名校
解题方法
1 . 设函数
.
(1)求
的值和
的解析式;
(2)是否存在非负实数
,使得
恒成立,若存在,求出
的值,若不存在,请说明理由;
(3)定义
,且
(
),
①当
时,求
的解析式;
②已知下列正确的命题:当
(
,
)时,都有
恒成立;对于给定的正整数
,若方程
恰有
个不同的实数根,确定
的取值范围,若将这些根从小到大排列组成数列
(
),求数列
所有
项的和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a31712c94832db2eb6ede22d263d7bae.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e335d1d1f5754d72aece814a55cc2841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4909270f94e2c30e489b2d51499012a.png)
(2)是否存在非负实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85fb3099a99b9397809ac06981589fc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)定义
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b597680aefd3635872a7adaebb7d3b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ec64aa8b89793ae9e0b84c1b3974d8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a70b95c53fb6655721e2a8c61f5c2c.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00c80887660b9043931cfac788514b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46261412955df2580730200e19f5ff91.png)
②已知下列正确的命题:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b83a52167b4e0ba9c1a96dfe635c6783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca32309e7c22b53659f849edbcb3fe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b7cd4b73d476e71d831fa9f86477641.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca5e27e05ca489ccd7dbf3e81ae3325.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf87092f371c316b415779cf5a33fed2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e77d6f15137ae5d98b0d546672b6f68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086e9b14c35ef3c57b20f5e952ebf9c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/510d9423fd34558d0ffcb75e98524de8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086e9b14c35ef3c57b20f5e952ebf9c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e77d6f15137ae5d98b0d546672b6f68.png)
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名校
2 . 对于函数
,
,设区间
是
上的一个子集,对于区间
上任意的
,
,
,当
时,如果总有
,则称函数
是区间
上的
函数.
(1)判断下列函数是否是定义域上的
函数:①
,②
;
(2)已知定义域上的严格增函数
也是定义域上的
函数,试问:
是否是定义域上的
函数?若是,请给出证明;若不是,请说明理由;
(3)若函数
为区间
上的
函数,证明:对于任意的
,
和任意的
,总有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.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/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c86dd7dc05984b4e54d5f91d60f21d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(1)判断下列函数是否是定义域上的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6342e0a5a8942cfb1cf535ceb2c50d.png)
(2)已知定义域上的严格增函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/135bcf6d7f7c04641823b90f1d038eee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad7d1d5b0d1d62c83386d87825f789e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eb6bf23a5a12e1ba5413594d7b1a57c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a4f386c18fb52c1d57b532d138bc74e.png)
您最近一年使用:0次
2022-12-18更新
|
883次组卷
|
4卷引用:上海市进才中学2021-2022学年高一上学期期末数学试题
上海市进才中学2021-2022学年高一上学期期末数学试题(已下线)上海高二下学期期末真题精选(压轴60题35个考点专练)-【满分全攻略】2022-2023学年高二数学下学期核心考点+重难点讲练与测试(沪教版2020选修一+选修二)辽宁省大连市第二十四中学2023届高三高考适应性测试(一)数学试题(已下线)必修第一册综合检测-人教A版(2019)必修第一册单元测试能力卷
名校
解题方法
3 . 已知数列{an}满足
,对于函数f(x)=x|x|,定义F(n)=
.
①若{an}为等比数列,则F(n)>0恒成立;
②若{an}为等差数列,则F(n)>0恒成立.
关于上述命题,以下说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a61be60b2ec182d750817d2785cb887.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cadebcc0c7d79ff0b9a876f96f491fd.png)
①若{an}为等比数列,则F(n)>0恒成立;
②若{an}为等差数列,则F(n)>0恒成立.
关于上述命题,以下说法正确的是( )
A.①②都正确 | B.①②都错误 |
C.①正确,②错误 | D.①错误,②正确 |
您最近一年使用:0次
2022-11-11更新
|
640次组卷
|
2卷引用:上海市建平中学2021-2022学年高二上学期10月月考数学试题
4 . 定义
,A中元素称为x奇函数;
,B中元素称为y奇函数;
,C中元素称为双偶函数.例如∶
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede41d28405605d0b035108fadee0cd1.png)
(1)在下面横线上填下列词的一个∶ “真包含” “真包含于”“相等”,A∩B C,并说明理由;
(2)若所有项系数均为正数的多项式函数g(x,y),满足g(x,y)∈C,且g(x,y)=g(y,x),则可以找到关于t的多项式函数h(t),使得当x>0、y>0时,g(x,y)≥h(xy), 且等号当x= y>0时取到,求这样的h(t);
(3)证明∶对任何函数f(x,y),x∈R,y∈R,均可得到如下分解∶
,其中
为x奇函数,
为y奇函数,
为双偶函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fea6d93cb5d605d21fe86b3a92796828.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35bd194f1a72c7faeca9f2dec1f9c647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8fe01caeda263d0069d2c5fd31085b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1fdbbc4dcf07441a069f1fa481741d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14c988035a9522f8e8e7fda10038d07e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede41d28405605d0b035108fadee0cd1.png)
(1)在下面横线上填下列词的一个∶ “真包含” “真包含于”“相等”,A∩B C,并说明理由;
(2)若所有项系数均为正数的多项式函数g(x,y),满足g(x,y)∈C,且g(x,y)=g(y,x),则可以找到关于t的多项式函数h(t),使得当x>0、y>0时,g(x,y)≥h(xy), 且等号当x= y>0时取到,求这样的h(t);
(3)证明∶对任何函数f(x,y),x∈R,y∈R,均可得到如下分解∶
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94d60bc39fc16f8695207d73101581f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07fd0c1e0ec352f8a9ce8b0f92ac95e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b72607614bd7bd527880556b91b41e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b15b2c29613f899e609962bebb393908.png)
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名校
解题方法
5 . 已知函数
的定义域为D,若存在实数a,b,对任意的
,有
,且使得
均成立,则函数
的图像关于点
对称,反之亦然,我们把这样的函数
叫做“
函数.
(1)已知“
函数”的图像关于点
对称,且
时,
;求
时,函数
的解析式;
(2)已知函数
,问
是否为“
函数”?请说明理由;
(3)对于不同的“
函数”
与
,若
、
有且仅有一个对称中心,分别记为
和
,
①求证:当
时,
仍为“
函数”;
②问:当
时,
是否仍一定为“
函数”?若是,请说明理由;若不一定是,请举出具体的反例.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d877b154b2c2f42ebc9bb4c85faef9f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5ca6a673a07fe420e017b3e24d3887.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4370226c16822cf9bbc390444c581bf.png)
(1)已知“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4370226c16822cf9bbc390444c581bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f114df5ceabdb7e5fd3fdad4eaf056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c7b69e93488fcd2a195cb9793e94fc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2d53e84446ab2d482dd8cdfeb27b402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df4cf16e39bff4aa2d482c90411d5ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/129da6ef5f007a81bcfa5847fda1ed40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4370226c16822cf9bbc390444c581bf.png)
(3)对于不同的“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4370226c16822cf9bbc390444c581bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31d496307b8bab026701a3293ccde58a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ea5dc4754e7173e6b6eed461c0e490.png)
①求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a4480988244a9d04ec293975db2cc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cfcc567b95a320abcb25509923cd001.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4370226c16822cf9bbc390444c581bf.png)
②问:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d9712c3b25f3030e166e136d3a4686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cfcc567b95a320abcb25509923cd001.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4370226c16822cf9bbc390444c581bf.png)
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名校
6 . 已知数列
满足:当
时,
;当
时,
;对于任意实数
,则集合
的元素个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa01f03fb074bff35b35e07047d11b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d1dd3248ea16e3d66c3528160d7cac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31bd42f8e3f220a7b1c6f6945e73bc10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2fbc5238724ee8778fdaf6989a09db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a74c23929952b2f37eb82d5c4c5d4f7.png)
A.0个 | B.有限个 | C.无数个 | D.不能确定,与![]() |
您最近一年使用:0次
2021-11-23更新
|
955次组卷
|
4卷引用:上海市上海中学2022届高三上学期期中数学试题
上海市上海中学2022届高三上学期期中数学试题上海市民办南模中学2022届高三下学期3月月考数学试题(已下线)专题06数列必考题型分类训练-2(已下线)专题6-1 数列函数性质与不等式放缩(讲+练)-1
7 . 如图,ABCD与ADEF是两个边长为1的正方形,它们所在的平面互相垂直.
![](https://img.xkw.com/dksih/QBM/2021/11/21/2856054245351424/2856972157730816/STEM/75c868fe-c28c-46ff-a23d-ccb61c6c2430.png?resizew=219)
(1)求异面直线AE与BD所成角的大小;
(2)在线段BD上取点M,在线段AE上取点N,且
,
,试用x,y来表示线段MN的长度;
(3)在(2)的条件下,求MN长度的最小值,并判断当MN最短时,MN是否是异面直线AE与BD的公垂线段?
![](https://img.xkw.com/dksih/QBM/2021/11/21/2856054245351424/2856972157730816/STEM/75c868fe-c28c-46ff-a23d-ccb61c6c2430.png?resizew=219)
(1)求异面直线AE与BD所成角的大小;
(2)在线段BD上取点M,在线段AE上取点N,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da39d66009576e7d0d664d1faee3e389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea8fb90cd939a5495d572c9628df968.png)
(3)在(2)的条件下,求MN长度的最小值,并判断当MN最短时,MN是否是异面直线AE与BD的公垂线段?
您最近一年使用:0次
21-22高二上·上海浦东新·期中
名校
8 . 已知正方体
.
到平面
的距离;
(2)在一个棱长为10的密封正方体盒子中,放一个半径为1的小球,任意摇动盒子,求小球在盒子中不能达到的空间的体积;
(3)在空间里,是否存在一个正方体,它的定点
到某个平面的距离恰好为0、1、2、3、4、5、6、7,若存在,求出正方体的棱长,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7935fe3125f247b7bea4f065ce9ad985.png)
(2)在一个棱长为10的密封正方体盒子中,放一个半径为1的小球,任意摇动盒子,求小球在盒子中不能达到的空间的体积;
(3)在空间里,是否存在一个正方体,它的定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6cea2994db5fd94ec9193c76a4f3abb.png)
您最近一年使用:0次
2021-11-14更新
|
1900次组卷
|
4卷引用:上海市华东师范大学第二附属中学2021-2022学年高二上学期期中数学试题
(已下线)上海市华东师范大学第二附属中学2021-2022学年高二上学期期中数学试题(已下线)重难点02 几何体的表面积、体积、轴截面、多面体与球体内切外接问题 (重难点突破解题技巧与方法)-2022-2023学年高二数学考试满分全攻略(已下线)专题08几何体与球切、接的问题(练)--第一篇 热点、难点突破篇-《2022年高考数学二轮复习讲练测(新高考·全国卷)》(已下线)第二章 立体几何中的计算 专题二 空间距离 微点3 点到平面的距离(二)【培优版】
名校
9 . 设函数
.
(1)证明函数
在
上是递减函数,在
上是递增函数;
(2)函数
,若实数
,满足
,求
的最小值;
(3)函数
如(2)中所述,
是定义在
上的函数,当
时,
,且对任意的
,都有
成立,若存在实数
满足
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad088956aa34f0f709914dc8a2d9263.png)
(1)证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a6e01f72f4ad539e048680eb2a7a9d2.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d150a76e9bac9ead375e43f0784249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ca22fc12ade9e60dbc749ba5cfa73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e859c3fea2978dffe91deb3fef54eea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13502d46b8563c54c09b29b20b3006a4.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f417f76e2e7eb5231d8e90fb85c5b17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/362c09f673017d42b868689cdd1c52e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62077399a91d53169335549714e166a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a2d4d7ccd61172d021423109eba962f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22f6a3b0fe36c8b8d982cac77a79c23b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ddda93ac287ebe35a48b644cbc5e3a.png)
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名校
10 . 定义在
上的函数
满足:若对任意的实数
,有
,则称
为
函数.
(1)判断
和
是否为
函数,并说明理由;
(2)当
时,
函数
的图像是一条连续的曲线,值域为
,且
,求证:关于
的方程
在区间
上有且只有一个实数根;
(3)设
为
函数,且
,定义数列
:
,
,证明:对任意
,有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a11a069688e4c797fcf527eab15afa82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1cd9b780602fac532153308d4624433.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04beea76c59a6c5b096d8c5a3b77f8a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cde7575ff5459f1fd619d9b1ae9321bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e207cf62e3a7e282eac4c4a3455bbf9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/402c2cc85801ce96bd570723624d3d9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20e7e2521bc77d291d6bcbd1195c865c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/115da54f93de5e89d1e7f443fccb61f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce5db38507a175a223a12be5cf3be0e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b2b672625afc7a8db05e12f63eb4ed8.png)
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