45204311bbb98b2.png)
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2 . 如图所示,边长为2的正
的顶点都在坐标轴上,其重心
在
轴上,若满足到
三点的距离之和为5的点的轨迹记为
,则下列命题中正 确的是________ .
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/25/9d106031-8270-4439-9da2-8b517bde94d7.png?resizew=177)
①曲线
的内部共有7个横、纵坐标都为整数的点;
②曲线
的内部的面积小于3;
③曲线
上的点到
的距离不超过2.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/25/9d106031-8270-4439-9da2-8b517bde94d7.png?resizew=177)
①曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
②曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
③曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
您最近一年使用:0次
3 . 已知两个不重合的平面
,若直线
,请加一个条件________ ,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1754786a3367aca3da18ee3316e5b968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
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解题方法
4 . 下列说法中不正确的是______ (只需填写序号)
①设集合
,则
;
②若集合
,
,则
;
③在集合A到
的映射中,对于集合
中的任何一个元素
,在集合A中都有唯一的一个元素
与之对应;
④函数
的单调减区间是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d028846b8614318fbf90387d13c75b5.png)
⑤设集合
,
,若
,则
①设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cec1a82f40122b306b15aa29da2f8c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a88caacdbf71fca44d1ca412c68fa66.png)
②若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5361ed288fa23f3b5d16cbc09d3293d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f808f81b6ea9da53d51c549be04f4267.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
③在集合A到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c9320d009a17deba67f208c7d8be8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d028846b8614318fbf90387d13c75b5.png)
⑤设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a569ad6f0b7c49d11d7e167bb0527ace.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faa7b8acbc8b0027cbe9e3986ad1d859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6455e38ff53ede2508e4d9cb23f0b86.png)
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5 . 如图,在矩形ABCD,AB=1,BC=2,
为线段BC上的一动点,且和B,C不重合,连接PA,过点P作PE⊥PA交CD于E,将△PEC沿PE翻折到平面内,使点C恰好落在AD边上的点F,则BP长为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/24/ea0f28db-0ec9-4b47-88d4-9bda6ba0d1b9.png?resizew=175)
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6 . 如图,在矩形
中,
是
的中点,将
折叠后得到
,延长
交
于点
,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/25/5138d74b-a787-4146-8377-5eaadabc9a0a.png?resizew=176)
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48cc49beb8b3c8fbb29e69f31e2030c5.png)
________ ;②若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4c0e9fcd7ddeccd70754aa758aad70.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37dcb0289f28b8e5c6aa8e9c1adb804b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46e507b71f45a50bf08b2e0894fed1d7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/25/5138d74b-a787-4146-8377-5eaadabc9a0a.png?resizew=176)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48cc49beb8b3c8fbb29e69f31e2030c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3362a45b72536c714c5107b0ae94f1c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4c0e9fcd7ddeccd70754aa758aad70.png)
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解题方法
7 . 如图展示了一个区间
(
是一个给定的正实数)到实数集R的对应过程:区间
中的实数
对应线段
上的点
,如图1;将线段
弯成半圆弧,圆心为
,如图2;再将这个半圆置于直角坐标系中,使得圆心
坐标为
,直径
平行
轴,如图3;在图形变化过程中,图1中线段
的长度对应于图3中的圆弧
的长度,直线
与直线
相交于点
,则与实数
对应的实数就是
,记作
.给出下列命题:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/10/313061c7-d288-4888-987f-7f43859f1047.png?resizew=508)
(1)
;
(2)函数
是奇函数;
(3)
是定义域上的单调递增函数;
(4)
的图像关于点
对称;
(5)方程
的解是
.
其中正确命题序号为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54db6c82096015c2fd1cfa62a05fc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54db6c82096015c2fd1cfa62a05fc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a8588dc60a543ad70d6bc0d263dbd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefa44964db83759aff6fc8dd7ef8f28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f9d87b1d7a593ed9fd10206b87fa59a.png)
![](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/a9df0e576a3d75d66060bbdd1549ba4b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/10/313061c7-d288-4888-987f-7f43859f1047.png?resizew=508)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1f28b00526dcd8edd41600728e14ba3.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9df0e576a3d75d66060bbdd1549ba4b.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9df0e576a3d75d66060bbdd1549ba4b.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9df0e576a3d75d66060bbdd1549ba4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26fca47de6a623818ef1f56594de500.png)
(5)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fce1b004f97ed12a5cad0bd5ccf7bf09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/991c786a9434ba4ac8b1cd223933766c.png)
其中正确命题序号为
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8 . 在平面直角坐标系中,二元方程
的曲线为
,若存在一个定点
和一个定角
,使得曲线
上的所有点以
为中心顺时针(或逆时针)旋转角
,所得到的图形与原曲线重合,则称曲线
为旋转对称曲线.给出以下方程及其对应的曲线:
; ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/199da209c1d449712901f9d8fa751d10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d69accbf3a6fb381616ae0a7c43b160.png)
其中是旋转对称曲线的是__ (填上所有符合题意的曲线).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a6af0c85c1a59c2b77b6e550e1ef54.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/de72548ccc62e6e15d1be4afcdf09ad5.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/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f036026cd92e9ad059c3f22a7658638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/199da209c1d449712901f9d8fa751d10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55411ad607653d2077c4e6ca583f985.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d69accbf3a6fb381616ae0a7c43b160.png)
其中是旋转对称曲线的是
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解题方法
9 . 已知上海地处东经
至
,则上海所辖区域的经线对应的两半平面所成的二面角的大小是__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8190523bfcbf0a3cb22974c5f0909311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c33b1ca056574a0230b4753be66f630f.png)
您最近一年使用:0次
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10 . 中国健儿在东京奥运会上取得傲人佳绩,球类比赛获奖多多,其中乒乓球、羽毛球运动备受学生追捧.某校高一(1)班40名学生在乒乓球、羽毛球两个兴趣小组中,每人至少报名参加一个兴趣小组,报名乒乓球兴趣小组的人数比报名羽毛球兴趣小组的人数3倍少4人,且两兴趣小组都报名的学生有8人,则只报名羽毛球兴趣小组的学生有__ 人.
您最近一年使用:0次
2023-02-01更新
|
307次组卷
|
4卷引用:河南省郑州航空巷区育人高级中学2021-2022学年高一上学期11月月考数学试题
河南省郑州航空巷区育人高级中学2021-2022学年高一上学期11月月考数学试题广东省惠州市第一中学2023-2024学年高一上学期10月第一次阶段考数学试题(已下线)专题1.3 交集、并集(2)-【帮课堂】-(苏教版2019必修第一册)(已下线)第1章 集合 章末题型归纳总结(2)-【帮课堂】高一数学同步学与练(苏教版2019必修第一册)