组卷网>知识点选题>利用图像平移求函数解析式或参数值
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1 . 已知函数eqId7aedbe785cd34d93afd9e963f307d03a是偶函数.若将曲线eqIdef14849ba04346999f9cdd05670b1e6b向左平移eqId4bbbce4c9d174148a92193e26d43bd72个单位长度后,再向上平移eqId37705e1ef6a84bbdbe88433e75932cdf个单位长度得到曲线eqId1942541e3e0c43ac97fcf12200fe70a2,若关于eqIda9cd3f94eb8045438f75e9daccfa7200的方程eqId7f0d123dd32f44868d007622c8ac23ddeqIdebd53af1d07b4a6f88d2b9343aff1a88有两个不相等实根,则实数eqIda4be99d332154d13a4a6ed1ff6444fe7的取值范围是(   )
A.eqId3a38395f01e941a8ba443c73b054ff57B.eqIdebedefbf6bfa4afdac16c80db6a6de37C.eqId9f0b2396a93740639937c6714f1b4a0eD.eqId593bc4bc0fc9440cae8200817a45bf0b
2 . 已知函数eqId15f17864f72648c094bb61a5538e128e
(1)求eqId6f13759e937144069819aed2ae5a1057的最小正周期;
(2)将eqId144eff5c0e4649138a21f2b1b6a06907图象向右平移eqIde859b6fa33a745508b041da473f02f95个单位后得到函数eqId7c3fb83bd6cb402a91a35f8807b8c986的图象,当eqId45bc372089834c80b9c8c3af506a0711时,eqIdfcaf3bbe14e548cc8d47beb2467db5a0的最大值为eqIdc052ddfbd4524f67a79e0e77c2e5656a,求实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围.
3 . 将函数eqIdeb4a44d4ebaf4d5c921bf2e7f8fc3b02的图象向右平移eqId145940d03af4447eabd753d76abd2a1d个单位与函数eqId8da6b5abda1840e4b937a8005de79a9b的图像重合,则eqId145940d03af4447eabd753d76abd2a1d可以是(   )
A.eqId1cd99d07edc94b00aca138e60139d5ffB.eqIdbe2ff766799b4160be060db65970c551C.eqId9e7f9209cee04cdb9a06395310730b31D.eqIda21b55ef906e44cfb9b58adef59456de
多选题 | 较易(0.85) | 2021·全国高三专题练习
4 . 已知函数eqId332d0163976a4f3fb5dc8af7b872dc4feqId6504e9c798e74111b3fc1f7c4f3f932c,若函数eqId48a08162af814cfdb0e426afbfae7551的部分图象如图所示,则下列说法正确的是(   )
说明: figure
A.函数eqId6f13759e937144069819aed2ae5a1057的图象关于直线eqId9ee4268a538b4e489834b67bcbc4771f对称
B.函数eqId6f13759e937144069819aed2ae5a1057的图象关于点eqId492e1635956f49f98d16a40e05a81d8eeqId935535601a2d419f8d636b586f9d312a对称
C.函数eqId6f13759e937144069819aed2ae5a1057在区间eqId3476854846954570951dd991a1dabe13eqId003aa01e750d447a811549410b429e4e上的值域为eqIdd9292cb100334a2c95cf75f3481ec819eqId07646dd703d54409a944013d004c001c
D.将函数eqIdeb71b51c9de447a696ea1c0d7eb2b8ce的图象向右平移eqIdf930a7cdc1294d03a4a23e13e916ba40个单位长度可得到函数eqId144eff5c0e4649138a21f2b1b6a06907的图象
更新:2021/08/01组卷:0
单选题 | 较易(0.85) | 2021·全国高三专题练习
5 . 已知点eqId0a8d0cb05c90457984f6e748cdeb0c8d在角eqId145940d03af4447eabd753d76abd2a1d的终边上,若要得到函数eqId082eecfef6fc4c0385f7f366376f58c7的图象,则需将函数eqIdda5ae47584d741d9ac51ce7d3915b16d的图象(   )
A.向左平移eqId236bfe74f1024849b3818a5cd741f299个单位长度B.向右平移eqId236bfe74f1024849b3818a5cd741f299个单位长度
C.向左平移eqId022e530e1dd6453ab54467745e9df0a8个单位长度D.向右平移eqId022e530e1dd6453ab54467745e9df0a8个单位长度
更新:2021/08/01组卷:0
6 . 已知函数eqId69aebc48ce2a41f987db3258d6f57904的图象如图所示,则下列说法正确的个数为(   )
说明: figure
eqIdca0a647c080949669e89e61473a6f866
eqId4837c94ef0ff4dcf9b1dda4df363275a在区间eqId01134c00b56c4f159342226c992da8c5上单调递增;
eqId4837c94ef0ff4dcf9b1dda4df363275a的一条对称轴为eqId156756c384414df1925d0a7242371d37
④要想将eqId4837c94ef0ff4dcf9b1dda4df363275a变成一个偶函数,可以将eqId4837c94ef0ff4dcf9b1dda4df363275a的图象向左平移eqId4bbbce4c9d174148a92193e26d43bd72个单位.
A.1个B.2个C.3个D.4个
7 . 函数eqId9862b8d68f4f49e39512d94b420285c1eqId0c10827df4214807ac8d1bda56ba2323eqId8ccf61601cf049d8a2100ee27d5b2419eqId596b64f01dcd48408ea5b90a0a2f0e8a)在一个周期内的图象如图所示,则(   )
说明: figure
A.把函数eqId2559dc53f3df4a7794e8da449dc02bbd图象上的所有点,向左平移eqId236bfe74f1024849b3818a5cd741f299个单位,就可得到该函数的图象
B.把函数eqIde15e3ebbf9a4430c89ccda5efe5d0ac0的图象上的所有点,纵坐标不变,横坐标变为原来的eqId6b2724baa0064c51b2ba39f5b281a1eb,就可得到该函数的图象
C.当eqIdac6efa54ad714829a6c3cf4288c8a2e5时,函数eqId4837c94ef0ff4dcf9b1dda4df363275a的图象与直线eqId8ee60f7c914f4f2b83bb912559c0c2ae的所有交点的横坐标之和为eqId82a40835e85a47b7bbce413d3aa5dc11
D.该函数图象的对称中心为eqIddc3b9a438525414e86336159893bfecfeqId912eadc0a40c4262bbd82d2a8f4409b2
8 . 已知函数eqIdf8e87dd3bf7a4b1a83a9f421ba6f8f1b
(1)求函数eqId6f13759e937144069819aed2ae5a1057的最小正周期;
(2)将函数eqId6f13759e937144069819aed2ae5a1057的图象向右平移eqId4bbbce4c9d174148a92193e26d43bd72个长度单位,再将所得图象上各点的横坐标缩短为原来的eqId49b7b111d23b44a9990c2312dc3b7ed9,纵坐标不变,得到函数eqIdfcaf3bbe14e548cc8d47beb2467db5a0的图象,求函数eqIdfcaf3bbe14e548cc8d47beb2467db5a0的单调递减区间.
更新:2021/07/29组卷:216
单选题 | 较易(0.85) |
9 . 为了得到函数eqId04a0448286b4485295a7215e5b41f2a9的图象,可以将函数eqId283256d4fea944acad2ff1070cde5b7d的图象(   )
A.向右平移eqIdb050c41d1513409598c00ecfe0de8603个单位长度B.向右平移eqId43059a1babed4850ab90728e475e4ce1个单位长度
C.向左平移eqIdb050c41d1513409598c00ecfe0de8603个单位长度D.向左平移eqId43059a1babed4850ab90728e475e4ce1个单位长度
更新:2021/07/29组卷:211
10 . 已知函数eqIdb527640c6f9f4c508acd61496ec1be34的最小正周期为eqIdf1470514d3384b7d8224a7712ab506bd
(1)求函数eqId6f13759e937144069819aed2ae5a1057的单调递增区间;
(2)将函数eqId6f13759e937144069819aed2ae5a1057的图像向左平移eqIdd3e88ecbd2db456396e01302a43b93d9个单位,再向上平移1个单位,得到函数eqId7c3fb83bd6cb402a91a35f8807b8c986的图像,若eqId7c3fb83bd6cb402a91a35f8807b8c986eqId0f3d61d3092243c7aead21b2736468ee上至少含有10个零点,求b的最小值.
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