名校
1 . 有甲乙两个骰子,甲骰子正常且均匀,乙骰子不正常且不均匀,经测试,投掷乙骰子得到6点朝上的概率为
,若投掷乙骰子共6次,设恰有3次得到6点朝上的概率为
,
是
的极大值点.
(1)求
;
(2)若
且等可能地选择甲乙其中的一个骰子,连续投掷3次,在得到都是6点朝上的结果的前提下,求这个骰子是乙骰子的概率;
(3)若
且每次都等可能地选择其中一个骰子,共投掷了10次,在得到都是6点朝上的结果的前提下,设这10次中有
次用了乙骰子的概率为
,试问当
取何值时
最大?并求
的最大值(精确到0.01).(参考数据
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1f109f79547d6ae0d94339e689e8f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3606c4a853a6a34cb7f33bea81b15a1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1f109f79547d6ae0d94339e689e8f7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3606c4a853a6a34cb7f33bea81b15a1f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098e663b79254b0a2e0e00f92bd14b8d.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098e663b79254b0a2e0e00f92bd14b8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97dd472fe7779d5c729aa8dedd99190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97dd472fe7779d5c729aa8dedd99190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97dd472fe7779d5c729aa8dedd99190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdcbd28fefa404513768b10747e2291a.png)
您最近一年使用:0次
2024·江苏连云港·模拟预测
名校
解题方法
2 . 已知函数
(
,且
).
(1)若
,求函数
的最小值;
(2)若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b02f7eb75c4920528be28f08541c276.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ffecb03c47be920254c4ccffa5b222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655b06387179d53c1e474fcfcb408b1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/467ebe7ef361ddf4cfab29baeefc66aa.png)
您最近一年使用:0次
名校
3 . 在棱长为2的正方体
中,点
满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167c13c894f6d448cda166ac5f2a81e7.png)
A.当![]() ![]() ![]() ![]() |
B.任意![]() ![]() |
C.存在![]() ![]() ![]() ![]() |
D.当![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
4 . 已知函数
在
上为奇函数,
,
.
(1)求实数
的值;
(2)若对任意
,
,不等式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74a761ce7b2ab701376593bda11531de.png)
都成立,求正数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19bbe38c0bfa0dcbb845a38777063b42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5caabda288fc01cc168938846eec5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74a761ce7b2ab701376593bda11531de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff98574f62933ec7220fd8e7b091458.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2024-02-04更新
|
484次组卷
|
2卷引用:江苏省东海高级中学2023-2024学年高一下学期第一次检测数学试题
23-24高三上·北京西城·期末
名校
解题方法
5 . 给定正整数
,已知项数为
且无重复项的数对序列
:
满足如下三个性质:①
,且
;②
;③
与
不同时在数对序列
中.
(1)当
,
时,写出所有满足
的数对序列
;
(2)当
时,证明:
;
(3)当
为奇数时,记
的最大值为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2477167a02872167b2a3760f09d6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dc25d4213ca2eadce49e6d8ba805e15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b730e2023809495f2bd7fbf48f07a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca986e62ec3a6e50e4e2cad639aa9201.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd869b784314b8278f5d144b2d3a9fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698c4d4e50062b4a7dd70fe1b4ab4fd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/302391681aa37ac20d6f533dbae9e137.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a215612787e43d28bfebc840c3903b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a60302649eb940748da818199e55da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/241d587c2e6f2f109a4e41b79f1c800f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926c16dd072c9ff8a560b003cfb47053.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4546b12ff89d1599427da82294afc09b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4546b12ff89d1599427da82294afc09b.png)
您最近一年使用:0次
2024-01-19更新
|
2116次组卷
|
7卷引用:江苏省连云港高级中学2023-2024学年高二下学期第一次月考数学试卷
江苏省连云港高级中学2023-2024学年高二下学期第一次月考数学试卷(已下线)北京市西城区2024届高三上学期期末数学试题北京市西城区2024届高三上学期期末数学试题(已下线)高三数学开学摸底考 (北京专用)2024年普通高等学校招生全国统一考试数学冲刺卷二(九省联考题型)江西省南昌市第二中学2024届高三“九省联考”考后适应性测试数学试题(四)广东省深圳市外国语学校2024届高三教学情况测试(一)数学试题
名校
6 . 已知函数
,若方程
有四个不等的实根
,
,
,
,且
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b2918f630b94549d2bf89adb421c19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb2e46f49adba6036e2624639a1b966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aba4a5fa1464a5cb5efdc3b8792de3c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-11-02更新
|
1298次组卷
|
4卷引用:江苏省连云港市新海高级中学2023-2024学年高一上学期一月学情检测数学试题
7 . 已知函数
.
(1)当
为何值时,
轴为曲线
的切线;
(2)用
表示
中的最大值,设函数
,试讨论函数
零点的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84eddb527961f76a269a66770b11e2e0.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ac68482ffb69f09e33a5b641565801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ba852dab870e4b1308f9bebf4cf9aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
您最近一年使用:0次
2023-06-27更新
|
294次组卷
|
2卷引用:江苏省连云港市2022-2023学年高二下学期期末数学试题
8 . 在边长为4的等边
中,D为BC边上一点,且
.
(1)若P为
内部一点(不包括边界),求
的取值范围;
(2)若AD上一点K满足
,过K作直线分别交AB,AC于M,N两点,设
,
,
的面积为
,四边形BCNM的面积为
,且
,求实数k的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff400c098ae6bf6abd24651a5a21114e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/27/adc81050-351a-4689-b3fa-8b01cb4ad990.png?resizew=145)
(1)若P为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bea2ee6084ccda017840830036dddc23.png)
(2)若AD上一点K满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edf44511eeab5e9a787677575306530f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9545f42dc3bb78dabdb73891f2e4a69c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/301af152850e2c795bd385d0d10836f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98013a5042685a1db94249e70c62c09a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d835ac43e4e158d2cab981b23996a1.png)
您最近一年使用:0次
9 . 利用“
”可得到许多与n(
且
)有关的结论,则正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4123b4b9e76a410c64a08c0a8c134664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
10 . 已知函数
且
.
(1)设
,讨论
的单调性;
(2)若
且
存在三个零点
.
1)求实数
的取值范围;
2)设
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1f26cc366989b203c047e13db8de54d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47352a6ebe48c4d92e32275a4f32dc4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7803d86067299198e6d14b0c83947f58.png)
您最近一年使用:0次
2022-12-21更新
|
5085次组卷
|
10卷引用:江苏省连云港市赣榆智贤中学2023-2024学年高三上学期9月模拟考试数学试题
江苏省连云港市赣榆智贤中学2023-2024学年高三上学期9月模拟考试数学试题广东省广州市2023届高三一模数学试题河北省衡水市第十三中学2023届高三上学期1月月考数学试题四川省南充高级中学2023届高考模拟检测(七)理科数学试题江苏省南通市海安高级中学2023届高三下学期一模数学试题江苏省盐城市亭湖高级中学2022-2023学年高三上学期期末数学试题天津市蓟州区第一中学2024届高三上学期第三次学情调研数学试题辽宁省辽东十一所重点高中联合教研体2024届高三高考适应性考试模拟数学试题(已下线)(新高考新结构)2024年高考数学模拟卷(三)(已下线)专题3 导数与函数的零点(方程的根)【练】