名校
解题方法
1 . 已知数列
的前n项和分别为
,且满足
.
(1)求数列
的通项公式;
(2)求
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/478421b81927e435cbcf5acafa89efd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/457f64544141b2428f8b1a4306ec42ab.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
名校
解题方法
2 . 已知坐标平面上点
与两个定点
,
的距离之比等于2.
(1)求点
的轨迹方程,并说明轨迹是什么图形;
(2)记(1)中的轨迹为
,过点
的直线
被
所截得的线段的长为
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d259822ab64b8626f3893b8432673358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e95e84f5c91c910aaafc5e74dbfbdf59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55d12701014cf53071093e8739d089b.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)记(1)中的轨迹为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97caea8ea20c118920d887d2ee9ac83d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2023-11-10更新
|
687次组卷
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3卷引用:吉林省松原市前郭五中2024届高三上学期第三次考试数学试题
名校
3 . 在四棱锥ABCDE中,AC,BC,CD两两垂直,
,
,
.
(1)求证:DE⊥平面ACE;
(2)求直线BD与平面ACE所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43f1058c75d95f314e4f5739838e388c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833cfda415649b832cc136caed392753.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b41f2f95d643629321deb6e905c4f1ed.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/8/2e760242-ebb9-43ef-984d-0aa2779c53fa.png?resizew=130)
(1)求证:DE⊥平面ACE;
(2)求直线BD与平面ACE所成角的正弦值.
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2023-11-08更新
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2卷引用:吉林省松原市前郭五中2024届高三上学期第三次考试数学试题
名校
解题方法
4 . 已知在
中,角
所对的边分别是
,且
.
(1)求
的大小;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b729838d1cf5b26f4dc2072e0f4aa96.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82986ab38a4ae58593191ccae2a44f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1810555c0c28fe352841322b85bbc6.png)
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名校
解题方法
5 . 在
中,内角
的对边分别为
,且
,
.
(1)证明:
;
(2)若
的面积为
,求
边上的高.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e30c0a5c92f50dce1f7624709950ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ec18aa8ab6f4a4e70722e4df77c9c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe29c42302504e7fd8577dbc7d130ac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95485ae011578040562dcb34b463cc7a.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0e670c17942c7db3173409fcce0af56.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c70bb6b41fb1bb0894390e93230bdd24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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2023-10-16更新
|
542次组卷
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3卷引用:吉林省松原市前郭五中2024届高三上学期第三次考试数学试题
名校
解题方法
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06678b48ba1d12f0748bbed1a9d27478.png)
(1)若
,证明:
;
(2)设
,若
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06678b48ba1d12f0748bbed1a9d27478.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62b74522d84abe0dc4d5983694ea748.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1411c719bc69f11b60e566baa09f383c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b4fe5e35859136dafc3373c01009f24.png)
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2023-09-29更新
|
2060次组卷
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4卷引用:吉林省松原市前郭尔罗斯蒙古族自治县第五高级中学2023-2024学年高三上学期10月月考数学试题
吉林省松原市前郭尔罗斯蒙古族自治县第五高级中学2023-2024学年高三上学期10月月考数学试题湖北省武汉市华中师范大学第一附属中学2023届高三5月适应性考试数学试题(已下线)第六章 导数与不等式恒成立问题 专题六 单变量恒成立之参变分离法 微点4 单变量恒成立之同构或放缩后参变分离综合训练辽宁省沈阳市东北育才学校2024届高三第三次模拟考试数学试题
名校
解题方法
7 . 已知各项均为正数的等差数列
的首项
,
,
,
成等比数列;
(1)求数列
的通项公式;
(2)若
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f5790befbb1d2992c6386ff50b44c47.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2270590b21d3ce27efeb0646a71082.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2023-09-26更新
|
921次组卷
|
6卷引用:吉林省松原市前郭尔罗斯蒙古族自治县第五高级中学2023-2024学年高三上学期10月月考数学试题
名校
解题方法
8 . 已知数列
满足:
,
,数列
是以4为公差的等差数列.
(1)求数列
的通项公式;
(2)记数列
的前n项和为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780a1b00ea3a4fec3069509041c84511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae8aa3e510f891053e546b003d70eec2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82c65a855b1eed9c43e6829f6c3bffb.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)记数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cf1da18d91f7c98086553d157d1a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08c9965a04c2a6de04e949a15762f372.png)
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2023-09-15更新
|
1559次组卷
|
3卷引用:吉林省松原市前郭尔罗斯蒙古族自治县第五高级中学2023-2024学年高三上学期10月月考数学试题
名校
9 . 如图所示,在
中,已知点
在边
上,且
,
,
.
,求线段
的长;
(2)若点
是
的中点,
,求线段
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febeb45acb37d201f3b2d6320554c151.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc3f0ff8d944ac32bf96225e85e6908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d649afbddd907f0dfec1420f02f82fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/680f5d2533547bd9302a8caf496f4b88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2a9d7544dc3a884958a893771e104cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
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2023-08-22更新
|
859次组卷
|
3卷引用:吉林省松原市前郭尔罗斯蒙古族自治县第五高级中学2023-2024学年高三上学期10月月考数学试题
名校
10 . 已知函数
.
(1)当
时,讨论
在区间
上的单调性;
(2)若当
时,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a21209dd0532728be5122c6fabf7ee9.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9722ddc8610ca4741e3aaa41240a16e.png)
(2)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44c7007d2eb25abebb54ab44faed8173.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-08-02更新
|
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4卷引用:吉林省松原市前郭五中2024届高三上学期第三次考试数学试题
吉林省松原市前郭五中2024届高三上学期第三次考试数学试题安徽“小高考”2024届模拟考试数学试题安徽省合肥市肥西县2022-2023学年高二下学期阶段性测试(期末)数学试题(已下线)第09讲:一元函数的导数及其应用 (必刷7大考题+7大题型) -2023-2024学年高二数学上学期《考点·题型·难点》期末高效复习(人教A版2019)