名校
解题方法
1 . 设函数
.
(1)求证:当
时,不等式
成立.
(2)关于
的不等式
在
上恒成立,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea74a7d7d705b42221028d927ad6641.png)
(1)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e9222ffc26c0e6bfbf252ab5d8a520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f205efec333bcad668263c3a5353894.png)
(2)关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1312d640aa773779a34e9d50791ef5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2018-07-13更新
|
184次组卷
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5卷引用:2017届重庆市育才中学高三上学期入学考试数学(理)试卷
2 . 选修4-1:几何证明选讲
如图,
为⊙O的直径,
为
的中点,
为
的中点.
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067280629760/1573067286331392/STEM/1ac14a3e77e24ccaaf8ee7267704e038.png)
(1)求证:
;
(2)求证:
如图,
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067280629760/1573067286331392/STEM/4365c3ab6c1848f792b6e725c3f97dd5.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067280629760/1573067286331392/STEM/2b8ab1ae65d74427b488fcd95bb3d3a3.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067280629760/1573067286331392/STEM/98fe5baebfdc48f98a73c2d78d6593dc.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067280629760/1573067286331392/STEM/c3873004bf704a0eb499e2eac25ba060.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067280629760/1573067286331392/STEM/a98948365671441da56691c4bfec62e9.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067280629760/1573067286331392/STEM/1ac14a3e77e24ccaaf8ee7267704e038.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2340fa9aa1eb856a0b1f52ac53a7701b.png)
(2)求证:
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067280629760/1573067286331392/STEM/c9c3327b75cd47468a84fdb624ae6238.png)
您最近一年使用:0次
2016-12-04更新
|
135次组卷
|
4卷引用:2017届重庆市育才中学高三上学期入学考试数学(理)试卷
名校
解题方法
3 . 如图,四棱锥
中,
是正三角形,四边形ABCD是矩形,且平面
平面
.
(1)若点E是PC的中点,求证:
平面BDE;
(2)若点F在线段PA上,且
,当三棱锥
的体积为
时,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53502463cc76201000e02df314e58769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e120c3efe6cf7f3e7b28449a3c42d973.png)
(1)若点E是PC的中点,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/373f735f0f04d11f1951eaef1bb78b6a.png)
(2)若点F在线段PA上,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0e5f1056c952ccbc6d4b3ac2006e330.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95dec9ddad921ed5e8cd2148a21f00ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599cb4a589f90b0205f24c2e1fa021e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://img.xkw.com/dksih/QBM/2019/2/26/2149003055095808/2153824710451200/STEM/ffebc5cc7b754ce59a4fb7136b37739e.png?resizew=174)
您最近一年使用:0次
2016-12-03更新
|
939次组卷
|
5卷引用:2017届重庆市育才中学高三上学期入学考试数学(文)试卷
4 . 如图,在正三棱柱
中,点
是棱
的中点,
.
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067280629760/1573067286183936/STEM/f09d19a7feaf4ce38721258829cccb13.png)
(1)求证:
平面
;
(2)求二面角
的平面角的正弦值.
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067280629760/1573067286183936/STEM/87b145286332427b96daee3c738b96b8.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/cd51a76880f273d2608651bab18f85df.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067280629760/1573067286183936/STEM/f09d19a7feaf4ce38721258829cccb13.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067280629760/1573067286183936/STEM/f5269e73e4b24a3e8e6347e5424fb848.png)
![](https://img.xkw.com/dksih/QBM/2016/10/13/1573067280629760/1573067286183936/STEM/b68b2177b99947ac9d8ed96730fd55d4.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a3917d7044094158c0a96160dda69a9.png)
您最近一年使用:0次
5 . 设函数
.
(1)求函数
的单调区间;
(2)设![](https://img.xkw.com/dksih/QBM/2016/10/19/1573078968410112/1573078974939136/STEM/37e12aafed9c41af9e8c51b9d7fc9862.png)
是否存在极值,若存在,请求出极值;若不存在,请说明理由;
(3)当
时.证明:
.
![](https://img.xkw.com/dksih/QBM/2016/10/19/1573078968410112/1573078974939136/STEM/12876bf7f7c54de49c596065dc9d49c2.png)
(1)求函数
![](https://img.xkw.com/dksih/QBM/2016/10/19/1573078968410112/1573078974939136/STEM/874159c40db444368a2d774316a27fa9.png)
(2)设
![](https://img.xkw.com/dksih/QBM/2016/10/19/1573078968410112/1573078974939136/STEM/37e12aafed9c41af9e8c51b9d7fc9862.png)
![](https://img.xkw.com/dksih/QBM/2016/10/19/1573078968410112/1573078974939136/STEM/1f8fba8ea7ca419283bba12ae85e0f3a.png)
(3)当
![](https://img.xkw.com/dksih/QBM/2016/10/19/1573078968410112/1573078974939136/STEM/9c23331eb0c44142a2becd3f016854fd.png)
![](https://img.xkw.com/dksih/QBM/2016/10/19/1573078968410112/1573078974939136/STEM/6cbdc6bbf8e34f5b878adfd4b2199212.png)
您最近一年使用:0次
6 . 如图,已知圆
是
的外接圆,
是
边上的高,
是圆
的直径,
![](https://img.xkw.com/dksih/QBM/2016/6/29/1572843757551616/1572843763859456/STEM/7fff3188680842d2b2f8c60d128414f7.png)
(1)证明:
;
(2)过点
作圆
的切线交
的延长线于点
,若
,求
的长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e47d64e7cd6c3179394120d007ff12a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://img.xkw.com/dksih/QBM/2016/6/29/1572843757551616/1572843763859456/STEM/7fff3188680842d2b2f8c60d128414f7.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd359cfca47625d74b8fcf92417e4c18.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ade8d3073dcc5f4b672f2120a183df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
您最近一年使用:0次
2016-12-04更新
|
79次组卷
|
5卷引用:2017届重庆市育才中学高三上学期入学考试数学(文)试卷