名校
1 . 定义函数
,设区间
的长度为
,则不等式
解集区间的长度总和为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aad35753860ae3c07ee847f90556c484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
A.5 | B.6 | C.![]() | D.![]() |
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2 . 给出以下两个数学运算(符号)定义:
①若函数
,则
,其中
称为函数
的
次迭代.如:
.
②对于正整数
,若
被
除得的余数为
,则称
同余于
,记为
.如:
.
(1)若函数
,求
;
(2)设
是一个给定的正整数,函数
记集合
.
①证明:当
时,
;
②求
并猜想
.
①若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac36cc9de2d52fa81b310df3c137559f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bbc5dcd0b5d4e94cb92e52ca31f0cfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b956f95d6cdcded732751d6d74c14cab.png)
②对于正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0ace40e2e209924905e48bf00df631f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8b539bc9386988afc25da70e13ae899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/706057125d5d481d23b0319e10e2d936.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e08e564833f8450a876460a6db43dad1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e91f1470cecf7c4da36644e5244775bf.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b44a1741d645756e39740a0818412e75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/208bd4b35f6be79500cdf5d8e433e449.png)
①证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b94f6525788e512dbc8121c49b46bc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/502416314c8c26f8442e639ea6a5db13.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
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解题方法
3 . 定义:若函数
的值域是定义域的子集,则称
是紧缩函数.
(1)试问函数
是否为紧缩函数?说明你的理由.
(2)若函数
是紧缩函数,求
的取值范围.
(3)已知常数
,函数
,
是紧缩函数,求
的取值集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)试问函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef555a47258a9ce115189413c2e4ee63.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50ca1eddc194c3069d1caa62ff3a3e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)已知常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed228ab22e5d51eea0c12215e1dafe8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21cef43169928473f9145e7df54edef1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-04-15更新
|
255次组卷
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3卷引用:辽宁省辽阳市集美中学2023-2024学年高一下学期4月月考数学试题
名校
4 . 已知
,函数
,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e6404cd8d3bb839cccf6e4176c8fb9a.png)
A.![]() |
B.若![]() ![]() ![]() ![]() |
C.若函数![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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3卷引用:湖南省多校联考2023-2024学年高一下学期入学考试数学试题
名校
解题方法
5 . 若非空集合A与B,存在对应关系f,使A中的每一个元素a,B中总有唯一的元素b与它对应,则称这种对应为从A到B的映射,记作f:A→B.
设集合
,
(
,
),且
.设有序四元数集合
且
,
.对于给定的集合B,定义映射f:P→Q,记为
,按映射f,若
(
),则
;若
(
),则
.记
.
(1)若
,
,写出Y,并求
;
(2)若
,
,求所有
的总和;
(3)对于给定的
,记
,求所有
的总和(用含m的式子表示).
设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f471707062efa20856b51c22e6f84dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21baa8bc435ec6b2c9b67877171a3173.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/361386446d504a14471b9fd89130f1c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78e2cf3c6d97e637b06bc3f173e2294b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2cab9bca9269b6a450c4b52f0557ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32cb04516f1b2735ce3f3b4650dd44d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab9dd64d5d8d3e0da1bd6a1821735620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/804359bfe1c504ea7c4fef24f816c1ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64a050b856ea45102abeca042f7fa51c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e951e5ed59afb9cbca7ba7b3f57d637.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/454dd532a75670c2c5fe340e7cf6394e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66803407d09e203ad26667f83d13cb73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e951e5ed59afb9cbca7ba7b3f57d637.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65882cdf1d004742addf809d8b9085cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e3e85ec77053cebbd8b2f6f6300ac66.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/024b3cc2f0b74a8e3b34bae24fa44707.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab44704e5aa4ff926a58cebdcc4dad99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1eb6e559b36bbfab633520897b7c9d8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3334356ffb98a848fe7a027437e8fbcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab44704e5aa4ff926a58cebdcc4dad99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1eb6e559b36bbfab633520897b7c9d8.png)
(3)对于给定的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f278ad5460e4a89bea4068beabb8df15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a31ccd147dd0dd022bd2e605d2b0f7fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1eb6e559b36bbfab633520897b7c9d8.png)
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|
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2卷引用:云南省昆明市2024届”三诊一模“高三复习教学质量检测数学试题
名校
6 . 函数
满足:当
时,
,
是奇函数.记关于
的方程
的根为
,若
,则
的值可以为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1092d77e2570be5584ebc0cdcdca2ea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b08d939cee48042d0a565a53dbeadf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57d500a74b865ade2b576720c04becd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed0b01191624fcc0469ecad0287a0b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fdb4c1ad5fce7cf952767c03b8eb6ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.![]() | B.![]() | C.![]() | D.1 |
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2024-04-03更新
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4卷引用:辽宁省抚顺市2024届普通高中应届毕业生高考模拟考试(3月)数学试题
7 . 对于整系数方程
,当
的最高次幂大于等于3时,求解难度较大.我们常采用试根的方法求解:若通过试根,找到方程的一个根
,则
,若
已经可以求解,则问题解决;否则,就对
再一次试根,分解因式,以此类推,直至问题解决.求根的过程中常用到有理根定理:如果整系数方程
有有理根
,其中
、
,
,
,那么
,
.符号说明:对于整数
,
,
表示
,
的最大公约数;
表示
是
的倍数,即
整除
.
(1)过点
作曲线
的切线,借助有理根定理求切点横坐标;
(2)试证明有理根定理;
(3)若整数
,
不是3的倍数,且存在有理数
,使得
,求
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b4d150dc687f9ff11ee3213ec03864e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f86eff5761f61a20c240a428f2a7ceda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f86eff5761f61a20c240a428f2a7ceda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efa90ca9cbf408140831d56638ac9e49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bbe0c7e53077a592e5a6dd5f33d4d66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67587f2813cc9ed217fa61b82d83d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e22570cf8b339a70e8ea0bb696b376.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9040a38c1948ba9c5df2a42d01218c34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9df03ecaa1fdf8814e014245b3dc5523.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b08afab5098dc7af7074d9cb3c246282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423cfd9d544692727b99a5878f7e9a1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(1)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e280d0441a31fdbef3ce192d8d8f8dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d0660d4864c16652a6b27337462b3f1.png)
(2)试证明有理根定理;
(3)若整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65c4954c0a61e12286e9ce9b7ca2010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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名校
解题方法
8 . 人们很早以前就开始探索高次方程的数值求解问题,牛顿在《流数法》一书中,给出了高次代数方程的一种数值解法—牛顿法,这种求方程根的方法,在科学界已被广泛采用.设实系数一元三次方程:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/031a3d02c9cf003a43d894aa7ebdec85.png)
—①,在复数集C内的根为
,
,
,可以得到,方程①可变为:
,展开得:
—②,比较①②可以得到一元三次方程根与系数关系:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67f2ae75fee77fee30aa151798182849.png)
(1)若一元三次方程:
的3个根为
,
,
,求
的值;
(2)若函数
,且
,
,求
的取值范围;
(3)若一元四次方程![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fa96155bd61717e29fbd3b93c3649d4.png)
有4个根为
,
,
,
,仿造上述过程,写出一元四次方程的根与系数的关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/031a3d02c9cf003a43d894aa7ebdec85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e331b91e1e73a0323097b50d428e73e2.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/5c5f02ca9521a8d68480025eaf893e95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e35119b570f422658c3c4df87db6a62d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67f2ae75fee77fee30aa151798182849.png)
(1)若一元三次方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6fa7c65d0c0d3b83de40a89c876a7d.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/019980a9716b372a9b8e119847be1510.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40501cecf34a9f43807a5e4ded9b92cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8add672e3ec923459fa6335e75317ab3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/582da7ec168945ca47881eaccecc82ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(3)若一元四次方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fa96155bd61717e29fbd3b93c3649d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f5bb89c3ad435f1ef59307b174105ed.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/365b38a7689a8eede6820cd6f1fe952b.png)
您最近一年使用:0次
名校
9 . 已知集合
,其中
都是
的子集且互不相同,记
的元素个数,
的元素个数
.
(1)若
,直接写出所有满足条件的集合
;
(2)若
,且对任意
,都有
,求
的最大值;
(3)若
且对任意
,都有
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13757649d1059dabada7fbafde58e6f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96fa7b00ef7b8cf8e5a42aeb29f5154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf783a679243d115e602912050e47ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/775adbe6736b3ec038d45a4f209ac290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f71a52871eb36b27836d6b9d72029ac.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/144e563700d35bb31aa51bab681f3118.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b56e44e4f0424a2b7a45567120a2e4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45cf86650443d1b86c79b1e3edc7e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebd42fc2af57877e06f485b50ae4d87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19eee6183061532e744ef9086ffcb8b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a245761c2403d38b654894e0c78cec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebd42fc2af57877e06f485b50ae4d87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27d4e5e05097560b51f888f8b234bc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-03-23更新
|
870次组卷
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4卷引用:北京市北师大附属实验中学2024届高三下学期3月零模数学试题
名校
10 . 已知函数
的定义域均为
,给出下面两个定义:
①若存在唯一的
,使得
,则称
与
关于
唯一交换;
②若对任意的
,均有
,则称
与
关于
任意交换.
(1)请判断函数
与
关于
是唯一交换还是任意交换,并说明理由;
(2)设
,若存在函数
,使得
与
关于
任意交换,求b的值;
(3)在(2)的条件下,若
与
关于
唯一交换,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc4978f812146b4566467ee255fc1c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
①若存在唯一的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c21349867ead1c5d88dc7a618e073dfa.png)
![](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/4fe7d5809da02c15a43a0e9a898b9086.png)
②若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c21349867ead1c5d88dc7a618e073dfa.png)
![](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/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)请判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0ba94c781da05ac6ca38261904b40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c89a5f35cd4e4764d285fce93350443b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318a16f1950d06e5500c76d8f81a507f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b0e163359b6ed8f05a408790e719fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](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/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)在(2)的条件下,若
![](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/6b8b2248e52559f7d86566313a7c1040.png)
您最近一年使用:0次
2024-01-17更新
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625次组卷
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5卷引用:北京市海淀区2023-2024学年高一上学期期末考试数学试题