名校
1 . 对于分别定义在
,
上的函数
,
以及实数
,若存在
,
使得
,则称函数
与
具有关系
.
(1)若
,
;
,
,判断
与
是否具有关系
,并说明理由;
(2)若
与
具有关系
,求
的取值范围;
(3)已知
,
为定义在
上的奇函数,且满足:
①在
上,当且仅当
时,
取得最大值1;
②对任意
,有
.
判断
与
是否具有关系
,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6795cae2df43a722e1355e9562d93c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c296e45b84cf67a98939aa7334e7d478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4413796ac3d5ca067bf70334101f5440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3ac1b540727626af78788a8e5f15de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6fc39a0cea8095683ad4a20a2f96f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9da4f4bf9fb72cabd7afc5a67f6ecf1c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12959f65e9db83c446c35d3261a33171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5cdde751120c6deab563a6f7f8cf05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976581d4a974fe50f9f29d430c1289f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5cdde751120c6deab563a6f7f8cf05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/677007fe2d220c74cbe3c9f4e9f8ccec.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3510b22fcf848f36cfaf5ff8964ce049.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17f318506aebfa6403ca8177d8db36d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9da4f4bf9fb72cabd7afc5a67f6ecf1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
①在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57a78355986534b6e50bd7cabc9290a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede97915bccd6a7b22d7400c30f8adea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
②对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0d3607cac89a65327549f87f20ba1c7.png)
判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca470d8c4a0a60e9f600d6aa264ad1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccb41d5badc297be2d9b8931991ab7a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1115793a13fb11c9e126cbb1fb2ac879.png)
您最近一年使用:0次
名校
2 . 设,我们常用
来表示不超过
最大整数.如:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d959974d562cb9ef138676ae943bc19c.png)
(2)在锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38335830b93ac4d99c28a8e209eecb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f5573b30734d65648f61c0a94c98de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6c9bcb51024df4a7d1a04e46ca12549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6f4e9bb8b453665bfe9b8fa24711cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26a1633c3dde29b96636a2300ab074f5.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f48da06492a0b0c8a31a5dc1531e8f49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47bb945c963b0d56df9d784d3e3288c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4a9d89ec3d1181091ea159b40952b65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
3 . 函数
.
(1)若
的定义域为
,求实数a的取值范围;
(2)当
时,
为定义域为
的奇函数,且
时,
,
①求
的解析式
②若关于x的方程
恒有两个不同的实数根,求t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a1bbd20e3530f75fc3c52a5648288f8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790b68061b533ed19f0c594314fc4dc8.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
②若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f432ff1145d529f680b88b8f767c5a.png)
您最近一年使用:0次
名校
解题方法
4 . 若定义在
的函数
满足:对于给定的
,存在
,使得
成立,则称
具有性质
.
(1)函数
,
是否具有性质
,请说明理由;
(2)已知函数
具有性质
,求T的最大值;
(3)已知函数
的定义域为
,满足
,且
的图像是一条连续不断的曲线,问:是否存在正整数n,使得函数
具有性质
?若存在,求出这样的n的取值集合;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b006ca4156920323d4a6e5b824eb4cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb03852bfba151574918a5ccdfa2eaeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c03be80f9a2db9ab33ff5505f9c22f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6be9a1c3d2ecfaf4aadfcd92c5f9204.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0facd8ef8a4f03cb439af27a89d25a35.png)
(1)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d84c5adeb3bce246ebbe10df3ee61d9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/716121901a339a5cfabd31a13562339e.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d7ce04b79ef6ae16d9d38288af2108.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0facd8ef8a4f03cb439af27a89d25a35.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b006ca4156920323d4a6e5b824eb4cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499bc3e09a7b069e8eb33f4cc203c030.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500965e9c4bf763d6f51c7abd2de309e.png)
您最近一年使用:0次
2024高一下·上海·专题练习
5 . 某同学用“五点法”画函数
,
在某一周期内的图象时,列表并填入的部分数据如下表:
(1)请填写上表的空格处,并写出函数
的解析式;
(2)将函数
的图象向右平移
个单位,再所得图象上各点的横坐标缩小为原来的
,纵坐标不变,得到函数
的图象,求
的单调递增区间;
(3)在(2)的条件下,若
在
上恰有奇数个零点,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fcd4082d14e5a26c6fccf782576856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1acd2d5f345bc859faaf9edc1036a6c7.png)
![]() | ![]() | ![]() | ![]() | ||
![]() | 0 | ![]() | ![]() | ![]() | ![]() |
![]() | 0 | 1 | 0 | ![]() | 0 |
![]() | 0 | ![]() | 0 | ![]() | 0 |
(1)请填写上表的空格处,并写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ca334d2ae1289b70941e6af9e336a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91609d305f182620aff2f5d85cc7e17f.png)
(3)在(2)的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecdb2704ea6bc44b5a75fb3c8a100353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3810fc5221a4e2e7095f945bb4a2e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
6 . 对于定义在
上的函数
,如果存在一组常数
,
,…,
(
为正整数,且
),使得
,
,则称函数
为“
阶零和函数”.
(1)若函数
,
,请直接写出
,
是否为“2阶零和函数”;
(2)判断“
为2阶零和函数”是“
为周期函数”的什么条件(用“充分不必要条件”“必要不充分条件”“充要条件”或“既不充分也不必要”回答),并证明你的结论;
(3)判断下列函数是否为“3阶零和函数”,并说明理由.
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c7eb49a823f757461cd5260757b088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd84a8f95166367063218ee03ffd5a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f7f4cc0837a4e6dcd0072887e4e2704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe6d9f54a34762aadfdf8e2bac977cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892519541cfba6f2763cd29159bf1b02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/329fb959f16f82835aa68fca9d3f08f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcda6a21da79726f8fb3ba6235b9010f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebef85c05f6d84ceb67d92abf77ba2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6ace630100e64ed290d82936ad249c8.png)
(2)判断“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)判断下列函数是否为“3阶零和函数”,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab7da79b2400cf8125ef040cd056b76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/321b15db96dc89f136a7421e09fc9814.png)
您最近一年使用:0次
名校
7 . 已知函数
,若对于任意的实数
都能构成三角形的三条边长,则称函数
为
上的“完美三角形函数”.
(1)记
在
上的最大值、最小值分别为
,试判断“
”是“
为
上的“完美三角形函数”的什么条件?不需要证明;
(2)设向量
,若函数
为
上的“完美三角形函数”,求实数
的取值范围;
(3)已知函数
为
(
为正的实常数)上的“完美三角形函数”.函数
的图象上,是否存在不同的三个点
,它们在以
轴为实轴,
轴为虚轴的复平面上所对应的复数分别为
,满足
,且
?若存在,请求出相应的复数
,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7942abede925d39586071ad73e8c7de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/237d8cd9bc612b6417614fbd70ee6c57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(1)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17b95e62946d710707f89d0c9f82c7ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d02d5fbfa2feb617c6fabd1c35c5fb5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(2)设向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1cf43aad35a9c6360908448b348be1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/138ddbc9e4e842267a38425141063cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42017367e7f9fc70f99d70551852d6e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2537912dc33dfc76ea1afa48c5d9e261.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebbc272e8a634e515c14f52bd64e84b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9246032f3154df10f63e03fef7ec5eb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be94c746ea0cb4834e5295672e229a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2374bf53f7afc6eac3cf45d2befef826.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a328844e8b5643eeda51d02c53bf248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be94c746ea0cb4834e5295672e229a4.png)
您最近一年使用:0次
8 . 对于定义域为R的函数
,若存在常数
,使得
是以
为周期的周期函数,则称
为“正弦周期函数”,且称
为其“正弦周期”.
(1)判断函数
是否为“正弦周期函数”,并说明理由;
(2)已知
是定义在R上的严格增函数,值域为R,且
是以
为“正弦周期”的“正弦周期函数”,若
,且存在
,使得
,求
的值;
(3)已知
是以
为一个“正弦周期”的“正弦周期函数”,且存在
和
,使得对任意
,都有
,证明:
是周期函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/094f977194228bed828f3507f5898934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37dd12a44398c1da043894287ed73951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67a24462399b3f0a55f56ee64f2eace7.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a198d1e1aad38ac00efe0529e6598967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69362920a541bcf343c7e2b6745c9473.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c456cf701f55723e8d8f6c06114d9155.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c27720b9725aab9069e49693f4ebf1.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1741f5326542c1e7960ffe9a495f2f18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
您最近一年使用:0次
名校
解题方法
9 . 已知O为坐标原点,对于函数
,称向量
为函数
的相伴特征向量,同时称函数
为向量
的相伴函数.
(1)求
的“相伴特征向量”;
(2)已知
,
,
为
的相伴特征向量,
,请问在
的图象上是否存在一点P,使得
,若存在,求出P点坐标;若不存在,说明理由;
(3)记向量
的相伴函数为
,若当
时不等式
恒成立,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66655b7a6825b124ce596197bf2aa14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b84dac41f87e939f6cc39f38dc59b78d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e723e57753f0a4fe1ef8ca1aee0e2117.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f5bcd9f6f37c678d0c115f81033a063.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c21dde2ad1e31c337bfb78c810ccb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aab5da44c04986fec56fe0429e7bd38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8995dd0d46aa3505185b312b37d2654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cde2057eeaf26f3e9dd1748e1e4adc5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6d0f698f257914921dae5b31f9051e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661249bf6499017f9e5e03db3fcd93d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b929fe0f9c13dd6dfabca91a1a4aaa.png)
(3)记向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fffe91c3b3290e5eb048b0028b0a5686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37c37fb4bd069bc873942c8fa00f8b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1a26abd0fde0e83ffcf32b5f46b073b.png)
您最近一年使用:0次
解题方法
10 . 已知函数
,其中
,且
为奇函数.
(1)求a的值;
(2)若
,
,
,求集合M;
(3)若函数
,讨论函数
(k为常数)的零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c49e7ffda89c48e4d92cac1e2b014e49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求a的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68072473a5106f93e3026d992859f7a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df08da2421cb4189f7614b732f015a76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a3a564aec24b9b74ccb9536e2cf0aed.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef49847ec3ba85b54129f985140c290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6d2218ba6c2a0d40d6f9a9b8f17d2f0.png)
您最近一年使用:0次