名校
解题方法
1 . 定义在
上的函数
,给出下列三个论断:
①
在
上单调递增;
②
;
③
.
以其中的两个论断为条件,余下的一个论断为结论,写出一个正确的命题:__________ ,_________ 推出___________ .(把序号写在横线上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7da221f28de0d5aa1b62e0d41cab7d9.png)
以其中的两个论断为条件,余下的一个论断为结论,写出一个正确的命题:
您最近一年使用:0次
2023-11-02更新
|
199次组卷
|
3卷引用:【第二练】3.2.1单调性与最大(小)值
(已下线)【第二练】3.2.1单调性与最大(小)值北京市交通大学附属中学2023-2024学年高一上学期期中考试数学试题北京市海淀区北京交通大学附属中学2023-2024学年高一上学期期中练习数学试题
23-24高二上·江苏·课后作业
2 . (1)若直线
,直线
,则
的充要条件为______ ;
(2)若直线
,直线
,则
的充要条件为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa4211831377655be51acaf182280085.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266e3689cc366d5f0a7718ce9c20e818.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdb9d8425d73a68731f30e0c0e22260.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c004caa71399373290a34d3551a73b77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ef3204c7b3fc5ba11254322f7071be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdb9d8425d73a68731f30e0c0e22260.png)
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23-24高二上·江苏·课后作业
3 . 两条直线的垂直
(1)若直线
,直线
,则
的充要条件为________ ;
(2)若直线
,直线
,则
的充要条件为_____________ .
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa4211831377655be51acaf182280085.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266e3689cc366d5f0a7718ce9c20e818.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c004caa71399373290a34d3551a73b77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ef3204c7b3fc5ba11254322f7071be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
您最近一年使用:0次
4 . 下列“若p,则q”形式的命题中,p是q的充分条件的有________
①若
,则
.
②若
,则
.
③若
,则
.
④若
,则
.
⑤在△ABC中,若
,则
.
⑥已知
,若
,则
.
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f57c4ff6e630fb7c1ffa2fe7422da31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9583154bf9f64b6b27a2970ba1ec3a88.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6749db809dd84c2cfe5c47bea121e356.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0072cb71f1c47245dffd348c140a11dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
⑤在△ABC中,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca51be437b1a97ca92aa1159ab71102c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/093db5b63dfd1ac4c84692a168f7ace0.png)
⑥已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360ff131c51a4ef6745538c18cec92c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fb20e291772c2614ad19f4cc919dfec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657435e1fda84118e7f63c97505c8b75.png)
您最近一年使用:0次
5 . 下列“若
,则
”形式的命题中,_______ 命题中的
是
的充分条件.
(1)若
,则
,
.
(2)若两个三角形相似,则两个三角形全等.
(3)若
为无理数,则
为无理数.
(4)若
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d5f0d374837655cc286d326305da36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
(2)若两个三角形相似,则两个三角形全等.
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b0b55c3297ce66c96d1559d76971f4.png)
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6 . 一次函数
的图象不过第三象限的一个充分条件是____________ (答案不唯一)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e114459637a3db306e91b5e9ee9aae8.png)
您最近一年使用:0次
7 . 下列“若p,则q”形式的命题中,
是
的必要条件的命题有_______
(1)若
是无理数,则
是无理数.
(2)若两个三角形全等,则这两个三角形面积相等.
(3)若
,则
.
(4)若
和
都是偶数,则
是偶数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fbb9c306da912756c1292f5a9988d91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若两个三角形全等,则这两个三角形面积相等.
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac37f9f4b13db156e2cbe63a9d7d4319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b53b86bd516400d6fa7dabb3603f31.png)
(4)若
![](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/18f0281e6bbdbe08beeccb55adf84536.png)
您最近一年使用:0次
8 . 从“充分不必要条件”“必要不充分条件”“充要条件”“既不充分又不必要条件”中,选出适当的一种填空:
(1)
是
的________________ ;
(2)
或
是
的____________ .
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd9cdea1e995c59e5d3225acad8b4d3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fb20e291772c2614ad19f4cc919dfec.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23d3b18b3fdc03a577b9eae3c1e23b51.png)
您最近一年使用:0次
9 . 约定
与
是两个运算符号,其运算法则如下:对任意实数
,
,有
,
.设
且
,
,集合
,则集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
____________ .(用列举法表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895c0c7fd9c7ec3c84de9f32d0ad985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
![](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/d56c026448967b9b19bfc659d394e496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c19b67753f8b2cec30a0071c776ef4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d15dc696ba786691a0f402a91c1d469f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdccb9db092c70837e49b581300a5b3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cb253670dc729fe6a82b02055e5447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
您最近一年使用:0次
名校
10 . 在整数集
中,被
除所得余数为
的所有整数组成一个“类”,记为
,即
.给出如下三个结论:
①
;
②
;
③
.
其中,正确结论的序号是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2077e5032491293f8181c4fc3bcf360a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e854be8d44d7021f8060aebf252284a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25d78bd963a3084fcdd3132e577b99dc.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa1e32b67f46da804432f2ed41c92e8f.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4026261fd183b98caed503b1d4863b2f.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9abd03920efdbaddac8f197dc511509.png)
其中,正确结论的序号是
您最近一年使用:0次
2023-08-30更新
|
276次组卷
|
2卷引用:北师大版(2019) 必修第一册 数学奇书 第一章 预备知识 §1 集 合 §1.3 集合的基本运算 第2课时 全集与补集