名校
解题方法
1 . 正四棱锥
的展开图如图所示,侧棱
长为1,记
,其表面积记为
,体积记为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/e2bf084b-f7e5-47d8-add0-6ed4bfada543.png?resizew=202)
(1)求
的解析式,并直接写出
的取值范围;
(2)求
,并将其化简为
的形式,其中
为常数;
(3)试判断
是否存在最大值,最小值?(写出结论即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6e2867f32d3f1c3cd36cd3a11a8580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c55c1c441f921d874702a4f19ed17f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c9d76fb48eb30e7946cb96047e08206.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/e2bf084b-f7e5-47d8-add0-6ed4bfada543.png?resizew=202)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29d0adafeb8e5d088e974f1246880055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a296bb758c36b50b102a4ceb2dea42bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
(3)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29d0adafeb8e5d088e974f1246880055.png)
您最近一年使用:0次
2022-07-05更新
|
815次组卷
|
7卷引用:上海市洋泾中学2022-2023学年高二上学期期中数学试题
上海市洋泾中学2022-2023学年高二上学期期中数学试题北京一零一中学2021-2022 学年高一下学期期末考试数学模拟试题(一)湖北省郧阳中学、恩施高中、沙市中学、随州二中、襄阳三中2022-2023学年高二上学期10月联考数学试题湖北省五校(郧阳中学、恩施高中、沙市中学、随州二中、襄阳三中)2022-2023学年高二上学期10月月考数学试题(已下线)期中测试卷01(测试范围:第10-11章)-2023-2024学年高二数学单元速记·巧练(沪教版2020必修第三册)湖北省黄石市第二中学2023-2024学年高二上学期9月月考数学试题(已下线)湖南省长沙市雅礼中学2024届高三上学期月考(二)数学试题变式题19-22
名校
解题方法
2 . 某同学在学习了基本不等式和幂指对运算后,通过查阅资料发现了一个不等式“
,当且仅当
时等号成立”,请借助这个不等式,解答下题:对任意
,
恒成立,则b的取值范围____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a34725bbb0d4e83b5e0a133b9d4e730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffb237888abeb33a86e7365c2b71df61.png)
您最近一年使用:0次
2023-01-12更新
|
332次组卷
|
2卷引用:上海市浦东新区2022-2023学年高一上学期期末数学试题
名校
3 . 设
为给定的实常数,若函数
在其定义域内存在实数
,使得
成立,则称函数
为“
函数”.
(1)若函数
为“
函数”,求实数
的值;
(2)若函数
为“
函数”,求实数
的取值范围;
(3)已知
(
)为“
函数”,设
.若对任意的
,当
时,都有
成立,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2de7166b02c5153e336ac4e00708a7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee53de59dde51125e85976f971dc9d2d.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee6881a170f6ef9ed5c133b95c2f448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06333fb871875fad628fc8857b9ecbc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e73ba53ae6166fea57c9c5a0840b3cfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b93f6bffe5c39116a605ce90610cd20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1343dc0971e1525baadd631913150a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd0914dc4d4c7f75710ff460a286fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9534c14690434c2946697db1c773c22e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e412dbd20b8b7448fdcbd75fdf65ea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c765386a72600b7cb1edefeebf85178e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/506212fb4b68267990beaa3dfa46c7b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2021-05-05更新
|
1173次组卷
|
8卷引用:课时16 指数方程、对数方程-2022年高考数学一轮复习小题多维练(上海专用)
(已下线)课时16 指数方程、对数方程-2022年高考数学一轮复习小题多维练(上海专用)(已下线)考向07 对数函数-备战2022年高考数学一轮复习考点微专题(上海专用)上海市浦东新区杨思高级中学2023届高三上学期期中数学试题上海市金山区2021届高三二模数学试题上海市川沙中学2022届高三上学期第一次月考数学试题安徽省六安市第一中学2021-2022学年高二上学期开学考试数学试题辽宁省沈阳市第一二〇中学2021-2022学年高一上学期第三次质量检测数学试题(已下线)考点07 对数函数的图象与性质-备战2022年高考数学典型试题解读与变式
名校
4 . 定义域为实数集的偶函数
满足
恒成立,若当
时,
,给出如下四个结论:
①函数
的图象关于直线
对称;
②对任意实数
,关于
的方程
一定有解;
③若存在实数
,使得关于
的方程
有一个根为2,则此方程所有根之和为
;
④若关于
的不等式
在区间
上恒成立,则
有最大值.
其中所有正确结论的编号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee56be344049a075c7f714133bc3408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/132d41feaf28a5d96470d23780262b25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a089c207e39a24d0d82aa853ac2bbb8c.png)
②对任意实数
![](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/8f180b00c6356cb04cce1935d09f484a.png)
③若存在实数
![](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/8f180b00c6356cb04cce1935d09f484a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79ef63ad7b61f3fae0ac81148e7700ff.png)
④若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b974c35a0733f80ca2d7102a72c8749f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b029e85e686623cdef977b2cb1f207a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
其中所有正确结论的编号是
您最近一年使用:0次
2021-05-28更新
|
1107次组卷
|
3卷引用:考向19 不等式有解和恒成立问题-备战2022年高考数学一轮复习考点微专题(上海专用)
(已下线)考向19 不等式有解和恒成立问题-备战2022年高考数学一轮复习考点微专题(上海专用)广西柳州市2021届高三下学期三模数学(理)试题山东省青岛市第五十八中学2023-2024学年高一上学期阶段性模块检测数学试题
名校
解题方法
5 . 设
是一个定义域为
的函数.若
是
的一个非空子集,且对于任意的
,都有
,则称
是
关联的.
(1)判断函数
和函数
是否是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6535346c47957c14aa0987f66ad25d04.png)
关联的,无需说明理由.(
表示不超过
的最大整数)
(2)若函数
是
关联的,且在
上,
,解不等式
.
(3)已知正实数
满足
,且函数
是
关联的,求
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084df0babb739a54a118e5a1b6800891.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0590061eec8dc72a825b9bd309912c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da6f7c4470c8478d7c7cf1911fe375f.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7e3204e4dc47a448860779349efcedf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6535346c47957c14aa0987f66ad25d04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bfc339cf6dd66599db64fa3fa44e608.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ab85825d4a002600ca41bd3cd2ee7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77304f8a896285017e8ba2d9d5bc8d6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa774d7d80401d380a9f6b63112d4a4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee6881a170f6ef9ed5c133b95c2f448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/974296ff9c97484ef099a11d3dd23ff9.png)
(3)已知正实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b570b802d338d0d906c73fffe1a2a45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
解题方法
6 . 对于定义在R上的函数
,若存在正数m与集合A,使得对任意的
,当
,且
时,都有
,则称函数
具有性质
.
(1)若
,判断
是否具有性质
,并说明理由;
(2)若
,且
具有性质
,求m的最大值;
(3)若函数
的图像是连续曲线,且当集合
(a为正常数)时,
具有性质
,证明:
是R上的单调函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d200a7afe1e011713e14886a6887e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11b5a67de6c52bc02b4c2a5fdee81234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/040c65383c37f33033de5d9760cf8d7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7d767aea324236dfb52dc4618979bd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8327be2dd861aba12773e281c6f3582.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1452b4b627eb5259704a7eb3ffa3113.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b923078510697d5f7f9ea392eb76dd9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e59905a17fbf584249c3d1f6ebf576.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d4e6d66cb4062c3949923959f04dbb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2501a1216ce5aa644aa139a0fc99678f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
名校
解题方法
7 . 若函数
在定义域中存在
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
,使得
成立,则称该函数具有性质p.
(1)判断以下两个函数是否具有性质p:
①
,
;
②
,
.
(2)若函数
,(其中
,
)具有性质p,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e1b2fc3d27f0953c953a4cbad2c199.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2698a5500308daa68bc4c38d5caab41.png)
(1)判断以下两个函数是否具有性质p:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/372992de0f40363c40726b24ad62a648.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cd7cfd08efb8a77a69ba7416a09c921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37440b57fe2ffc13f2a873e38f55d29b.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb1a51a66c1efae57f99c50848904820.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83f15005a1f9a3447092b09ba5b7afdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
2022-04-21更新
|
622次组卷
|
2卷引用:上海市上海中学2021-2022学年高一下学期期中数学试题
解题方法
8 . 某学校举办毕业联欢晚会,舞台上方设计了三处光源.如图,
是边长为6的等边三角形,边
的中点
处为固定光源,
分别为边
上的移动光源,且
始终垂直于
,三处光源把舞台照射出五彩缤纷的若干区域.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/26/b6550c17-ac14-4a09-99aa-dbac9608a71b.png?resizew=170)
(1)当
为边
的中点时,求线段
的长度;
(2)求
的面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9b288c48c73463a2f214f02b6952a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d54431bbb28ebd98db5c1dc6083a75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce6c0e9de83f2e64ae33609fc08459d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907d5147cea4c9ce855074864fe54506.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/26/b6550c17-ac14-4a09-99aa-dbac9608a71b.png?resizew=170)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68d65ed39a9dfd09c5b907b5de6b144.png)
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名校
9 . 已知非空集合A,B满足:
,
,函数
,对于下列两个命题:①存在唯一的非空集合对
,使得
为偶函数;②存在无穷多非空集合对
,使得方程
无解.下面判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95321d0e551daa25104d32157249c23d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfcd8c2e4995075ea19475bcb1f6366c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41be4f4fbf21555f325caf280c392c00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41be4f4fbf21555f325caf280c392c00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/033f2c2bee683bec51fd69e2640ca5a0.png)
A.①正确,②错误 | B.①错误,②正确 |
C.①、②都正确 | D.①、②都错误 |
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2021-12-23更新
|
938次组卷
|
8卷引用:上海市杨浦区2022届高三上学期一模数学试题
上海市杨浦区2022届高三上学期一模数学试题上海市青浦高级中学2023届高三上学期期中数学试题上海市青浦高级中学2022-2023学年高一上学期12月质量检测数学试题(已下线)5.2函数的基本性质(作业)(夯实基础+能力提升)-【教材配套课件+作业】2022-2023学年高一数学精品教学课件(沪教版2020必修第一册)(已下线)专题3.1 模拟卷(1)-2022年高考数学大数据精选模拟卷(新高考地区专用)上海市七宝中学2023届高三下学期开学考试数学试题上海市静安区第六十中学2024届高三上学期期中数学试题(已下线)考向04 函数及其表示(重点)
10 . 如果存在非零常数
,对函数
定义域内的任意
,都有
成立,则称函数
为“Z函数”.
(1)判断
和
是否为“Z函数”,并说明理由;
(2)证明:定义域为
的严格单调函数一定是“Z函数”;
(3)高斯函数是
为“Z函数”,求正实数
的最小值,并证明.(
表示不超过
的最大整数)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54cc216ccef62b1cee472d82f956c03c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13c5c7f3eceb20eebb03c32370fa407b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369d1797a6f760d5a6ba39c079fce3be.png)
(2)证明:定义域为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(3)高斯函数是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7e3204e4dc47a448860779349efcedf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ab85825d4a002600ca41bd3cd2ee7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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