名校
解题方法
1 . 已知f(x)是定义在R上的奇函数,
且对任意
均有
则 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9eacff7f456194640de6801dc94799a.png)
_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a2ffb7236b18cec72e965944a2ed75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e6f37ea158078072f8bd7771119d077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa07570d61c2b610b8e5bbf93d944047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9eacff7f456194640de6801dc94799a.png)
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2 . 定义函数
,其中
表示不小于
的最小整数,如
,
.当
,
时,函数
的值域为
,记集合
中元素的个数为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab342d472fe409e73bee1be8a61774d3.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4e56d2f2ee3b7afaa8388bb0fdd806e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3788a125c33eee076151e215a9b02b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f0411aac4f1f068dc84271315c2e219.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a70e059359c17ba0f8211a9ed9a28fb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3451933e11e7110ff28b4c14c1f8c304.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/361386446d504a14471b9fd89130f1c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab342d472fe409e73bee1be8a61774d3.png)
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3 . 已知有限集
(
).如果A中的元素
(
)满足
,就称A为“复活集”,给出下列结论:
①集合
是“复活集”; ②若
,且
是“复活集”,则
;
③若
,则
不可能是“复活集”;④若
,则“复活集”A有且只有一个,且
.
其中正确的结论是__________ .(填上你认为所有正确的结论序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f3f090142bfa3bcb90ecdb3ee904e88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a272adba0f1120109824440f0e252c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12b0e3b00fe47801afb53ec56706c21a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5deeed8d5eefca600669724369678a27.png)
①集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc508cedd135c79cd3d0c5232de772cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faaab33de7a473d72438f99e0814711c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9ed17b083fe22b6f302ee13b7d181d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdd2995bc6100a2ba0ff45d28dea41b9.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b92442e3a390779ed8f0e849e65517.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9ed17b083fe22b6f302ee13b7d181d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65f477bb468a7cd2e854d8f9ad848a72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
其中正确的结论是
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名校
解题方法
4 . 已知
,则
的大小关系是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fcb030e14770eae4d232255bb70e530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
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解题方法
5 . 如果
是离散型随机变量,则
在
事件下的期望满足
其中
是
所有可能取值的集合.已知某独立重复试验的成功概率为
,进行
次试验,求第
次试验恰好是第二次成功的条件下,第一次成功的试验次数
的数学期望是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa0010cb466163db1349fc1040f6b439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90a71f2ff30791e8b210727912600096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ad71223cc853bc21bf203e7a5321f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385f040f4037e9934620d6971da08131.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
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解题方法
6 . 已知
,
是夹角为
的两个单位向量,若向量
在向量
上的投影向量为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2b0627ff70b02aa16b007dc41794dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2efe36b7c93fbd8dc63d5d1be81b8250.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
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解题方法
7 . 若函数
在区间
上有最大值,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64d1f6f459292de1002f863203ce91a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47f3fc4c2731581d2b3a4e5861e66450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-03-14更新
|
800次组卷
|
3卷引用:第十三届高二试题(B卷)-“枫叶新希望杯”全国数学大赛真题解析(高中版)
第十三届高二试题(B卷)-“枫叶新希望杯”全国数学大赛真题解析(高中版)浙江省海宁市第一中学2023-2024学年高二下学期3月阶段测试数学试题(已下线)专题08 导数及其应用--高二期末考点大串讲(人教B版2019选择性必修第三册)
名校
解题方法
8 . 已知函数
,若
恒成立,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac314162367d4565efd6a35f60a6a61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa18838a13fda4e45612c32cdf98b71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-03-14更新
|
895次组卷
|
6卷引用:第八届高二试题(B卷)-“枫叶新希望杯”全国数学大赛真题解析(高中版)
9 . 对
,定义符号函数
:当
时
;当
时
;当
时,
.记点集
,点集
,点集
围成的区域的面积为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5341631cc2c6c07404fd05cfd5f6542a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1896f977c8276c08e3cc881724a14256.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff04454d9182598682e1371d749ca35b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a6363a88ca7ac2a145b3d924d4b1379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18bb3252086e273b9eb3f017811b2ae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fb738374fe3bcb30d9d7f250298c8c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
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