高等數(shù)學(xué)A(1)-上海電機(jī)學(xué)院學(xué)習(xí)通超星期末考試答案章節(jié)答案2024年

高等數(shù)學(xué)A(1)-上海電機(jī)學(xué)院學(xué)習(xí)通超星期末考試章節(jié)答案2024年/star3/origin/d303034921b7a6176b26aab86cdc74d2.png

答案:；{x▕x≤1/2且x≠0}/star3/origin/5b03d1f63a50c382c5b4515aadf865cd.png

答案:有界函數(shù)/star3/origin/64a08c1ee1cb9d8f82b28fb7855c71db.png

答案:必要而非充分條件/star3/origin/997cbdfa32cea5ee314bd5231dce588b.png

答案:-1/2/star3/origin/2ce02bd1ad7e5aaa1f4aca3339e41c56.png

答案:3/2/star3/origin/537c19b413da1eefa1b74fce299b08cf.png

答案:0/star3/origin/d0edddf8e549cebfafd19d3480c04e9b.png

答案:0/star3/origin/26f11e0057da13b4c17227014bdeabfc.png

答案:無(wú)界變量/star3/origin/b9676f3a383abab76722d1f74764e5bc.png

答案:原式/star3/origin/bca5f2b9d8ad2b3fb7c8a0463940601f.png

答案:原式/star3/origin/a5b0a953908bd9922898e2e6e932df26.png

答案:原式/star3/origin/a89d824ee51d7d869d6c0f101b4dcb11.png

答案:原式/star3/origin/687d32a7353d7142bc25bc0d5bf710f2.png

答案:;e;;1/e^2;e^-2/star3/origin/3b8de344a7a754cddf86180aa50de6cd.png

答案:;e^-1/2/star3/origin/31443f4c65b713a9cdeb7abb0a45bf1e.png

答案:0/star3/origin/6c6b3115f76068ea90b47031ea0d510f.png

答案:;e^8/star3/origin/a42e3798ed79e3c34c4f01072da37181.png

答案:;e;1/e^3;e^-3/star3/origin/a3e3325111f55bfd35f127ce8e8021ee.png

答案:1/star3/origin/e56629555559f7c20763d56549ab3a43.png

答案:2/5;0.4/star3/origin/33ed29798256193dca4841338665aa71.png

答案:0/star3/origin/fe464aa2049ad312a749d6b5a9848a16.png

答案:;e^2/star3/origin/5ac31cfe8a0ea978a01c4a2b8800b8cb.png

答案:3/star3/origin/9616f01197a80493566b3d8ae7a26f19.png

答案:1/ananas/latex/p/4862343

答案:e/star3/origin/69b44fe3fa37fade39c61bef519e823c.png

答案:;e^-2/star3/origin/24b914f02ea2deead17db5aab753c0eb.png

答案:不存在/star3/origin/2511d31203c3407eadc5bfe143f436a8.png

答案:原式/star3/origin/a63c7451e630712b09b573ff5cc01e91.png

答案:原式=/star3/origin/40bc4830997cd1e0ab4e50caaa779149.png

答案:原式/star3/origin/85f2f12570f4fba892a51030677fb5c4.png

答案:原式/star3/origin/173ce57857921b571adadea964af22d7.png

答案:原式=/star3/origin/94aa1139ae96031ab96f6608c434871b.png

答案:原式/star3/origin/9e8c6b9ac130e3c644dded3e60c23b21.png

答案:原式=/star3/origin/b867fb92c4acada2af238c683a909258.png

答案:-2/star3/origin/0251ab395a2209fd45536f08c3736dc4.png

答案:-1/2/star3/origin/d547aca4e6650cb56b0429a04d5c12f0.png

答案:1/3/star3/origin/e198b5f360c6f5fd3e42af294a5315ac.png

答案:2/star3/origin/d29aa12cc17dc9956ab44453e94b5ca6.png

答案:1/6/star3/origin/4237b341fb598aae4d3fe083b979499e.png

答案:設(shè),則在連續(xù),,,,所以由零點(diǎn)定理可知,至少存在一點(diǎn),使,即方程在區(qū)間內(nèi)至少有一實(shí)根./star3/origin/6d53d253ca1254106ff850d58bcb7018.png

答案:設(shè),則在連續(xù),,所以由零點(diǎn)定理可知,至少存在一點(diǎn),使,即./star3/origin/b5c77c30cc8a7c8417e3019e15d7a7f3.png

答案:,,因?yàn)楹瘮?shù)在處連續(xù),所以,即./star3/origin/a0d21868c5f9b1e2e8c997bd569ed26d.png

答案:在和無(wú)定義,因?yàn)?所以為第一類可去間斷點(diǎn);因?yàn)?所以為第二類無(wú)窮間斷點(diǎn)./star3/origin/dd491ff34bbe552981e77f72aa48d713.png

答案:因?yàn)楹瘮?shù)在處連續(xù),所以,所以/star3/origin/a18512ff5d60e82ddd5b3ff3dc1b470d.png

答案:1/2;0.5/star3/origin/1f0a04cc9155d07f7a69d81390656667.png

答案:2/star3/origin/f112f5f622e37e1fde2f56f204360f3a.png

答案:無(wú)窮;可去/star3/origin/0c8db7931e0faf45da671a212eb165b4.png

答案:2/star3/origin/3f486aaadbff2af59540a660a7df8a08.png

答案:連續(xù)/star3/origin/82f49dc45cb99f06f78692fadeb12464.png

答案:處間斷,處連續(xù)/star3/origin/8949205c2da15732f59c95c6c266b193.png

答案:跳躍間斷點(diǎn)/star3/origin/949cc31ee7bae5a53d1dcc933b0128cc.png

答案:跳躍間斷點(diǎn)/star3/origin/3aef50ebce8e55ef7ea905105f253187.png

答案:連續(xù)點(diǎn)/star3/origin/1ff923fd2a5b13cd64f3f97baf0e5e6f.png

答案:跳躍間斷點(diǎn)/star3/origin/32754f9a4aaa89d7ae936b72aa4d2465.png

答案:可去間斷點(diǎn)/star3/origin/7345a6827b7b1bf5bb0cda92588d39b2.png

答案:可去間斷點(diǎn)/star3/origin/72991597b75b8ee7fd5c7092e354c7f4.png

答案:10/star3/origin/2a75ede8eb5062ec9eed880d56fb69f1.png

答案:20/star3/origin/63332dba243365753585ca0a4d39c55f.png

答案:-1/star3/origin/0a20c97de643d3854f6fa83fc971b20b.png

答案:4/star3/origin/a16593dbcdc69849a973d5f433cb0993.png

答案:1/star3/origin/6889cfdbe4d2a75d37f8d59f9fdf2b5e.png

答案:2/star3/origin/2c9c4c643acaf9a52f668595f842cfab.png

答案:連續(xù),但不可導(dǎo)/star3/origin/d170b6ce68c8eb633cdb7daad9afc52e.png

答案:不存在/star3/origin/07b081fcba1ce1a01069b0e8f8f0c88a.png

答案:24/star3/origin/900a20b3c9d6ea25fff659c46b59a7bb.png

答案:一階導(dǎo)數(shù)存在/star3/origin/eeddeb04960576f58bd902e2be90d488.png

答案:左導(dǎo)數(shù)存在,但右導(dǎo)數(shù)不存在/star3/origin/0b9c4e4cb769dbdc07768237b38b1cfe.png

答案:./star3/origin/07ec94b4ae4207bf8bd299acc2366e1e.png

答案:./star3/origin/7c1fccc2254715918482a1e5ce526e37.png

答案:./star3/origin/bc4cc95f25ac30f37bcf7337cf3b8d03.png

答案:./star3/origin/7b0ee12862e88a2b0d998048f665bc6a.png

答案:./star3/origin/ef4146c23c1d8b68a97c49b7f2f6054a.png

答案:./star3/origin/cdf79578813099a23ae017338e54b53e.png

答案:0/star3/origin/752d43e9e6a7b584be72b2ee596d58cb.png

答案:y=2x+1/star3/origin/a25b2134437b93c4e0bd1821768699a5.png

答案:2/star3/origin/52a449d0994319ac566a24514000e49b.png

答案:-/star3/origin/c728f84ce1e9c965656ffe2f8374283c.png

答案:+/star3/origin/3b9fceb50c2364065b439382a3c25359.png

答案:,./star3/origin/23590ea3166130afa0d0e5f57feb5b6b.png

答案:./star3/origin/5dcd8cde555bc2370832cd5de1cb858c.png

答案:,./star3/origin/51ebc974c6424aa662d67bceedd9da7d.png

答案:./star3/origin/55b86c88718c77d75019d6cdde2847ec.png

答案:./star3/origin/bf9537fa1bd21447abe58f2ce95c6466.png

答案:,將代入得/star3/origin/e43fd129fda85b64632b2a4934cde394.png

答案:對(duì)方程兩邊求導(dǎo)得:∴/star3/origin/e7965fe65780901cedca9c4b23d5a3b1.png

答案:；-2/star3/origin/0ffddae35fe9172bf0d3318c062aa068.png

答案:；1/star3/origin/a51c016f0ebc167852d95d3740c3e942.png

答案:./star3/origin/6b3b41311c7a81cbc26301f0dbb32ca6.png

答案:./star3/origin/b0b6a85eb44a67e572017d2f50390e96.png

答案:./star3/origin/a131f371bd2da095fb48b6f4d88fbf63.png

答案:的同階無(wú)窮小,但不是等價(jià)無(wú)窮小/star3/origin/6f4a04011e6c3fcbd3a456bc146f647d.png

答案:（1）對(duì)函數(shù)在上用拉格朗日中值定理,又

故.（2）令,易見在連續(xù),在內(nèi)可導(dǎo)

又,故

故存在,使所以

即/star3/origin/679cc4f7db236e3a8ba2a2718e6e4f53.png

答案:【知識(shí)點(diǎn)】羅爾定理/star3/origin/4d159f9afc92e161fce0d84d5e95f8d1.png

答案:原式=其中故原式/star3/origin/c3bbfe1152c4b651c4563b826ceb22c6.png

答案:原式/star3/origin/310837565a764e1b1cf6b9c8e0f7ccc2.png

答案:原式解法2:原式/star3/origin/3a4c050e3bc62c67a9816100a747247b.png

答案:原式/star3/origin/8d65d9f68b40791504d6b79ae31203d7.png

答案:原式=/star3/origin/9602759a531076d43b7939ce4c59cb7e.png

答案:原式=/star3/origin/f1cfb512747a6f8860e443c41ad2f2cf.png

答案:=/star3/origin/87d4645655e5a068870f097e3b7171b9.png

答案:原式=/star3/origin/5c433a3323be415e5f74ebd66f8f10e3.png

答案:原式/star3/origin/8ca145adde172364ab3d8d18e61015f6.png

答案:設(shè)故在上單調(diào)增,又=0∴當(dāng)>1時(shí),=0,即./star3/origin/23de638ac38478f35d85772226a9e87d.png

答案:定義域?yàn)榱顔握{(diào)增區(qū)間為,單調(diào)減區(qū)間為(0,2),無(wú)極大值,極小值為./star3/origin/7c5b2d781f66821dc8f74c10eb30e956.png

答案:令,得或;列表單調(diào)遞增極大值單調(diào)遞減極小值單調(diào)遞增函數(shù)的單調(diào)遞增區(qū)間為,,單調(diào)遞減區(qū)間為極大值為極小值為/star3/origin/cb844c768f2773504481f8578183ed8a.png

答案:1；1/star3/origin/25a0c76a75c2288ab5728c9a821c40dc.png

答案:；-1/star3/origin/4c90bf58be8e441fd5db2f28b20dcec3.png

答案:極值點(diǎn)/star3/origin/70f3d190309cd2043f78e40e7236d571.png

答案:必有極大值/star3/origin/974ea4c2de3c9db14acc9b6be9c66f36.png

答案:極值點(diǎn)/star3/origin/ecfbb6f7b9edede3212d1fc5f42c4c3e.png

答案:單調(diào)增加/star3/origin/efb1e2b47c293ec9552e3f82336dc457.png

答案:設(shè)長(zhǎng)方形小屋長(zhǎng)為,則寬為,小屋面積為由,得為唯一的駐點(diǎn);又,故為極大值點(diǎn),即最大值點(diǎn).當(dāng)長(zhǎng)為10米,寬為5米時(shí),小屋面積最大./star3/origin/6d7ba28fc64fd63202e6b1a50efea428.png

答案:；625/star3/origin/e3fbe03fc1eeee21a9ce88e0fefedf9c.png

答案:；5/4；1.25/star3/origin/6f4fdbd5fef89d73881f455d515fe169.png

答案:1/star3/origin/aa64f184529d3052ea0efcaab54c8406.png

答案:1/star3/origin/f9f1a46c86f59839f95a8cbbe681a948.png

答案:一定是的極小值/star3/origin/dbb7f054af6b124f52075e0d38d616f3.png

答案:極小值點(diǎn),也是最小值點(diǎn)/star3/origin/0cf9adac4d71c95e57fe2ad42470ff55.png

答案:令得令得增區(qū)間:;減區(qū)間:凸區(qū)間:;凹區(qū)間:拐點(diǎn):/star3/origin/8f48fc4a7eca643d73b18ce5412563eb.png

答案:,令得令得增區(qū)間:,減區(qū)間:,凸區(qū)間:,凹區(qū)間:,拐點(diǎn):/star3/origin/b08422cabde051392fc7f4cef48ac428.png

答案:(-∞,-1)-1(-1,1)1(1,+∞)-0+0-凸的取得拐點(diǎn)凹的取得拐點(diǎn)凸的即拐點(diǎn)為/star3/origin/9517a73614b80454f82de4cffcb02a74.png

答案:單調(diào)增加、凹的/star3/origin/962d4a0a7928606be162eef65ad0f708.png

答案:上升,凸/star3/origin/2120beeffb748be695f23250511dc4ee.png

答案:單調(diào)增加且是凸的/star3/origin/42180c868c178ecb569573ad02429ce7.png

答案:單調(diào)增加且是凸的/star3/origin/75d88d0c6f7d3d97940187d7e42c1d1d.png

答案:拐點(diǎn)/star3/origin/db671a9fda6ed8cdeb1ed77c1a748c4a.png

答案:2/star3/origin/78902ff0e7d105fb3caf803026c4a89b.png

答案:2；2/star3/origin/03fe2e4b6c07886f5438a84d176255e7.png

答案:有三條漸近線/star3/origin/97bcc7548b351c4bea8f2e1425dce62d.png

答案:只有水平漸近線/star3/origin/3d262a96078e851444c959fdcb5e7982.png

答案:2條/star3/origin/0c8d81550548f821621ea842041c8168.png

答案:有水平漸近線/star3/origin/355d7298f4cc9b5bfcb84aa19c39e17c.png

答案:原函數(shù)與不定積分的概念得:/star3/origin/48d96dca1f1208e2336f2686bd7abe0d.png

答案:原式/star3/origin/a1b1f634a07bd74d9177cb8d0a9cfe05.png

答案:原式/star3/origin/9b77819d89456ea7011bb60b497270ec.png

答案:設(shè),原式=/star3/origin/81845b63a3d05064e6d7d876993eb296.png

答案:設(shè),,,/star3/origin/df8cea43b0d58fbca25c6c7a1ca25a5a.png

答案:設(shè),,,/star3/origin/c32a53f18789e36b3189fd2b0d5a105c.png

答案:令,,于是/star3/origin/025de7fbfd5249f61575499ccf4c295f.png

答案:令,,于是/star3/origin/b8b2172eeff2858ba0d0089a24e65e99.png

答案:設(shè),原式/star3/origin/f2a142c740d6b2721f6311789df649cf.png

答案:設(shè)原式=/star3/origin/58fdce68560a4247619be82c111ad1e5.png

答案:設(shè)原式/star3/origin/390952be952c0ad54183aee3ff306c89.png

答案:令,則,原式/star3/origin/88c98d0b3872a5471f874d4b11542563.png

答案:令.=/star3/origin/8998932a276738e8c9c93a2b86925427.png

答案:由題意知,/star3/origin/e1c756437ed57770940d3573690d49d2.png

答案:設(shè),則原式/star3/origin/bbf7679f0148a751ad8d7b587b89af1a.png

答案:；16/star3/origin/97f04b99ca4cac59222e32b2d24dd575.png

答案:；-7/star3/origin/d7037449baf843366a13b94b46e8c529.png

答案:；-3/star3/origin/db6bf04c48e16cb7074f46f8788a4259.png

答案:；5/star3/origin/e29d0a2fd2658d8c2169be1eb1bb0ce7.png

答案:0；0/star3/origin/13a6247bfb6c70a810a43ae47ac19c29.png

答案:0；0/star3/origin/3aa92b84ad101d3f0cc0820a875937a8.png

答案:是上必定存在的某一點(diǎn)/star3/origin/ab22fc2600cc08e9f6dbe131fea6ee65.png

答案:原式/star3/origin/e8dd34891ac5b2298aaf76c48b98645a.png

答案:原式=/star3/origin/b1460da3a5d203b44a0c3eb0d7d51d5f.png

答案:原式=/star3/origin/829289b7555b8b80a086bada1928804e.png

答案:原式===./star3/origin/d93262aafb3d51456a75be8eef909e4a.png

答案:===./star3/origin/2a73e0fc2759f1f96845650997712a2a.png

答案:原式=./star3/origin/85a890a3948e82522c0178aefb1ec89f.png

答案:原式=./star3/origin/dfe40fd5e4949c4b886817ecbae7504c.png

答案:原式=./star3/origin/26808c07cdf382bb91425a45e9d90fd5.png

答案:；-8/3/star3/origin/d580c4fecceac0da6824d973927778a4.png

答案:對(duì)積分換元,令則;當(dāng)時(shí),;當(dāng)時(shí),;故/star3/origin/1c335f78e33457302a66780eabfcb80e.png

答案:令,,,;原式/star3/origin/7df5cbfe14533bf1f43d0f5c001c5f2f.png

答案:令,;當(dāng)時(shí),當(dāng)時(shí),;故/star3/origin/f1c28dea61f9df323deac2e166d5ffcd.png

答案:令,則,當(dāng)時(shí)當(dāng)時(shí)所以./star3/origin/337eeeba7603828d6864858f553c8948.png

答案:令則,原式=./star3/origin/ede4302336646fc0a267a8d095683669.png

答案:令,則.當(dāng)時(shí),,當(dāng)時(shí),.==./star3/origin/3b35a6890472c85e8f48e838a4c2b66d.png

答案:令,則.當(dāng)時(shí),,當(dāng)時(shí),.=./star3/origin/29bd3780b829d0c4a92256f1f00312e2.png

答案:令,則.當(dāng)時(shí),,當(dāng)時(shí),.=====./star3/origin/c708f2fa95639afd523d89a3b43fb70f.png

答案:原式===./star3/origin/15629fefcb04f61203b7b82006354fe9.png

答案:；92/3/star3/origin/92eb9d007a3a3f7d380bc3079b5f8c25.png

答案:；3/2；1.5/star3/origin/ddde6622ab0abbfdc90fcd5e82ee10fb.png

答案:原式/star3/origin/727bb8c5caf01e9bdaa5c870d0bbdba6.png

答案:由于為的一個(gè)原函數(shù),故,.====./star3/origin/eddae4afa9aa4600c03c9f2bc46b82be.png

答案:原式====./star3/origin/5819d5f2463e0179e12112b8d36949b5.png

答案:原式====./star3/origin/58888406bbdd9ce2bba1a53e642f1158.png

答案:原式====./star3/origin/3911899728851bfd2e5d904c16e49949.png

答案:原式====./star3/origin/bbd5c3b752381ae1f68d85ef508af445.png

答案:原式=====./star3/origin/7511078b784ec189fe4935c3209281e4.png

答案:原式=====./star3/origin/c749272479ba1896dc5c215b65aaec55.png

答案:原式=====./star3/origin/7f5aff9283340d01e44f28da2f2772be.png

答案:原式=====./star3/origin/32bc1d60ffaee10b7221a8c3a3ab4e8e.png

答案:；1/star3/origin/8e6fc630ce795e8674d6eaeee089b906.png

答案:發(fā)散/star3/origin/5e0506d71490b6ca43684b8e6e196ccf.png

答案:發(fā)散/star3/origin/20c5b7105e6eb3e09071be4f7331af1f.png

答案:由得交點(diǎn)為,平面圖形的面積,旋轉(zhuǎn)體的體積./star3/origin/36a5403c4c93a2210e27c688b5f1fbdd.png

答案:曲線交點(diǎn)為,./star3/origin/980a1bb8f90208eaaecf8746f9cfe64f.png

答案:由得交點(diǎn)為故所求面積,所求體積為./star3/origin/bcc6a177062cb9b33bc1ce4191126c94.png

答案:曲線的交點(diǎn)為和,面積,

體積/star3/origin/4295556ca425f65f265dbd6cd1defce0.png

答案:曲線的交點(diǎn)為,和,面積,體積./star3/origin/9912b40442fd3f318b520a7aa9d2f127.png

答案:,./star3/origin/8d070c14c4384869bb25f91071c15416.png

答案:,./star3/origin/df7ed08e9166aee3e6947c1e27892c3d.png

答案:,./star3/origin/d261c7f70581aa4d2554899f186b4074.png

答案:,./star3/origin/74c79811e5c98583d05d8b717da3dc77.png

答案:；4088/27/star3/origin/f5acb8cf0d3080d5486b7a34f0afb833.png

答案:；14/3/star3/origin/de361e96d4c4d09227fc9d98324548dc.png

答案:；1/6/star3/origin/7edcfce95e1f3120c7bd2611a8d9bf99.png

答案:；18/st