1 . (1)已知实数
满足
,求证:
.
(2)已知实数
满足
,用反证法证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2128a00f52af4427721f0ebba591daa.png)
(2)已知实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/127a0d8c1c7d15ed40ec4b8bca0ebdf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/485a2d99320384a0857b00ce9ab9e990.png)
您最近一年使用:0次
名校
解题方法
2 . 设常数
,已知函数
.
(1)判断函数
在区间
上的单调性,并说明理由;
(2)证明:不存在负实数
使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882bff2b3401ddfe4cad6929e33f7c41.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd531902180b2316d92936e1d1c5219d.png)
(2)证明:不存在负实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36825543013336c9df727bc51ff62c6.png)
您最近一年使用:0次
3 . (1)用综合法证明:设
,
均为正实数,且
,则
;
(2)用反证法证明:
在
上无零点.
![](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/22404ecc9b3ef48f2674c905008521bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3653e6a6f083c5cd8c04acded895e376.png)
(2)用反证法证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89285a8ffd5c563404f4fa52885ee2a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e02e8ca2dd39db848095a58e75b6ed.png)
您最近一年使用:0次
2021-12-01更新
|
372次组卷
|
2卷引用:广西河池市2020-2021学年高二下学期八校第一次联考数学(理)试题
4 . (1)已知
,且
,用分析法证明:
;
(2)设
,
,若
,用综合法证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce613eaa5df46a50174085ef5d1087fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e56f4504e0f80fd031c8b5f41832e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8954db00a1de8263871cf3e26965eb4b.png)
(2)设
![](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/feac4de538eecda2cb5cf860cd665261.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c958a97b985acd1662caf320f42904e0.png)
您最近一年使用:0次
5 . 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
6 . (1)
;
(2)设
,用综合法证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2004c4efdb09b151bb1018bb9f36b9c3.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ada798eeba5bd19d497bfd0741afd00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a737185eb85ca24cf66409ce1e09bc.png)
您最近一年使用:0次
2021-11-01更新
|
453次组卷
|
2卷引用:甘肃省平凉市静宁一中普通班2020-2021学年高二下学期第一次月考数学(文)试题
7 . 已知
,
,
是
的三边长.
(1)求证:
;
(2)若
的周长为3,求证:
.
![](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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c476d1eb3b34730011ea6c2c76dd8490.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/419c88dbb77fed47148de878336d571c.png)
您最近一年使用:0次
8 . (1)求证:
;
(2)已知
,
,且
,用反证法证明:
和
中至少有一个小于2.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94b3d03b6098d2f3f30d213d830d6a84.png)
(2)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/69bbd0aae5a4f6129fc78f88f662f092.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5360e1dce424ae202f4ca4e5b842499f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/361751a03c628b8ddb0952a7390f7810.png)
您最近一年使用:0次
2021-10-13更新
|
283次组卷
|
4卷引用:上海市奉贤中学2021-2022学年高一上学期10月月考数学试题
9 . 已知
.
(1)若
,
,证明
为锐角三角形;
(2)如图,过顶点
作
,垂足
位于边
上.若
且
,证明
不是直角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32841dea3e0f06078e09450d29dbfac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/994eeb7944c572291623825627af7ea2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)如图,过顶点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bacfdde1c91d4404be2fdf515a03437d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c24a968c73e960698a572ab01e3698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/f9272433-89e2-4fe7-9df7-e62ab88224ad.png?resizew=168)
您最近一年使用:0次
10 . 用适当的方法证明下列命题,求证:
(1)
;(
)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/840ab5202c0dd51fb0d9aa14a500fd45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3eb9b6fe8959ae9e71e857b6d6fed49.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734f585f8cfc92522f6daf997ebec04d.png)
您最近一年使用:0次
2021-10-03更新
|
805次组卷
|
5卷引用:新疆新源县2020-2021学年高二下学期期末数学(文)试题