解题方法
1 . 如图,在直三棱柱
中,已知
,设
的中点为
,
.求证:
![](https://img.xkw.com/dksih/QBM/2020/8/14/2527831942242304/2530675692716032/STEM/5843b21c-e222-4d2c-8df9-5e1d4f551b9e.png)
(1)
平面
(指出所有大前提、小前提、结论);
(2)
(用分析法证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eec2bbb7272f66c7cf92620da8372d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88b866f54e2c5c1df06364cdc7eb59bc.png)
![](https://img.xkw.com/dksih/QBM/2020/8/14/2527831942242304/2530675692716032/STEM/5843b21c-e222-4d2c-8df9-5e1d4f551b9e.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063510e3c1fb6a7ccc3b8e3e3c7d660e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac61c24f99a4e466f1e2ea011893866.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98faac7a82235d53bb4b6abe7ee54951.png)
您最近一年使用:0次
解题方法
2 . 已知椭圆
的离心率为
,两焦点之间的距离为4.
(1)求椭圆的标准方程;
(2)过椭圆的右顶点作直线交抛物线
于A、B两点,
①求证:OA⊥OB;
②设OA、OB分别与椭圆相交于点D、E,过原点O作直线DE的垂线OM,垂足为M,证明|OM|为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/948261c41cc1509f023761d880c75582.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(1)求椭圆的标准方程;
(2)过椭圆的右顶点作直线交抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
①求证:OA⊥OB;
②设OA、OB分别与椭圆相交于点D、E,过原点O作直线DE的垂线OM,垂足为M,证明|OM|为定值.
您最近一年使用:0次
2020-07-30更新
|
128次组卷
|
2卷引用:甘肃省武威第八中学2019-2020学年第二学期期末考试高二数学(文科)试卷
名校
3 . (1)求证:
.
(2)已知
,用分析法证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/791586b58c62684f6983a12c14300bdd.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ac12138178cb539a9e1c8f77587038.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd0bbac8f3e00fd58c206d93a20a3f92.png)
您最近一年使用:0次
2020-02-26更新
|
382次组卷
|
2卷引用:甘肃省天水市甘谷县第一中学2019-2020学年高二上学期期末数学(文)试题
4 . 在数列
中,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61fe23549697a06a4cb825b7cf8edf66.png)
(1) 求证:
;
(2)若
,求
的值,观察并猜想出数列已知数列
的通项公式
,并用数学归纳法证明你的猜想.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa01f03fb074bff35b35e07047d11b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61fe23549697a06a4cb825b7cf8edf66.png)
(1) 求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c653177884385ae15b71438aac4e704d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5b862c625e9afa23d5790b08dd3516d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
您最近一年使用:0次
2019-05-14更新
|
468次组卷
|
3卷引用:【全国百强校】甘肃省白银市会宁县第四中学2018-2019学年高二下学期期中考试数学试题
【全国百强校】甘肃省白银市会宁县第四中学2018-2019学年高二下学期期中考试数学试题河南省洛阳市2018-2019学年高二下学期期中考试数学试题(理)(已下线)考点57 推理与证明-备战2021年高考数学(理)一轮复习考点一遍过
5 . 已知△ABC的三边长为a,b,c,三边互不相等且满足b2<ac
(1)比较
与
的大小,并证明你的结论;
(2)求证:B不可能是钝角.
(1)比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61fe34b1cc3a3cfcfad66fb03b9e22c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c147d6cbd7cbaeb8ec08a0ba69cd59dd.png)
(2)求证:B不可能是钝角.
您最近一年使用:0次
名校
6 . 证明下列不等式:
(1)用分析法证明:
;
(2)已知
是正实数,且
,求证:
.
(1)用分析法证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14c19d94ff48082c1cd213c82c99abf0.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751e274e9107d780c39ba9c49d6daefb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d689b0da0bd4803b3e8a6c69542ae466.png)
您最近一年使用:0次
7 . 证明:
(1)已知
,且
,求证:
中至少有一个是负数.
(2)已知
是正实数,且
.求证:
.
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45fb266e8037047e0f77ce72abe61085.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea46060fd993708c2be338e3c981ca4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1877536b65e4975ff4f9ab08d99126f2.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e67159c517c8a832985a4399757bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e943e44d51de25b3e47c62ac7493cbd.png)
您最近一年使用:0次
8 . 在用反证法证明“已知
,求证:
”时的反设为__________ ,得出的矛盾为________ .
![](https://img.xkw.com/dksih/QBM/2017/5/1/1677586164473856/1678579004612608/STEM/31618af1084147ddaa6deb82df8ecd89.png?resizew=75)
![](https://img.xkw.com/dksih/QBM/2017/5/1/1677586164473856/1678579004612608/STEM/c35f0a87746d490d8077de28f3f2544f.png?resizew=61)
您最近一年使用:0次
2017-05-02更新
|
328次组卷
|
2卷引用:甘肃省白银市会宁县第二中学2019-2020学年高二下学期第一次月考数学(文)试卷
9 . 已知
为数列
的前
项和,
(
),且
.
(1)证明数列
是等差数列,并求其前
项和
;
(2)设数列
满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fcbda323b50f603056b47f141700a0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a70b95c53fb6655721e2a8c61f5c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c7266d90661cf4467f13c6f5eb670c.png)
(1)证明数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5a28cd035abe6bbf35f7d2b50eb917b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb54a0daa91a606fbe2c54263e2814bf.png)
您最近一年使用:0次
名校
解题方法
10 . 如图正方形ACDE所在平面与平面ABC垂直,M是CE和AD的交点,且
,
.
(1)求证:
平面EBC;
(2)求锐二面角
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/6/b1404641-05c8-4b55-bcd1-bc9a16d235fd.png?resizew=140)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0edb1508fc95765f3bb316bcb5252d.png)
(2)求锐二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a351d71fa01d3f5920e374a8ee7b524.png)
您最近一年使用:0次
2023-12-11更新
|
225次组卷
|
7卷引用:甘肃省白银市会宁县第四中学2015-2016学年高二上学期期末考试数学(理)试题