![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dc57c6c63822a469aa2e0bd929988e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7a78f47c278e403d9522e8333288714.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/283f415513edf12fd0a15c6c72e8a3b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f511880834175ac4546ea7cc7758b1b0.png)
A.与a有关,且与b有关 | B.与a有关,但与b无关 |
C.与a无关,且与b无关 | D.与a无关,但与b有关 |
【知识点】 利用函数单调性求最值或值域解读 二次函数的图象分析与判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4895c487cb1500af1eb56a9adb328a97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f1630e962b83639123f6d8e4ee5917f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 根据函数的单调性求参数值解读 根据函数的单调性解不等式
A.f(a)>f(2a) | B.f(a2)<f(a) |
C.f(a2+a)<f(a) | D.f(a2+1)<f(a) |
【知识点】 根据函数的单调性求参数值解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c2d2ff7026207b2376388598659ec15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/2018/11/8/2071045423947776/2071291624095744/STEM/7970a14b56df491388e09eb9029acd39.png?resizew=156)
A.函数在区间![]() |
B.函数在区间![]() |
C.函数在区间![]() |
D.函数在区间![]() |
【知识点】 根据图像判断函数单调性
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be84d79eb2496b328d15ff7fdf49bc8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92d3856e530822adb5ee97d1be8c1bbe.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 已知二次函数单调区间求参数值或范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdea3b8638fa24c6b0c08f9368dbc34f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
A.函数![]() ![]() |
B.当![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
E.![]() ![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a91c50cc5f224330cadf175871943de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940adbf54e96ecb2bb2637e5f976a3b0.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() ![]() |
D.![]() ![]() ![]() |
【知识点】 定义法判断或证明函数的单调性解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
①若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5985b2d230dea42997f863626d78e187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6af409949b4e2748ca5b790c77b1173c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
②若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5985b2d230dea42997f863626d78e187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8433fd8a3af18a8674712035a6dac6d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
③若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2fe3251e054fe97089806ba7033f802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec80634a6e2b2c85f845fa368b3a5969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d7911bc8494c652a74602f5eeddc148.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
则以上真命题的个数为( )
A.0 | B.1 | C.2 | D.3 |
【知识点】 定义法判断或证明函数的单调性解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/801c45e13d871320e715f0a86a6ec5e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7af658f903fae5d0e8111dc14125268.png)
A.增函数且最小值为![]() | B.减函数且最小值为![]() |
C.增函数且最大值为![]() | D.减函数且最大值为![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b718a1358ec4e4f29db55bcc9df2f6d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0fe9639d2a60e64a12ebce153160d69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
A.在区间![]() | B.在区间![]() |
C.在区间![]() | D.在区间![]() |
【知识点】 复合函数的单调性
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4031b4c440fe468dc77443e3631b9a3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 分段函数的性质及应用解读 根据函数的单调性求参数值解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25391ca8a82861e71e487a262fecfefb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 复合函数的单调性
A.f(a)+f(b)>f(-a)+f(-b) | B.f(a)+f(b)<f(-a)+f(-b) |
C.f(a)-f(b)>f(-a)-f(-b) | D.f(a)-f(b)<f(-a)-f(-b) |
【知识点】 比较函数值的大小关系
A.(-∞,-2) |
B.(0,+∞) |
C.(2,+∞) |
D.(-∞,-2)∪(2,+∞) |
【知识点】 根据函数的单调性求参数值解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
【知识点】 复合函数的单调性
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e0ba068906acd08973bf89c1c06e81c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a3599a90429bb79f861c201434ed088.png)
【知识点】 根据函数的单调性求参数值解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6bfdb24ecf5da863405c2b40936ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77b72fa321c3fbb6e081ce453aa84de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70b024250269ed1c18cdaf2f2406f28b.png)
【知识点】 根据函数的单调性求参数值解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58ca55fbea7f1659ffb42418cd6fe596.png)
【知识点】 求函数的单调区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d452238c38455b88c4e15a20cc99571.png)
【知识点】 根据函数的最值求参数 判断二次函数的单调性和求解单调区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae543122a9a00feb76c84fd2ee6d1369.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19c18d3344a85953f2c145ff28f25bda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318a16f1950d06e5500c76d8f81a507f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4ffb737df1cf13cd29908a1e936c3b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cb9338e5e5d7b725f69a2e8e642dc89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dc8430db22ac655bbf49373eb6b456a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5ccc34de572fab89b56f129b624dc2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff81291803214117c94337ae46385b7.png)
【知识点】 求二次函数的解析式 已知二次函数单调区间求参数值或范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/793471a6755dae1aa529e3942de50b4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c880a292e77ec85d531c1b37e6feffe6.png)
(2)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/793471a6755dae1aa529e3942de50b4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8938db94f49dcbe0c383fba0241bb0da.png)
(3)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed52ee0d4ad7e4419a7edea7cb46fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8938db94f49dcbe0c383fba0241bb0da.png)
【知识点】 定义法判断或证明函数的单调性解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/112675a07ab5e2227c2f872b313a2b0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
(1)用定义法证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27ea2aec5fcb690f58dc7f33d5b7d140.png)