名校
1 . 已知一元二次方程
的两个实根为
,
.
(1)若
,
,求
的值.
(2)若
,
,用反证法证明
,
中至少有一个大于等于2.
(3)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431d74db88b677b7b1cee3f69b31ce52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48adb8a59b5c02fad5eada1b35171cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cec12441802f71e803efaf2c62ee588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8737f2fd5f3e882e89d4dabc3e5a67e1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de033ea58878627308c7c480d348103.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ed37ee7432002cd0e0978b2012e184.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2faad7201b4ab606677cee707f676beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
您最近一年使用:0次
2 . 设
,且
.
(1)求
的最小值;
(2)证明:
与
不可能同时成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2a75db28a1a99bd2e72566399d7891c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ac82d99a7af1bc48bd18c8420a670.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97b4b10492ae1c2b34d6baafe7de848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcbb50b863ac3cfd8eefcc605b0a28af.png)
您最近一年使用:0次
名校
3 . (1)已知
,求证:
;
(2)求证:
(其中
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ada798eeba5bd19d497bfd0741afd00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbc2278547879e9246de7e749a774d7.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2753dee1cf2935ce2f46ef406fc0e15a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a671406a5442a3088a4ee1d064114a.png)
您最近一年使用:0次
2022-09-15更新
|
475次组卷
|
3卷引用:辽宁省大连市第二十高级中学2022-2023学年高一上学期10月月考数学试题
4 . 用反证法证明命题:“已知
、
是自然数,若
,则
、
中至少有一个小于2”,提出的假设应该是( )
![](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/a02c42eb76182a468ec8c3bbd6bc376e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2022-06-07更新
|
252次组卷
|
2卷引用:辽宁省实验中学营口分校2022-2023学年高一上学期第一次适应性考试数学试题
5 . 已知
都是锐角,若
,则关于x,y,z这三个数值,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ba63ad02b1d5af2982fac3d91eb15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b03ab92b9340247731c31a95dba7ffc.png)
A.当![]() |
B.当![]() |
C.当![]() |
D.无论![]() |
您最近一年使用:0次
名校
解题方法
6 . 请选择适当的方法证明.
(1)已知
,
,且
,证明:
;
(2)已知
,
,
,证明:a,b中至少有一个不小于0.
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2958030ec9d7543dda1f529593a915e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98941347dd7ac01f5e63a6c5930dd5fa.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ade24dfb826c21d8593a3ab5d32d92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c99c2a65f7874283fb2f2991002d5f26.png)
您最近一年使用:0次
2022-05-05更新
|
679次组卷
|
5卷引用:辽宁省沈阳市第八十三中学2022-2023学年高一上学期9月月考数学试题
名校
7 . 用反证法证明命题:“三角形的内角中至少有一个不大于60°”时,假设正确的是( )
A.假设三个内角都不大于60° |
B.假设三个内角至少有一个大于60° |
C.假设三个内角至多有两个大于60° |
D.假设三个内角都大于60° |
您最近一年使用:0次
2022-04-21更新
|
559次组卷
|
7卷引用:辽宁省大连市第八中学2021-2022学年高一上学期期中数学试题
名校
8 . 若函数
对任意的
均有
,则称函数具有性质
.
(1)判断下面函数①
;②
是否具有性质
,并说明理由;
(2)全集为
,函数
,试判断并证明函数
是否具有性质
;
(3)若函数
具有性质
,且
,求证:是否对任意
,
均有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e6f347571b113ba7618c56958ea233f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)判断下面函数①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abbe323771bc92bf5767e1bd9a46b946.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c904567c3b3734e1eca8d042ef7a7b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)全集为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2029fc48d77259461f693025c39924be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390b9e64771945e2a8119dfebd8cfdea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d1a406338067cfdeafaf575b2fbcdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff2aa68223dfc02f39d7d10fa005387.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92d934e15c3727e7f56e3907237c736f.png)
您最近一年使用:0次
2021-11-23更新
|
864次组卷
|
2卷引用:辽宁省沈阳市五校协作体2021-2022学年高一上学期期末联考数学试题
9 . 已知a,b,c都是正实数,
,用三种方法证明:
.
(1)分析法;
(2)综合法;
(3)反证法.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8845c0d06613fabb0358d5392cca38b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f00cfcbd5f96bab94e532a2e79204e.png)
(1)分析法;
(2)综合法;
(3)反证法.
您最近一年使用:0次
2021-11-14更新
|
543次组卷
|
3卷引用:辽宁省沈阳五中2021-2022学年高一10月份第一次月考数学试题
10 . 已知
,用反证法证明关于x的方程
有且只有一个根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40cb7125a7b832153bb37fb614a73e6e.png)
您最近一年使用:0次