名校
解题方法
1 . 已知函数
的定义域为
,且
若
,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf664ed944afee2ec6d18b67fd09b06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df41327af1dc3cf342942fc1231ca9d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f2dea1ad17a596d53ba9a477ea791d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
2 . 对于定义域为
的函数
,若存在区间
,使得
同时满足:
①
在区间
上是单调函数;
②当
的定义域为
时,
的值域也为
,则称区间
为该函数的一个“和谐区间”
已知定义在
上的函数
有“和谐区间”,则正整数k取最小值时,实数m的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235b69c35a633494664799f642cf47bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
已知定义在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/590e9b355752da576aa7f628315e6c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ef658ba0fcda37d15e46fbde0ff0199.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
3 . 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)
您最近一年使用:0次
2024-04-08更新
|
581次组卷
|
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
4 . 已知
是函数
的一个零点,
是函数
的一个零点,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0878c361279685ecd96f4051a0b361cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dc5882b90401b5d90e4ac859eb3f8ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28b6ab702f8e93cc1e680a7d7af06786.png)
A.1012 | B.2024 | C.4048 | D.8096 |
您最近一年使用:0次
解题方法
5 . 我们把
(其中
,
)称为一元n次多项式方程.代数基本定理:任何复系数一元
次多项式方程(即
,
,
,…,
为实数)在复数集内至少有一个复数根;由此推得,任何复系数一元
次多项式方程在复数集内有且仅有n个复数根(重根按重数计算).那么我们由代数基本定理可知:任何复系数一元
次多项式在复数集内一定可以分解因式,转化为n个一元一次多项式的积.即
,其中k,
,
,
,
,……,
为方程
的根.进一步可以推出:在实系数范围内(即
,
,
,…,
为实数),方程
的有实数根,则多项式
必可分解因式.例如:观察可知,
是方程
的一个根,则
一定是多项式
的一个因式,即
,由待定系数法可知,
.
(1)解方程:
;
(2)设
,其中
,
,
,
,且
.
(i)分解因式:
;
(ii)记点
是
的图象与直线
在第一象限内离原点最近的交点.求证:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e138b0fc1c40ba1637098eb2a6efd580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa01f03fb074bff35b35e07047d11b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6368fec0c2c25db7c29b014d60270e97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35f7dcce39f3d4dc6b7faf84dc1d0a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6368fec0c2c25db7c29b014d60270e97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10b328845a4b1881eee38084d5501224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcde67e0b4461129e0c7e3a12df4634f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edffa0cf823fb77bb7e273db0e014743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/483fd78fe6ed871ce859f4796ad7779c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/943b765718479c160ba61ec5c6f8c5f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e29bf5652f0d4f764c3606efcdb445f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3230af83e2c18650f1de0c88060c0b25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e138b0fc1c40ba1637098eb2a6efd580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35f7dcce39f3d4dc6b7faf84dc1d0a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e138b0fc1c40ba1637098eb2a6efd580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf70f45c7f3a63a81001f87863f2c73c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2527822fd5ee6ded770ffc9857c41bff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b924d856924e8cf2b172d5cacffe0610.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2c82aa40a712f2ef6fda7eaeb88a48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7344f58d5f08fab08d4e99baa13fa652.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd7126d6d76248996a222631cc9ea93c.png)
(1)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d58fc8760f5b4612d0f76133d938f4e9.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/536bbd87dd4193314aec2e214e5f05b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35f7dcce39f3d4dc6b7faf84dc1d0a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1cdb8081eb1b3390b3730c01b9afb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/653588ca473b428b4a437d6a8ed7a76c.png)
(i)分解因式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e42787c800e5f9c7ac483bea80d8440.png)
(ii)记点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c520c63104bb6669c3591bd100b10e1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51969fc1a8030cef11cab59267689e89.png)
您最近一年使用:0次
6 . 已知函数
(
)有两个零点
,
,则有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a370bb4f8d565ffd40997f739eaf6a4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e25da8298b6a96d627f3e8c990e55f0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
7 . 已知函数
,
的定义域均为
,且
,
,
,若
,且
,则
( )
![](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/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880f083d9a5602f3e40909cb261fb977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c372b304101d9dac6619b3cf9049ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4807cf5a5ba4c535c9afcd4ef6afcb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6855784817151468771f29c0fc38fc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b6e0b74df42de88c91aadfdd9ac6727.png)
A.305 | B.302 | C.300 | D.400 |
您最近一年使用:0次
解题方法
8 . 设函数
是定义在
上的函数,并且满足下面三个条件:①对正数
都有
;②当
时,
;③
.则()
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25bea6d14c16f7c06e4e028f36131360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e4ae31cf7c872f16496cfb1eec47739.png)
A.![]() |
B.![]() |
C.不等式![]() ![]() |
D.若关于![]() ![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
9 . 定义域为
的函数
满足:当
时,
,且对任意的实数x,均有
,记
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d31d07e0e178dd81de9ab409d9475e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afe3feedfbff1dae12d868db4395ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186c0bbc8767d465381e390fb5b1dfab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef2a45773db8d347f0cfa4e4fca7fd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d48c3fce28a173a64febb17628959e1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-08-26更新
|
824次组卷
|
2卷引用:云南师范大学附属中学2024届高三高考适应性月考卷(二)数学试题
名校
解题方法
10 . 已知函数
的值域为
,
,
,
,则下列函数的最大值为
的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bef8c9abc999aa5aaca6810ae257d4b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23d0d9829e0f5f313d8a0a705c4d5879.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3838d126e7480e3e0827999f3cf9f771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1218eda19f74a1ed50ab106265c6621f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
2023-12-23更新
|
268次组卷
|
3卷引用:云南省部分学校2024届高三上学期12月联考数学试题