1 . 已知数列
的前
项和为
,
(
为常数)对于任意的
恒成立.
(1)若
,求
的值;
(2)证明:数列
是等差数列;
(3)若
,关于
的不等式
有且仅有两个不同的整数解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c6e0c2d16cda7e8b2b8c588adeb8ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c5911e92fa55bd085fb8004d8943130.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/336b78c10d5c3e954c2436e5da84e33f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2020-05-16更新
|
858次组卷
|
4卷引用:2020届江苏省南京师大附中、淮阴中学、姜堰中学、海门中学四校高三下学期4月联考数学试题
2020届江苏省南京师大附中、淮阴中学、姜堰中学、海门中学四校高三下学期4月联考数学试题江苏省2020届高三下学期6月高考押题数学试题(已下线)预测07 数列-【临门一脚】2020年高考数学三轮冲刺过关(江苏专用)(已下线)专题02 等差数列及前n项和(专题测试)-2020-2021学年高二数学重难点手册(数列篇,人教A版2019选择性必修第二册)
2 . 已知抛物线
的焦点为
,准线
与
轴交于点
,过点
的直线交抛物线于
,
两点,点
在第一象限.
若
,
,求直线
的方程;
若
,点
为准线
上任意一点,求证:直线
,
,
的斜率成等差数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5975ba4e093e3eed64434596d945d4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf6c84731e5e1bd335ecfc2d36c3d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/157c4a262379cd672b3e7d4b924cf0d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67f314016dc1281c2a6c183c7dca2e92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f53190d6ead827a6338b9de847aeaf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7acff98078cdd32804d8f1c4efbe2ddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf25e032b5599ac49383de06e776365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8db072e2b6104671b82f948012fb45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf702adb116c1e46569eb7050d029f49.png)
您最近一年使用:0次
3 . 已知数列
的各项均为正数,其前n项的积为
,记
,
.
(1)若数列
为等比数列,数列
为等差数列,求数列
的公比.
(2)若
,
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/716c5a425d043483c598d4f7e401a16a.png)
①求数列
的通项公式.
②记
,那么数列
中是否存在两项
,(s,t均为正偶数,且
),使得数列
,
,
,成等差数列?若存在,求s,t的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23469af3e5be16af7fb4a5d3edca2652.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57165b3c8ffeee6e8372ea0daebee44b.png)
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/716c5a425d043483c598d4f7e401a16a.png)
①求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
②记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe62e27d9f294191ef325ca302b79515.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efafd4bd96fe69a11444e6662fd0c415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f09f29bb529ab9967a275b26e150c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d4ad9afdd266c6d38421bdfccd45e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31b6a20fe07023d2f1c386a7cb73d58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b924cf3c2252a73ec6809ca262643f7.png)
您最近一年使用:0次
2020-05-14更新
|
964次组卷
|
5卷引用:2020届江苏省高三高考全真模拟(六)数学试题
2020届江苏省高三高考全真模拟(六)数学试题江苏省连云港市赣榆区智贤中学2020届高三下学期高考适应性考试数学试题(已下线)专题20 数列的综合-2020年高考数学母题题源解密(江苏专版)(已下线)专题7 等比数列的性质 微点3 等比数列的性质综合训练(已下线)专题10 数列通项公式的求法 微点5 构造法
4 . 已知函数
.
(1)讨论函数
的单调性;
(2)若不等式
对任意
恒成立,求实数
的取值范围..
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b28952c969598fa4946c77a1b710e4d.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc622d6a6f72e28b6159fbcebf7595b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2020-05-13更新
|
392次组卷
|
2卷引用:2019届华大新高考联盟高三4月教学质量测评理科数学试题
名校
5 . 已知函数
.
(Ⅰ)当
时,求
零点处的切线方程;
(Ⅱ)若
有两个零点
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd9f97f7a85bf705634839ec09963826.png)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dae74c724114bfeff024dd7b79f5edc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4fd45000fe915a242d0e78a420068e3.png)
您最近一年使用:0次
2020-05-13更新
|
1591次组卷
|
5卷引用:2020届辽宁省大连市高三下学期第一次模拟考试数学(理)试题
2020届辽宁省大连市高三下学期第一次模拟考试数学(理)试题(已下线)专题1.13 导数-零点问题-2021年高考数学解答题挑战满分专项训练(新高考地区专用)(已下线)第29讲 割线法证明零点差大于某值,切线法证明零点差小于某值-突破2022年新高考数学导数压轴解答题精选精练四川省成都市武侯区第七中学2020-2021学年下学期高三数学(理)开学考试试题(已下线)第三章 重点专攻二 不等式的证明问题(讲)
6 . 两个数列
、
,当
和
同时在
时取得相同的最大值,我们称
与
具有性质
,其中
.
(1)设
的二项展开式中
的系数为
(
),
,记
,
,
,依次下去,
,组成的数列是
;同样地,
的二项展开式中
的系数为
(
),
,记
,
,
,依次下去,
,组成的数列是
;判别
与
是否具有性质
,请说明理由;
(2)数列
的前
项和是
,数列
的前
项和是
,若
与
具有性质
,
,则这样的数列
一共有多少个?请说明理由;
(3)两个有限项数列
与
满足
,
,且
,是否存在实数
,使得
与
具有性质
,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7728d33987f271f5ec625592076593b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02d032d57e0d95dddb3d4501249f1327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7728d33987f271f5ec625592076593b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02d032d57e0d95dddb3d4501249f1327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ca4f2b82d9d7a8323c8d697338a6a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7728d33987f271f5ec625592076593b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02d032d57e0d95dddb3d4501249f1327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5839a256b56cb644d8a76fa40da0f339.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce733aaa0bf65084fedbf529da36ef9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e668f6e2cbdb731bac88892e47fddf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e10f2f74e201f77f853e9ed9078615c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8140a39887c6b0b3f26b226c090a3127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78908ea2f65b1af56be13743cf5c3faf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e5531913e2f170465d8df01795cd51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf87d2d47a420aee5be760a6de0d3bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ef4c4439b36c2847b0056a116d56d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58a28198a932f4f9a93a4c613bbc2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce733aaa0bf65084fedbf529da36ef9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233427826eb2233641fc3a9805f6d206.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e668f6e2cbdb731bac88892e47fddf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e10f2f74e201f77f853e9ed9078615c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0f8b318bae5924c4d2b0194946f259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d54d77d1248bbd1398a828a3389ce78f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e5531913e2f170465d8df01795cd51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4ba468c3d2d7b3fa8e65885bfacf4a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d813f3ca8db41a4db6c18eac30fef98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ef4c4439b36c2847b0056a116d56d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d813f3ca8db41a4db6c18eac30fef98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d21ab17f8694a07cfcc9e63389b34690.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d5d0896cc32b7f445c3dab320482515.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce224c28ca451c4f105dc3b077736cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eded65284816fdf6bf335b0c2a78e6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a81decee0ccfa372af8951ca73ada38a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d21ab17f8694a07cfcc9e63389b34690.png)
(3)两个有限项数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/043d21c4badb8e2bd98390c7f1c25822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10b3cf64372426d1d2faff63d34fdcd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
名校
7 . 已知函数
.
(1)若
在
,
处导数相等,证明:
;
(2)在(1)的条件下,证明:
;
(3)若
,证明:对于任意
,直线
与曲线
有唯一公共点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/480c7f80819f8c70c3ca19234c8df5e1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/971905ea129aec0ca7c325f60260c7e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a93969738a9bb969f40cf587f1d5d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c278074d0c3c86d4f1c5173085869f68.png)
(2)在(1)的条件下,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f7008a5f3b6932c88b451929dc454e7.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b1dd754362549d8fb06c522c6c4bd33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f93cdd3d8ab4fd099527d94e2613efca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
您最近一年使用:0次
8 . 已知有穷数列A:
(
且
).定义数列A的“伴生数列”B:
,其中
(
),规定
,
.
(1)写出下列数列的“伴生数列”:
①1,2,3,4,5;
②1,
,1,
,1.
(2)已知数列B的“伴生数列”C:
,
,…,
,…,
,且满足
(
,2,…,n).
(i)若数列B中存在相邻两项为1,求证:数列B中的每一项均为1;
(ⅱ)求数列C所有项的和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55aea2d6309205fe59687ea3440bb2e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edfe398651d365506cabd498ee5d1556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860a70d427b4c46206e43f17299e9b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11829c0cd3e74ffdf951e2d484718d9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b740bc48c9718a294c11a1485fd14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897b606fdc64a88a0938d3d60c3ea3e9.png)
(1)写出下列数列的“伴生数列”:
①1,2,3,4,5;
②1,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
(2)已知数列B的“伴生数列”C:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7936359df4c926b72b48c6fdae55f12d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b76f79be89b8c6227b68eded6b675546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9e5dfcc28321b563a8012ec2899c502.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59e7c7a84a4bdb959e95536d0404ceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d84a2027dc4157991c40673b6b4d23a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
(i)若数列B中存在相邻两项为1,求证:数列B中的每一项均为1;
(ⅱ)求数列C所有项的和.
您最近一年使用:0次
解题方法
9 . 已知函数
.
(1)若
恒成立,求a的值;
(2)在(1)的条件下,若
,证明:
;
(3)若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf316d7b9027a4b6827dd92615db727f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/babc2bdb59e9ae1821bd48e7395474d8.png)
(2)在(1)的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b767c33d36acbb9b5110ad0652237652.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d24557ce9b9e5be851807f5364975519.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb58d7140ff86e14dd24dd1e5bd6e200.png)
您最近一年使用:0次
名校
解题方法
10 . 已知点
是椭圆
的右焦点,过点
的直线
交椭圆于
两点,当直线
过
的下顶点时,
的斜率为
,当直线
垂直于
的长轴时,
的面积为
.
(Ⅰ)求椭圆
的标准方程;
(Ⅱ)当
时,求直线
的方程;
(Ⅲ)若直线
上存在点
满足
成等比数列,且点
在椭圆外,证明:点
在定直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98214cac757430c9d5775ad0dadb185a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.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/25dd698d57d1cf239eb8752aecaaa4f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
(Ⅰ)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(Ⅱ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ebde58ddedcd6c53580d41dd5dbd0cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(Ⅲ)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e35b1c1dffbaccc72196ed21a0cea04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
2020-05-11更新
|
1616次组卷
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5卷引用:2020届天津市南开区高考一模数学试题
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