解题方法
1 . 如图,在矩形
中,过边
上的点
分别作
的垂线,分别交
于
,过
边上点
作
的垂线,分别交
于
,
,则集合
中的元素个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5425108c557f0f21474c045334f97d9c.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/b6029062c6a3c9b36225574d393489db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb45ab3ba0ec44779c85e32719f5d60d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee50575e3ebd56c4f46dd0bbf8e55d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4386d82eb8d40b0080aea374ecf6962c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9baa6286e8d3fee65fa15af683a227ac.png)
A.2 | B.4 | C.6 | D.8 |
您最近一年使用:0次
2 . 已知向量
,
,定义运算
,同时定义
.
(1)若
,求实数
的取值集合;
(2)已知
,求
;
(3)已知定义域为
的函数
满足
为奇函数,
为偶函数,且
时,
,是否存在实数
,使
?若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ec6dba44a83ae69146c26a2eec325c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66717aa3e7a771427c1d4433c77a5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4817c9821c3c5268e665a3ebcfe2e9cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/153f8261059b286d175e53adb666d0bd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e993a236a70e4a094013a28c07079f84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/237b1a6f3e6ee0ef92b4aef7bffe58ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5285f8cfbab2baf73267d7649a58ac.png)
(3)已知定义域为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91340ce6d32493c33527a32c2d448896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffde73ff7d3cd5125eb8d8a17a9f01c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/994dcf841d356002fcebaed37497013c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de03de9f4bea859252f0158b32acf378.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bb0b435b3f1a00ee1df0d02384d6e57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
解题方法
3 . 如图,在
中,边
上的点
满足
,边
上的点
满足
,线段
上的点
满足
,点
为线段
上任意一点(不包括端点),连接
并延长交直线
于点
,若
,则实数
的取值可以为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f7b7aef85de2d4babbc025d4329007.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a72599cfdfa9cd0a491b831100a2ede.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ecdfca7c17c5598214b977a090b1f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67c015d99f2677951bdcd0447240ef93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79f8f4051b5dbc94620f44d93a862d28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.![]() | C.![]() | D.1 |
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4 . 已知函数
,函数
为偶函数.
(1)证明:
为定值.
(2)若函数
在
内存在零点,且零点为
,记
,请写出X的所有可能取值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9dc88fbdad5cf2ad6d8ce522b93164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2099a1899917e027347f06b7234139d6.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/544f7a7bec63742ebe6bd0608b0afeb6.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4246b94bd716059eddece7c7391b4858.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e2b2d3db0182fbefdd050701c581dca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c15f08575f8b4fce9de87ac2ec5fb8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b80d63a2886cb178b892dca61e5b50.png)
您最近一年使用:0次
2024-04-20更新
|
194次组卷
|
2卷引用:江西省部分高中学校2023-2024学年高一下学期联考数学试卷
5 . 为弘扬中华民族优秀传统文化,春节前后,各地积极开展各种非遗展演、文化庙会活动.某地庙会每天8点开始,17点结束.通过观察发现,游客数量
(单位:人)与时间
之间,可以近似地用函数
(
,
)来刻画,其中
,8点开始后,游客逐渐增多,10点时大约为350人,14点时游客最多,大约为1250人,之后游客逐渐减少.
(1)求出函数
的解析式;
(2)腊月二十九,为了营造幸福祥和的氛围,该庙会筹办方邀请本地书法家书写了950幅福字,计划选一时段分发给每位游客,为了保证在场的游客都能得到福字,应选择在什么时间赠送福字?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4700c7e23f2e5d2ca5d6c3b29e7fae06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7c9e46448bc791c441ca02d8f4508eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8679c9c89218d115e443f87d6f13c866.png)
(1)求出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)腊月二十九,为了营造幸福祥和的氛围,该庙会筹办方邀请本地书法家书写了950幅福字,计划选一时段分发给每位游客,为了保证在场的游客都能得到福字,应选择在什么时间赠送福字?
您最近一年使用:0次
名校
6 . 下列说法正确的是( )
A.设![]() ![]() ![]() ![]() |
B.设![]() ![]() ![]() ![]() ![]() |
C.设![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-04-02更新
|
601次组卷
|
5卷引用:江西省宜春市上高中学2023-2024学年高一下学期第二次月考数学试卷
江西省宜春市上高中学2023-2024学年高一下学期第二次月考数学试卷陕西省西安国际港务区铁一中陆港高级中学2023-2024学年高一下学期第一次月考数学试卷(已下线)高一下学期期中考试--重难点突破及混淆易错规避(苏教版2019必修第二册)河南省新乡市封丘县第一中学2023-2024学年高一下学期期中数学试题(已下线)第二章 平面向量及其应用章末重点题型复习(2)-同步精品课堂(北师大版2019必修第二册)
名校
7 . 如图,学校新校区有两块空闲的扇形绿化草地
(圆心角为
)和
(圆心角为
),
为圆的直径.在劣弧
和劣弧
上分别取点
和点
,且
为圆的直径,分别设计出两块社团活动区域,其中一块为矩形区域
,另一块为矩形区域
,已知圆的直径
米,点
在
上、点
在
上、点
和
在
上、点
在
上.
达到最小值时,取得最佳观赏效果.请给出最佳观赏效果的设计方案?
(2)学校本周将在矩形区域
进行社团活动展示,现需要在矩形区域内铺满地垫,并在矩形区域四周放置围栏.铺设的地垫每平方米20元,围栏每米10元,则场地布置的费用最高不超过多少元?
(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a77343ecde1c2665df291761b6563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf126cfed85fa9b7720ec6f7b0008dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b670c6d27ce68f17ac12c4efa1933db1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389bc3f29c058067e06e0d0d2be399da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6579b69ecde9f9829c8656c8574aac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.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/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49fafa4da7d33b76b4af1d3e4020e08.png)
(2)学校本周将在矩形区域
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b670c6d27ce68f17ac12c4efa1933db1.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85fd58257498a747d6a742b98f06f896.png)
您最近一年使用:0次
2024-04-02更新
|
434次组卷
|
3卷引用:江西省南昌市第二中学2023-2024学年高一下学期月考(一)数学试题
解题方法
8 . 定义:对于非常数函数,若
,
,
,则称
是“米函数”.已知函数
是“米函数”,则ω的最小值为
您最近一年使用:0次
名校
解题方法
9 . 下列函数中均满足下面三个条件的是( )
①
为偶函数;②
;③
有最大值
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b61adc4745f283e4072ddd762f92ffe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-03-31更新
|
403次组卷
|
2卷引用:江西省南昌市第十九中学2023-2024学年高一下学期3月月考数学试题
名校
10 . 扇形拼盘是一种可以在宴会或聚会中展示美食的独特器具,它不仅可以为食物增添美观的视觉效果,还可以使每个人轻松地享用到不同的食物.已知某不锈钢扇形拼盘如图所示,其示意图可以看成是由中间的一个直径为24cm的圆,四周是8个相同的扇环形组成的,寓意“八方进宝”.若每个扇环形的周长为32+10πcm,则每个扇环形的面积为______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ce13774b09ff2edddaf21a072cf60a.png)
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2024-03-25更新
|
179次组卷
|
3卷引用:江西省部分高中学校2023-2024学年高一下学期联考数学试卷