1 . 不等式的基本性质:(1)传递性:__________ .
(2)可加性:___________ .
(3)可积性:①___________ ;②___________ .
(4)同向可加性:___________ ;异向可减性:___________ .
(5)同向正数可乘性___________ ;异向异号可乘性:___________ ;异向正数可除性:___________ .
(6)乘方法则:___________ (
,
).
(7)开方法则:___________ (
,
).
(8)倒数法则:___________ ;___________ .
(2)可加性:
(3)可积性:①
(4)同向可加性:
(5)同向正数可乘性
(6)乘方法则:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209559aca6bf32705588b6a40e0b7320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
(7)开方法则:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209559aca6bf32705588b6a40e0b7320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
(8)倒数法则:
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2 . 目前发射人造天体,多采用多级火箭作为运载工具.其做法是在前一级火箭燃料燃烧完后,连同其壳体一起抛掉,让后一级火箭开始工作,使火箭系统加速到一定的速度时将人造天体送入预定轨道.现有材料科技条件下,对于一个
级火箭,在第
级火箭的燃料耗尽时,火箭的速度可以近似表示为
,
其中
.
注:
表示人造天体质量,
表示第
(
)级火箭结构和燃料的总质量.
给出下列三个结论:
①
;
②当
时,
;
③当
时,若
,则
.
其中所有正确结论的序号是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0532411d57ea180b894ad7ecc3c3cd2.png)
其中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cbc231de2cd997f8abb79585f057f48.png)
注:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1448ec3239cfb8c7872e101ab7405e6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/476d6d49c2989ac6cfd0c06149df251c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7600d2cfbdc6146db96cc545706004f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2429b6a233ef2f66677b15bc11a13294.png)
给出下列三个结论:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dc1c64bd18987615bd40f41d4cf4a7c.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87b351f16728b0023fd63678f8103c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/493102857cb6471c2d1f2e35c3872b55.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc2d3df37e73a8abea815f37dbb3fff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46ca25328bd480836d66a2b33b41b00f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb5becaecdd2a5481cf52f31e4930368.png)
其中所有正确结论的序号是
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3 . 用“>”或“<”填空:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8314e2f98928b76d7fb74b09283f3db.png)
______
; (2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8314e2f98928b76d7fb74b09283f3db.png)
______
;
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad52beba3181bfc922d5c59d73a5a11a.png)
______
(
) (4)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19d2dc5a13b5ef6dbea1bd19c72ff1e1.png)
______ mb(
,
);
(5)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a60e77043cfa243c212f9e340c5f46.png)
______
(
); (6)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36accab23dbd172687769aea43e5781c.png)
______
(
).
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8314e2f98928b76d7fb74b09283f3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e26ea0261f2b67983b07b8d0bb8bf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8314e2f98928b76d7fb74b09283f3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/285edfb99de8dc7317a53655aebaa39d.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad52beba3181bfc922d5c59d73a5a11a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9878a063abcb6098d10560f2bf2d4b71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19d2dc5a13b5ef6dbea1bd19c72ff1e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4c78214e43a8b93f2a57072033cbcf.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a60e77043cfa243c212f9e340c5f46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee6a2eba56d4f2d1670b0256b8d86b92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66eba129d92ede31b728e2590c4db2a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36accab23dbd172687769aea43e5781c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411a315870ed3e6d0e8ea885f1a04bcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66eba129d92ede31b728e2590c4db2a1.png)
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2023-10-07更新
|
147次组卷
|
3卷引用:北师大版(2019)必修第一册课本习题第一章3.1 不等式的性质
2023高一·全国·专题练习
解题方法
4 . 不等式的基本性质
序号 | 性质 | 简称 |
性质1 | a>b⇔ | 对称性 |
性质2 | a>b,b>c⇒ | 传递性 |
性质3 | a>b⇒ | 可加性 |
性质4 | a>b,c>0⇒ a>b,c<0⇒ | 乘法法则 |
性质5 | a>b,c>d⇒ | 相加法则 |
性质6 | a>b>0,c>d>0⇒ | 相乘法则 |
性质7 | a>b>0⇒ | 乘方法则 |
您最近一年使用:0次
2023高一·全国·专题练习
5 . 基本事实
(1)a>b⇔a-b_____ .
(2)a=b⇔a-b_____ .
(3)a<b⇔a-b_____ .
(1)a>b⇔a-b
(2)a=b⇔a-b
(3)a<b⇔a-b
您最近一年使用:0次
2023高三·全国·专题练习
6 . 有下列三个不等式:①
;②
;③
,则正确不等式的序号为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb0199c22e3491e4a10dfca016b921c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d39aad2f206beaec4ea3b11318a46cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fdb3ed692a545c834ebe108c20a15c.png)
您最近一年使用:0次
名校
解题方法
7 . 某军区红、蓝两方进行战斗演习,假设双方兵力(战斗单位数)随时间的变化遵循兰彻斯特模型:
,其中正实数
,
分别为红、蓝两方初始兵力,t为战斗时间;
,
分别为红、蓝两方t时刻的兵力;正实数a,b分别为红方对蓝方、蓝方对红方的战斗效果系数;
和
分别为双曲余弦函数和双曲正弦函数.规定当红、蓝两方任何一方兵力为0时战斗演习结束,另一方获得战斗演习胜利,并记战斗持续时长为T.给出下列四个结论:
①若
且
,则
;
②若
且
,则
;
③若
,则红方获得战斗演习胜利;
④若
,则红方获得战斗演习胜利.
其中所有正确结论的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e4889f43ca58586ca0bdca24ab0e6b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd680d9d3352bfe69d373054ab106a0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077e9883cc54992f7b96962895db9c26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2a22953b66e5f4a0337d22162a24b6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37f1e0268e7e4ace8e70b4d38ad6d08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a7c1d3681898e25187a896aeb0c8c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0718c04bdf70989bcc90b902671a692.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8474cce391ca2e910825e87032340bd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f22fec5a381ae8aca93d876e54c79de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d4bf90d547ec0df0f83216936cfad3a.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8474cce391ca2e910825e87032340bd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f22fec5a381ae8aca93d876e54c79de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7f8542aaf7c942e212fdd4fa7534d9.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fcd2820ec03fbd1c39812dfcbf49d44.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f773522c6a61531af39e349e8889a6b.png)
其中所有正确结论的序号是
您最近一年使用:0次
2023-03-27更新
|
1208次组卷
|
8卷引用:北京市朝阳区2023届高三一模数学试题
北京市朝阳区2023届高三一模数学试题专题12压轴题汇总(10、15、21题)专题04基本初等函数北京市朝阳区2023届高三一模数学试题查漏补缺练习 (2)(已下线)模块四 专题8 函数与导数北京卷专题11B指对幂函数(已下线)第08讲 函数模型及其应用(练习)安徽省安庆市桐城中学2023届高三下学期第二次模拟数学试卷
8 . 在概率论中常用散度描述两个概率分布的差异.若离散型随机变量
的取值集合均为
,则
的散度
.若
,
的概率分布如下表所示,其中
,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa0010cb466163db1349fc1040f6b439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d1d5ad0aae7122d2a84f403012296f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa0010cb466163db1349fc1040f6b439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05fa077ea49e76c4a746c03eec43808c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20c11f6c800b8e0410674a0c6d307d26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acf6b1657a1a144bba2ec7ee39f44ab0.png)
0 | 1 | |
0 | 1 | |
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9 . 设a、
且
.若函数
的表达式为
,且
,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd0914dc4d4c7f75710ff460a286fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3798d6c2e5eac9c1d8b044efd5081acf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b2042348304816cf7804be0aa0a72f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7921f38d0c851d5401781070ae78c7a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11b150630b0ad306b4c48de39437b160.png)
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