1 . 二维码是一种利用黑、白方块记录数据符号信息的平面图形.某公司计划使用一款由
个黑白方块构成的
二维码门禁,现用一款破译器对其进行安全性测试,已知该破译器每秒能随机生成
个不重复的二维码,为确保一个
二维码在1分钟内被破译的概率不高于
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73cffdf8bfc2c00f236681e3126c14af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/767f5a4746f04db68386fac3970b1ed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8b8497ab554fa6cd52ddbef669d1737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/767f5a4746f04db68386fac3970b1ed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70322c26e305fd6d078aecd54c4e2b4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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解题方法
2 . 设函数
的定义域为
,对于函数
图象上一点
,若集合
只有1个元素,则称函数
具有性质
.下列函数中具有性质
的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b4f86e48e2b0d63c1865c60ed1e4d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a901ef0e56e25ddffbda301652ca403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f4220560ed0c8cbe694e6e6e35260af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19448f903f750b2fe29ede0388086a92.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc77a035669805b50133efe86e5a756a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19448f903f750b2fe29ede0388086a92.png)
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解题方法
4 . 已知符号函数
,则函数
的零点个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1609fd6451101ac2a9095678c4ae2bf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ee53f94b7350568f16f33975fd3fc35.png)
A.1 | B.2 | C.3 | D.4 |
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5 . 华人数学家李天岩和美国数学家约克给出了“混浊”的数学定义:由此发展的混浊理论在生物学、经济学和社会学领域都有重要作用,在混沌理论中,函数的周期点是一个关键概念,定义如下:设
是定义在R上的函数,对于
,令
,若存在正整数k使得
,且当
时,
,则称
是
的一个周期为k的周期点.若
,写出一个
周期为1的周期点_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851eae00e3369068e33a7e6420483883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19fec750c3c439e2c790424247d2ced4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/690de409a732cf0c4b4d7676d5a2aa2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d08cebe1eff5e0b462372112beb1595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5065dc1e7a309bf91ef8d348b90c58da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab706819203373741ad745790fd5a96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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6 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66fc1adda38fc8152059283678223dca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-24更新
|
1474次组卷
|
2卷引用:北京市海淀区人大附中2024届高三下学期统练2(3月月考)数学试题
名校
解题方法
7 . 已知
,点
在曲线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b4dba61009dd424c005321c14ec712.png)
上,若线段
与曲线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a463744f6f85de0ff99bc2e3073b9e23.png)
相交且交点恰为线段
的中点,则称
为曲线
关于曲线
的一个关联点.记曲线
关于曲线
的关联点的个数为a,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8748dc55e2f45bc37fc4d84d7310f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b4dba61009dd424c005321c14ec712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098777605c6338e4cbe685158203e755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a463744f6f85de0ff99bc2e3073b9e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ab5c891a23163228cef84b9b6c81b6f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
9 . 函数
,
,
的零点分别为
,
,
,则
,
,
,的大小顺序为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18ff7cff83f5a822aa46014d1b5a308f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0130e26455c7372b3dcbab2b1a02255.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d307f8bcf5b738f81d4ae027248c61b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-19更新
|
649次组卷
|
3卷引用:北京市海淀区北京一零一中2023-2024学年高三下学期统考四(开学考)数学试题
北京市海淀区北京一零一中2023-2024学年高三下学期统考四(开学考)数学试题(已下线)北京市第四中学2023-2024学年高三下学期阶段性测试(零模)数学试题北京市丰台区2023-2024学年高一上学期期末练习数学试卷
10 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a27f8713fe2a4f931806dc33741e2339.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52cda65d6597fd80361b9448bb998358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a27f8713fe2a4f931806dc33741e2339.png)
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