1 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727088002886910f1b8bff4492c8f453.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0fa0035770a41d223aadf0a1c5e186b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727088002886910f1b8bff4492c8f453.png)
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2 . 借助信息技术计算
的值,我们发现当
时
的底数越来越小,而指数越来越大,随着
越来越大,
会无限趋近于
(
是自然对数的底数).根据以上知识判断,当
越来越大时,
会趋近于__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d285a6a3ca6b2b04d5397183436b5b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62dbd49de67f043222d84023bbc870fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b3f779c42398b1158faa9f9124ed13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b3f779c42398b1158faa9f9124ed13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11204e2fb6e560bf7a4ca26eaebfc526.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda3a356637a488a68626a6427b34a43.png)
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名校
解题方法
3 . 随着自然语言大模型技术的飞速发展,ChatGPT等预训练语言模型正在深刻影响和改变着各衍各业.为了解决复杂的现实问题,预训练模型需要在模拟的神经网络结构中引入激活函数,将上一层神经元的输出通过非线性变化得到下一层神经元的输入.经过实践研究,人们发现当选择的激活函数不合适时,容易出现梯度消失和梯度爆炸的问题.某工程师在进行新闻数据的参数训练时,采用
作为激活函数,为了快速测试该函数的有效性,在一段代码中自定义:若输
的
满足
则提示“可能出现梯度消失”,满足
则提示“可能出现梯度爆炸”,其中
表示梯度消失阈值,
表示梯度爆炸间值.给出下列四个结论:
①
是
上的增函数;
②当
时,
,输入
会提示“可能出现梯度爆炸”;
③当
时,
,输入
会提示“可能出现梯度消失”;
④
,输入
会提示“可能出现梯度消失”.
其中所有正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecde12edca0ade95e8d0aab1c64f8087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d477d18b0657ea38ad08e58dc58b1a52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0057ee3b3a1f2f3ca36ac44a2cb6432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c38ada7012b4fd07e9d345c87f346157.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ccd7af9298cd5ff19d8866fedb42ec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02630bf8ea75569f293250ab22ef0c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df9ea430e352c6a20b56e6bf96cf20e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25687a540dc96342a51dbc6daf36ee4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
其中所有正确结论的序号是
您最近一年使用:0次
2023-12-18更新
|
1051次组卷
|
4卷引用:北京市海淀区北大附中预科部2024届高三上学期12月阶段练习数学试题
北京市海淀区北大附中预科部2024届高三上学期12月阶段练习数学试题2024届山西省平遥县第二中学校高三冲刺调研押题卷数学(三)(已下线)数学(新高考卷02,新题型结构)(已下线)专题8 函数新定义问题(过关集训)(压轴题大全)
名校
4 . 方程
的解为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6ee67769ab3df662b9689c7196b16d3.png)
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解题方法
5 . 已知函数
的图象是一个中心对称图形,它的对称中心为______ ;函数
的图象与函数
图象的交点分别为
,
,,…,
(
为正整数),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd687db1125db69cae4ed3526096aee1.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb6392ee3015ef8f9368dffd1331677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81d9ba5eadd1f48127d02c7731bf7626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56720e2f2b0ddd72156da495923698da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2852ae85cfcc804b3192ea8543c88938.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c9fcb59a6fd0b9858e01a7079767a86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd687db1125db69cae4ed3526096aee1.png)
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名校
6 . 已知实数x,y满足
,则
的最小值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86843f0a1d04aa324bfc40c5665eb74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3f80052d4c5c444823f3af8acb92f90.png)
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2022-12-26更新
|
1957次组卷
|
7卷引用:2022年9月《浙江省新高考研究卷》(全国I卷)数学试题(四)
2022年9月《浙江省新高考研究卷》(全国I卷)数学试题(四)江苏省五校2022-2023学年高一上学期1月期末联考数学试题河南省信阳高级中学2022-2023学年高一上学期期末考试数学试题(已下线)第四章 幂函数、指数函数与对数函数(单元重点综合测试)-速记·巧练(沪教版2020必修第一册)河南省信阳市信阳高级中学2023-2024学年高一上学期12月月考数学试题江苏省苏州市苏州高新区第一中学教育集团2023-2024学年高一上学期12月自主学习独立作业数学试卷(已下线)压轴题03不等式压轴题13题型汇总-2
7 . 函数
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffd29b2e8192d673308bdf8d5cb6cab.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/457e73eae03ba8b81aac24174ef7c7a2.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0ae9bb200adacc2815da120286fc16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5992be20fc513ca5b90ec75f6f5a839f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffd29b2e8192d673308bdf8d5cb6cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/457e73eae03ba8b81aac24174ef7c7a2.png)
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2022-02-17更新
|
725次组卷
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3卷引用:湖南省衡阳市2021-2022学年高一上学期期末数学试题
8 . 已知函数
,
,其中
表示不超过x的最大整数.例如:
,
,
.①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/820d4c7316f9c3a7592f79f3643536fc.png)
______ ;②若
对任意
都成立,则实数m的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3073b941a2d6624fc6324f80bfe0e6f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37440b57fe2ffc13f2a873e38f55d29b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ae4ee70c548e841fd7ceeac3250b5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/906d56fc8fcf6f56671376f442f429ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032635d4e60381fb37c8f4e8f12805f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/820d4c7316f9c3a7592f79f3643536fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd2c4c3684f45ed37c9e95b476525bc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37440b57fe2ffc13f2a873e38f55d29b.png)
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9 . 对于函数
中的任意
有如下结论:
①
; ②
;
③
; ④
;
⑤
; ⑥
.
当
时,上述结论正确的是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9f58d4591d668b4bc32fae4faab8298.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7708640b13e4a01faeaf9e33b50d4a9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4e9b0e8693d64d9a59287e4802c535a.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c056c7232b621d0997f452eed57ce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698cf53f76a1d637dfe2732d0a866eec.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60025fe6bbfd7645844c9e3e7a5871e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e01f1c4597eff0d38ce62014889e952c.png)
当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679da8a975f3a340f456d205b9da9a42.png)
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