ᆛၡ܄ෳᡍӧਸ௲ػϐᔈҔ
ഋᒴᗶ դԽ ቅ෩ο
௲ػύᒤϦ࠻ ୯ҥѠύ௲ػεᏢ ٥ࢪεᏢ
˸ˀ˄ˆ˃ˆ˓̀˴˼˿ˁ̇̃˷˸ˁ˸˷̈ˁ̇̊ʳ ʳ ʳ [email protected]ʳ ʳ ʳ ˿˻˶˓̇˻̀̈ˁ˸˷̈ˁ̇̊ʳ
ᄔा
Ҟ୯ϣѦа၂ᚒϸᔈፕ(Item Response Theory)ඵૈምᛖᏢғޑ߄ᆶወӧ፦ (latent traits)܈ૈΚ (abilities) ໔ᜢ߯ޑࣴز٠όӭǴҁፕЎаҗৣεЈෳύЈว୯ύ୷ҁᏢΚෳ ᡍޑᜢᗖਡЈמೌ IRT ࣁ୷ᘵǴஒ၂ᚒϸᔈፕϷ ႝတϯ܄ෳᡍຑໆচᔈҔܭਸ௲ػሦୱǴ׆ ఈૈวрӝيЈምᛖᏢғૈΚຑЪঋ ڀࣽᏢፕ୷ᘵϐёՉኳԄǶ ! ! ҁࣴزаଯᙍ௲ፐำᆜाጓᇙ ჴҔኧᏢૈΚख़ाࡰϷ၂ᚒǴၮҔ၂ᚒϸᔈፕ ΟୖኧჹኧኳԄϩǴаΑှଯᙍ௲ᏢғჴҔ ኧᏢำࡋǶനࡕࡌଯᙍ௲ჴҔኧᏢ᠘ۓ܄ ෳᡍسǴаගٮঁձᏢғനεૻ৲ໆ၂ᚒࣁ܄ ᒧᚒౣǴҗᆛሞᆛၡᇻຯጕࡼෳǴਥᏵڙ၂ޣ ӚเᚒಔࠠǴ،ۓځૈΚёૈပᗺǴ٠ᙖҗႝတம εၮᆉૈΚǴջਔᒧᚒࡼෳǶ ࣴز่݀วǺႝတϯ܄ෳᡍ಄ӝਸ௲ػ ȨঁձϯȩǵȨ܄ϯȩᆒઓǺҁسঁᏢғጕ ࡼෳޑᚒԛ֡όӕǴаന಄ӝঁձᏢғૈΚ၂ᚒ ՉຑໆǶࡼෳ่݀࣪၂ᚒϷբเਔ໔ѳ֡ၲ 23.56 ʘǴЪϝૈྗዴຑঁձඵૈምᛖᜪᏢғኧᏢૈ ΚǶ ᜢᗖຒǺ၂ᚒϸᔈፕǵႝတϯ܄ෳᡍǵଯᙍ ௲ǵਸ௲ػǶ
Abstract
Referring to the Item Response Theory (IRT), there are actually few researches of the relation between the performance and the latent traits or the abilities of mentally retarded students. The prime goal of this study is to introduce IRT and Computerized Adaptive Test (CAT) to special education, hoping to develop a feasible way to evaluate mentally retarded students’ ability with a scientific method.
With the better understanding of students’ ability in the subject, we can then use IRT as a basis to construct a useful CAT system on the network. By the powerful calculation of the computer, the CAT system can immediately assigns question to target students by their item response pattern. The pool of questions consider offering the largest amount of information to subject.
The CAT meets the ‘Individualized’ and ‘Adaptive’ needs of what is requited in special education. By the system, each student who takes the
online tests will face different series of questions. In line with student’s individual ability, the amount of questions on the test will be given accordingly. The result of examining can save the examination questions and answering time up to 23.56% in average. Moreover, we also can exactly evaluate specific mentally retarded student's mathematics ability accurately.
The results of research are:The CAT meets the ‘Individualized’ and ‘Adaptive’ needs of what is requited in special education. By the system, each student who takes the online tests will face different series of questions. In line with student’s individual ability, the amount of questions on the test will be given accordingly. The result of examining can save the examination questions and answering time up to 23.56% in average. Moreover, we also can exactly evaluate specific mentally retarded student's mathematics ability accurately.
Keywords: item response theory, computerized adaptive test, special education.
1.
ق
ןշ১༈ဂ௲ػࣁࡹ۬࠹Ңࡼࡹख़ᗺЬື ϐǴࣁيЈምᛖᏢғޑܜຝࡘԵૈΚၨࣁᖓ১Ǵ ᆛၡၗྍၮҔ௲Ꮲ҅ёаගٮڀᡏϯǵғࢲϯǵ፪ ښϯаϷჴҔϯޑᏢಞᡍȐԙܴǴ҇ 86ȑǶ܌ аࢫᄪࡿȐ҇ 88ȑࡰрჹܭਸ௲ػԶقǴᔈҔႝ တӧեᏢಞૈΚำࡋޣКଯᏢಞૈΚᏢಞޣਏ݀ ӳǶ܌а൩ਸ௲ػӚᏢࣽ௲ᏢሦୱӵჴҔᇟЎǵ ჴҔኧᏢǵғࢲ௲ػǵޗᔈǾ֡ёၸႝတ ᆛၡᕇளӭ௲Ꮲޑનᆶ௲ᏢౣǶ่ӝႝတᆛ ၡၗྍޑ௲ᏢςࢂҞޑ௲Ꮲཥᖿ༈Ǵႝတᆛၡࣽ מၮҔܭਸ௲ػஒҗޑરբǴᅌԛගϲ ډႝတᆛၡӭ൞ᡏޑᐕำǴӕਔа௲ᏢғࣁЬޑ ᆛၡᏢಞᕉნϷᆛၡӭ൞ᡏၗྍ௲ᏢޑཥжᏢ ಞౣǴ೭ஒࢂࡐεޑँઇ(ЦᔌǴ҇ 93)Ƕ Ҟ୯ϣѦа၂ᚒϸᔈፕӧਸ௲ػᔈҔ ࣴز٠όӭـǴҁЎ၂ஒ၂ᚒϸᔈፕϷႝတϯ ܄ෳᡍຑໆচᔈҔܭਸ௲ػሦୱǴԶаڀഢ ਸ௲ػȨঁձϯȩǵȨ܄ϯȩᆒઓϐႝတෳᡍБ ԄǴჹܭᇸࡋඵૈምᛖၸϷલЮเᚒऐЈޑ܄ (ԙܴǴ҇ 86)Ǵ෧Ͽࡼෳᚒኧ܈ਔ໔ૈԖਏ բเǴගଯຑໆޑਏࡋǴ௦ኧᏢૈΚ᠘ۓႝတϯ ܄ෳᡍϐࣴزǴှ،Ԗਏ᠘ۓඵૈምᛖᏢғჴሞଆ ᗺՉࣁϷૈΚޑ֚ᜤǶ2.
Ў
2.1 ၂ᚒϸᔈፕ жෳᡍፕа၂ᚒϸᔈፕ (Item Response TheoryǴᙁᆀ IRT)ࣁځύЈࢎᄬǴIRT ൩ࢂаኧᏢ Ԅ߄Ңڙ၂ޣૈΚᆶ၂ᚒᜤܰࡋǵ᠘ձࡋϷෳࡋ ୖኧ໔ޑᜢ߯ǴԶ೭ঁኧᏢᜢ߯ջࢂᐒǴаڙ ၂ޣޑเჹᐒ߄ҢᕵືǴڙ၂ޣޑ߄ᆶ೭ ಔወӧૈΚ፦໔ޑᜢ߯Ǵёၸచೱុ܄ሀቚ ޑڄኧٰуа၍ញǴ೭ঁڄኧߡћբ၂ᚒቻԔጕ Ȑitem characteristic curveǴᙁቪࣁ ICCȑж߄ IRT ύޑதҔޑ၂ᚒϸᔈኳԄёϩࣁൂୖ ኧჹኧኳԄǵᚈୖኧჹኧኳԄکΟୖኧჹኧኳԄ ǴѬॺࡪྣᜤܰࡋǵ᠘ձࡋǵෳࡋ၂ᚒୖኧ ޑӭჲ఼ကϩձж߄Ǻࢌ၂ᚒޑ҅ዴϸᔈᐒ ନΑڙԵғ܈ڙ၂ޣޑૈΚॶ،ۓѦǴ٠Ъϩձڙ ঁୖኧȐջᜤࡋȑǵΒঁୖኧ(ջᜤࡋک᠘ձࡋ)ǵ ܈ΟঁୖኧȐջᜤࡋǵ᠘ձࡋǵکෳࡋȑޑ၂ᚒ ୖኧ܌،ۓǴځ҅ዴϸᔈᐒॶҭϟܭ 0 ᆶ 1 ϐ໔Ƕ IRTୖኧኳԄࡌҥӧΠӈ୷ҁଷϐ (Hambleton,1985;Swaminathan,1983; ReckaseǴ1979; է҇ჱ,҇86ȑǴх֖1. ෳᡍ፦܈ૈΚൂӛ܄Ƕ2. ၂ᚒ໔ֽᐱҥ܄Ƕ3.ޕၰ--҅ዴϸࢀբเଷǶ4. ߚೲࡋ܄բเǶ5. ኳԄ಄ӝ܄ᔠۓǶ 2.2 ၂ᚒϸᔈፕᓬᗺ IRTԖձܭђڂෳᡍፕǴ߯ࡌҥӧኧ ी୷ᘵǴځҥፕᆶଷᝄᙣǴӢԜڀԖΠӈ൳ᓬ ᗺǺ 1.၂ᚒୖኧ(item parameters)ȐӵǺᜤࡋǵ᠘ձ ࡋ ǵ ෳ ࡋ ȑǴ ࢂ ᅿ ό ڙ ኬ ҁ ቹ ៜ (sample-free)ޑࡰǶ 2.ගٮঁձৡ౦ޑෳໆᇤৡࡰǴӢԜૈᆒ ዴڙ၂ޣޑૈΚीॶǶ 3.ගра၂ᚒૻ৲ໆ(item information)Ϸෳᡍ ૻ৲ໆ(test information)ޑཷۺǶ 4.ӕਔԵቾڙ၂ޣޑϸᔈಔࠠᆶ၂ᚒୖኧ ܄ǴӢԜӧीঁΓૈΚਔǴନΑૈගٮ ঁၨᆒዴޑीॶѦǴჹܭচۈளϩ࣬ӕ ޑڙ၂ޣǴΨ۳۳๏ϒόӕޑૈΚीॶǶ 5.௦ҔޑኳԄӝࡋԵᡍॶǴёаගٮԵᡍኳ Ԅᆶၗ໔ϐӝࡋǵڙ၂ޣޑϸᔈǶ 3/3/2 ၂ᚒૻ৲ڄኧ! ! ! ၂ᚒૻ৲ڄኧ(item information function,IIF)ࣁඔॊ၂ᚒ܈ෳᡍǵࡷᒧෳᡍ၂ᚒǵа ϷКၨෳᡍޑ࣬ჹਏૈǴբࣁࡌҥǵϩǵᆶບᘐ ෳᡍޑЬाୖԵ٩ᏵǶڄኧޑۓကӵϦԄ(2.1)Ǻ ' 2 [ ( )] ( ) ( ) ( ) i i i P I P Q θ θ θ θ = i=1, 2,...,n (2.1) ځύIi( )θ ж߄၂ᚒ
i
ӧૈΚࣁθ ܌ගٮޑૻ৲ ( ) i P θ ࣁૈΚθ ӧ၂ᚒi
ޑ၂ᚒϸᔈڄኧ ( ) 1 ( ) i i Q θ = −P θ ; ' ( ) i P θ ࣁӧθ ᗺޑPi( )θ ॶ ޑᏤኧǶ ၂ᚒૻ৲ڄኧёаᔈҔډय़܌ፋډޑൂ ୖǵᚈୖǵᆶΟୖኧჹኧ၂ᚒϸᔈኳԄǴ೭٤ኳԄ ӝҔܭΒϩݤीϩ(dichotomously scored)ޑෳ ᡍၗǶBirnbaum(1968)ࡰрǴࢌঁ၂ᚒ܌ගٮޑ നεૻ৲ໆǴখӳрӧૈΚीୖኧθ
നёૈр ޑᗺǶ 3/3/3!ෳᡍૻ৲ڄኧ! ! ! ਥᏵ Birnbaum(1968)ޑᏤǴҽෳᡍޑ ૻ৲ڄኧI( )θ ࢂࡰѬӧࢌঁθ ॶ܌ගٮӚ၂ ᚒૻ৲ڄኧϐᕴکǴӵϦԄ(2.2)Ǻ 1 ( ) ( ) n i i I θ I θ = =∑
(2.2) ෳᡍૻ৲ڄኧനεޑ܄ࢂёу܄Ǵᒿ၂ᚒ ኧຫӭǴૻ৲ໆΨᒿϐቚεǴԶ၂ᚒૻ৲ໆϐ໔߾ คᜢǴ۶ԜࣁᐱҥǶԶӧθ ॶޑෳᡍૻ৲ໆᆶ၀ ૈΚޑीྗᇤԋѳБਥϸКǴځӵΠϦԄ(2.3) ߄ҢǺ 1 ( ) ( ) SE I θ θ ∧ = (2.3) ! ! ځύSE( )θ∧ Ǵᆀբीྗᇤ(standard error of estimation)ǶI( )θ ॶၲډനεਔǴSE( )θ∧ ॶ ߡၲډനλǴΨ൩ࢂᇥ၀θ ॶޑനε߈՟ीॶޑ ीᇤৡၲډനλǴҭջԜਔޑθ ޑനε߈՟ी ॶനᆒዴǶ 2.3 ႝတ܄ෳᡍ ႝတϯ܄ෳᡍ߯ႝတෳᡍ่ӝ၂ᚒϸᔈ ፕϷ܄ෳᡍϐᓬᗺวޑෳᡍǴෳᡍسё٩ڙ ၂ޣૈΚНྗޑीॶԾᒧ಄ӝڙ၂ޣૈΚ ϐ၂ᚒуаࡼෳǴ٠٩Ᏽڙ၂ޣӧཥևޑᚒҞเ ᚒޑჹᆶᒱǴख़ཥीᆉڙ၂ޣޑૈΚीॶǴ ٠ᏵаᒧڗΠᚒҞǴޔډڙ၂ޣૈΚॶϐीς ࣬ӦᆒዴࣁЗǶ೭ᅿෳᡍБԄǴՏڙ၂ޣࡼ ෳϐᚒҞόӕǴࡼෳਔ໔ϷᚒኧΨёаόӕǶёа ӧၨϿޑᚒኧၲډ٣ӃۓޑࢌᆒዴНྗǴᆒዴ Ӧᆉрڙ၂ޣޑૈΚǶ ஒ CAT ჴࡼᜢᗖמೌϷำׇϩଆۈᚒ ҞǵᒧᚒౣᆶಖЗచҹբᙁϟᆶǺ )2*/ଆۈᚒҞۓ! ႝတ܄ෳᡍӧෳᡍϐۈǴڙ၂ޣϐૈΚ ଯե҂ૈளޕǴՠѸᒧෳᡍଆۈᚒҞගٮ ࡼෳբเǴᙖаԏىղᘐڙ၂ޣૈΚޑเ ᚒಔձၗǶதҔܭଆۈᚒޑ،ۓБԄǴԖа Π൳ᅿ)Цᝊ❲-҇ 95ǹഋӵ-҇ 98<ഋߪֻ-҇ :4ȑǺ2/ύᜤࡋᚒҞǶ3/җڙ၂ޣԖϐ ܄ၗ܈ځдୖԵෳᡍ่݀،ۓǶ4/Ծҗᒧ ᚒǶ5/ᒿᐒᒧᚒǶ! )3*/ᒧᚒౣ! ᒧᚒౣΏႝတ܄ෳᡍύख़ाޑਡЈ ाનϐǴਥᏵόӕޑᒧᚒౣᏤठόӕޑ ෳᡍਏǴதҔޑᒧᚒБݤӵΠǺ2/നௗ߈ᜤ ࡋݤ))Sfdlbtf-!2:84<!Vssz-!2:81<!Xfjtt-!2:85*Ƕ3/നௗ߈ୃ౽ᜤࡋݤ)Cjsocbvn-! 2:79*Ƕ4/നεૻ৲ᒧᚒݤ)Mpse-!2:91*Ƕ! )4*/ಖЗచҹ! ႝတϯ܄ෳᡍࡼෳᚒҞᆶᚒኧޑी Ӣڙ၂ҞޑϷჹຝ֡όӕǴԶჴ୍ෳᡍಖЗ ёၮҔΠӈБԄ)ഋӵ-!҇ 98ǹഋཥᙦ-!҇ 99ȑǺ2/ۓനεࡼෳᚒኧǶ3/ڙ၂ޣޑૈ ΚीྗৡեܭႣྗਔǴෳᡍջಖЗǶ 4/ૈΚޑीςᛙۓǴӆᚒҞςؒԖᔅշ ਔǴջಖЗෳᡍǶ! 3/5 ਸ௲ػႝတϯሡ! ך୯ 97 ԃཥঅुਸ௲ػݤஒঁձϯ௲ػी ฝ)joejwjevbmj{fe!fevdbujpo!qsphsbn-JFQ*યΕ ݤచǴೕۓ JFQ ᔈຑໆᏢғΠӈૈΚǴхࡴᇡޕૈ Κǵྎ೯ૈΚǵՉૈΚǵᆣǵΓሞᜢ߯ǵག۔ фૈǵ଼நރݩǵғࢲԾૈΚǵ୯ЎǵኧᏢᏢ ૈΚϐݩǶ೭٤ૈΚޑຑёаၸғᔠ ǵྗϯෳᡍ܈ߚྗϯෳᡍБԄֹԋ)݅ᝊ Ǵ҇ 9:*Ƕோჹ JFQ ޑᔕۓၸำᕷᅥǴ߈ԃٰ୯ ϣΨԖаΠׯޑཀـǺǵวᙁϯ JFQ ߄Ȑ ᆧ࣓-!҇ 99ȑǵΒǵࡌ JFQ ႝတϯϐᏢಞҞၗ ሡ)Ц؊Ǵ҇ :2ǹԙܴǴ҇ 97*Ǵа෧ Ͽ௲ৣॄᏼǶ! ว JFQ ႝတϯ่݀ޑዴёа࣪Դৣॺኗቪ ᏢಞҞޑਔ໔ǴዴΨᏤठᏢಞҞȨጄҁȩၸࡋ ੌᔲ٬ҔǴ۹ౣΑ௲܌மፓޑȨঁձϯȩǶଓਥ زۭǴ௲௲Ꮲޑჴࡼ٠҂ૈਥᏵᏢғჴሞଆᗺՉ ࣁϷૈΚǴځ֚ᜤᗺӧܭ୯ϣّϞҭۘલЮёаග ٮᇶշຑምᛖᏢғወӧૈΚϐࣽᏢπڀǶ! ႝတ܄ෳᡍࢂճҔႝတᆛၡٰჴࡼෳᡍǴೀ ᒧᚒǵीϩǵૈΚीୢᚒޑᅿෳᡍБԄǴ ႝတ܄ෳᡍКෳᡍሡाࡼෳၨϿޑᚒҞǴ൩ ૈԖਏीૈΚॶǶӢԜǴჹܭᇸࡋඵૈምᛖၸ ϷલЮเᚒऐЈޑ܄)ԙܴǴ҇ 97*Ǵ෧Ͽࡼෳ ᚒኧ܈ਔ໔ϸԶ׳ૈԖਏբเǴᆒྗගଯຑໆޑਏ ࡋǴኧᏢૈΚ᠘ۓႝတϯ܄ෳᡍϐࣴزǴ࡞ૈှ ،Ԗਏ᠘ۓඵૈምᛖᏢғჴሞଆᗺՉࣁϷૈΚޑ ֚ᜤǶӢԜǴ໒ว᠘ۓႝတϯ܄ෳᡍೀᒧᚒኳ ԄǴၮҔᚒҞૻ৲ໆᒧᚒᐒڋǴ෧ϿࡼෳᚒҞ٠ૈ ԖਏᆉᏢғᏢಞૈΚǴၮҔܭਸ௲ػሦୱϐ௲ ᏢຑໆԖځѸा܄Ƕ! !
3.
ࣴزБݤ
4/2 ࣴزБݤᆶᡯ! ҁࣴز߯٩Ᏽว၂ᚒϷڮᚒࢬำǴጓᇙ಄ӝ ၂ᚒϸᔈፕ(IRT)ኳԄϐ၂ڔǴ٠ளډҞୖኧ ीॶϷ၂ᚒૻ৲ڄኧǴࡌҽܭᆛሞᆛၡ٬Ҕϐ ႝတϯ܄ෳᡍǴճҔႝတமεၮᆉфૈǴਥᏵጕ ڙ၂ޣเᚒಔࠠǴ٠ܴၮҔᒧᚒᐒڋዴૈӧڰ ۓเᚒ܈෧ϿࡼෳᚒኧΠǴၲډႣෳڙ၂ޣૈΚ ፦ϐਏ݀Ƕځࣴزࢎᄬӵკ 3.1.1Ǻ კ!4/2/2!ᆛၡ܄ෳᡍࣴزϩࢬำკ! 4/3 ࣴزჹຝ! ਥᏵ܌ॊޑࣴزБݤୢᚒǴҁࣴزᔕ௦Ҕ ޑࣴزჹຝ߯ࣁѠӦଯᙍ௲ǵΒԃભᏢ ғϐჴҔኧᏢૈΚࣁࣴزჹຝǶ٠аΠӈБԄ ՉǺ 4/3/2 Ⴃ၂! ҁࣴزޑႣ၂ኬҁǴаᒿᐒᒧڗଯύᙍ௲ ǵΒԃભ௲ᏢғࣁኬҁǴӅीܜڗ 6 58 ӜᏢғࣁҁࣴزޑԖਏኬҁǶҁႣ၂πբǴ߯ӧ҇ ୯ 94 ԃ 1 ДۭϐǴֹԋ܌Ԗޑਜय़ࡼෳǴ٠ਥ Ᏽࡼෳ่݀җၗు௲௲ৣϷ୯ҥѠύৣଣ௲ Ӆ 5 ΓՉ၂ᚒቩਡǵڮᚒϣǵЎѡᜏǵጓ௨ БԄගٮཀـǴҗࣴزޣӆуаঅׯǶ 4/3/3 ҅Ԅࡼෳ! ҁࣴزޑ҅ԄኬҁǴ߯аႣ၂ᑔᒧ၂ᚒࡕϐ҅ Ԅ၂ڔǴܭ҇୯ 94 ԃ 2 Д 15 ВԿ 94 ԃ 3 Д 5 В ϐ໔ǴаਠࣁൂՏᒿᐒဂᡏܜኬࡕӄБԄӛѠ Ӧ 23 ঁᑜѱߕଯᙍ௲ϐ୯دҥଯύᙍӅ 37܌ᏢਠӅी 100 วр 1277 ҽ၂ڔǴӣԏԖਏ ၂ڔኬҁኧ 1108 ҽǴӣԏ 86.77ʘǶࡕុޑၗ ϩπբǴ߯а၀Ԗਏኬҁኧբࣁϩޑ٩ᏵǶ 4/4 ࣴزπڀ! ҁࣴز٬ҔϐࣴزπڀԖǺෳᡍ၂ڔǵฯᡏ ഢǵس໒ว೬ᡏπڀǴஒӚᅿπڀ௶ॊӵΠǺ 4/4/2 ෳᡍ၂ڔ! ҁࣴز٬ҔჴҔኧᏢࣽෳᡍ၂ڔǴځЬाҞޑ ӧܭճҔෳᡍࡼෳ่݀ǴᇆӚ၂ᚒୖኧǴࡌҥ ICC ኧՏத ኳᚒ! ࡌႝတ܄ ෳᡍس! ௲Ꮲғኧ Ꮲ၂ᚒጓᇙ! ၗϩ! ࣴز໒ۈ! ၂ᚒᔠਡǵႣ ၂ǵ҅Ԅࡼෳ! ጕૈΚຑ! ԋਏᡍ! ࣴز่״!ԔጕϷૻ৲ڄኧǴаനεૻ৲ໆБݤࣁᒧᚒਡЈᐒ ڋǴගٮࡌȨጕᚒسȩǶ
4/4/3!ฯᡏ೬ᡏഢ!
(1).ฯᡏഢǺPentium4Ǵ2.4GHzǴ1GB RAMǴ
Ultra320 SCSI HD 80GBǴIntel Pro/100 ᆛ
ၡьǴᒡਏ 100MbpsǶ
(2).բسǺMicrosoft Windows Server 2000Ƕ
Microsoft Windows Server 2000 ࢂ༾೬ၨᛙ
ۓޑ՛ܺᏔբسǴόፕࢂፓଛǵᆅک ٬ҔǴ׳ࣁܰǴЪගٮӭख़ाޑཥӼ ӄ܄фૈکׯ๓Ƕ
(3).ၗǺMicrosoft SQL Server 2000ǶAccess
2000 ࢂ༾೬ Office سӈ೬ᡏύޑǴࢂ
ᅿᆅߚதᝄஏޑၗسǴӝܭҺ ՖाޑၗǶ
(4).Web ServerǺ Microsoft Internet Information Services 6 ǶࣁΑቚуᆛ।՛ܺᏔޑӼӄ܄Ǵ IIS 6.0 ܌ගٮޑᆛ।՛ܺᏔӧё ܄ǵౢ
ૈǵೱௗ܄کӝ܄Бय़ࢂ२ۙࡰޑǴ ځύхࡴᒱǵाՑӈǵᔈҔำԄރ쒸 ຎǵԾᔈҔำԄӣԏǵזڗфૈǶ
(5).ᆛ।ำԄᇟقǺMicrosoft ASP.NETǶ ASP.NET
ࢂᅿа Common Language Runtime ࣁ୷ ᘵԶࡌԋޑ ำԄीࢎᄬǴёҔӧ՛ܺᏔ ࡌமεޑ Web ᔈҔำԄǶASP.NET ග ٮ൳Кၸѐ Web ໒วኳࠠᗋख़ाޑᓬ༈ - Ѭёᡣா׳ᇸӦኗ ቪำԄዸǴ٠ගٮቚ மޑਏૈǵӼӄ܄ǵமεфૈکቸ܄Ƕ 4/4/4!ෳᡍسࢎᄬ! ҁෳᡍسޑࢎᄬǴхࡴϤঁኳಔǺ (1).ᆅޣኳಔǺᆅঁسޑ௲ৣ٬ҔǶ (2).ৎ௲ৣኳಔǺՉ၂ᚒޑᒧڗᆶಔԋ၂ڔ ᔞǶᚒՉཥቚǵմନǵঅׯǵ၌Ϸᖐ ՉࡼෳπբǶ (3).ቩᚒ௲ৣኳಔǽёаቩ܌рᚒҞǶ (4).ڮᚒ௲ৣኳಔǽёарᚒǶ (5).Һፐ௲ৣኳಔǽҗسᆅޣࡰࢴҺፐ௲ৣǶ (6).ᏢғኳಔǺୖᆶጕෳᡍຑໆکԋᕮ၌Ƕ 4/5 ჴᡍी! ! ҁޑҞޑǴԑӧ௶ॊஒॊวޑ᠘ۓኳԄ ܭᆛሞᆛၡǴٮჹঁձڙ၂Ꮲғޑࡼෳບᘐϐ ҔǴԶᔅշ௲ৣ܈ᏢғҁيՉૈΚ᠘ۓϐϩ Ƕ! 4/5/2 ᆛઠࢎ! ! २ӃǴӃՉࢎᆛ।ϷᆛઠǴᆛ֟ࣁǺ iuuq;00274/28/45/280jsu!! 4/5/3 ᆛೱ่! ௗǴஒॊวޑჴҔኧᏢෳᡍޑ၂ᚒǴฦ ᒵᆛ।ᚒǴ٬ځૈӧᆛၡၮᆉǴ൳ෳ၂ ࡕǴωۓዺֹԋࡌπբǶ! 4/5/4 ጕෳ၂! а 7191 Ӝଯᙍ௲Ꮲғڙ၂ޣጕௗڙෳ ᡍǴԏځเᚒᐕำౢғϐเᚒಔᄊϷૈΚॶी ၗǶ! 4/5/5!Кၨࢂցफ़եเᚒኧ! ᔠᡍࢂցૈ෧ϿเᚒኧǴӧۓޑૈΚीᇤ ৡॶΠǴϝૈᆉрڙ၂ᏢғૈΚ܈Ⴃෳ܈ှញ၂ ᚒޑ߄Ƕ! ҁࣴزෳᡍޑύЗޑᚒኧࢂҗႣۓޑࡕෳ ໆྗᇤৡຯ)tuboebse!fssps!ejggfsfodf!pg! ftujnbujpo*ٰ،ۓǶ!ځीᆉБݤёаϦԄ)4/2*! ߄ҢǺ!! TFE)θi1 ∧ + *>TF)θi ∧ *.TF)θi1 ∧ +*!!!!!)4/2*! 1, 2,..., 1 i= n− !!!!!!!!!!!!!!!!!!!! i θ∧ -θi1 ∧ +;ϩձࡰࡕเᚒ܌ෳளޑीૈ Κॶ!
n
;ࡰനεࡼෳ၂ᚒኧ! ҁࣴز٩ჴሞᚒၗٰ،ۓीྗᇤৡ ຯٰۓᚒኧύЗྗǴ٠аȨᒧᚒࡼෳၸำςเ ᚒ 21 ᚒаȩǴЪ܌ளڙ၂ޣޑࡕᚒૈΚी ྗᇤϐৡຯၲۓȨ⸣ॶ≤
1/113ȩ܌բเޑᚒኧ ૈΚǴٰीᡍǶۓሡเᚒ 21 ᚒа߯ࣁ ࣁԵໆ၂ᚒڬۯ܄ϷϣਏࡋǴЪᗉխीૈΚॶ ᡂӧ҂ԏᔙǴ࡞ѯပӧ⸣ॶϣౢғᇤղǶ!4.
่݀ᆶፕ
аΠஒ൩ҁࣴزጕෳᡍǴϩǵෳᡍس ᏹբᇥܴϷΒǵ܄ෳᡍࡕෳ่݀ٿҽᇥ่ܴ ݀Ƕ! 5/3/2!ෳᡍس! ҁࣴزճҔ܌໒วޑȨጕᚒسȩǴҗܭ ่ӝΑᆛሞᆛၡǴࡌӧӄౚၗૻᆛޑѳѠǴё ගٮόӕᆅज़ޣǴቩᚒǵڮᚒǵঅׯ၂ᚒǴ٠ Չ၂ᚒᆅǴၲډಔڔޑфૈǶ! ڙ၂ޣᒿਔጕբเǴόڙਔޜޑज़ڋǴၸ ᆛሞᆛၡޑೱ่ǴԿϿёаᡣόӕӦӭՏเᚒޣ ӕਔጕբเǴନ߃ۈᚒҞ௦ᒿᐒᒧᚒѦǴ௦Ҕ ीૈΚॶനεૻ৲ᒧᚒݤբࣁਡЈᒧᚒБԄǴӢԜ Տڙ၂ᏢғځเᚒಔձϷׇόӕǴֹӄ٩Ᏽ ᏢғᚒเֹࡕीᆉϐૈΚǴᒧ܄ᚒҞǴբเ ֹԋࡕǴႝတౢғᐕำइᒵගٮ๏ڙ၂ޣǶ! ӧᏢғෳᡍ่݀ǴךॺᒵᏢғเᚒᐕำǴх ࡴเᚒԛׇǵเჹϷ׳ख़ाޑࢂஒճҔႝတமε ၮᆉфૈǴջਔਥᏵጕڙ၂ޣਔՉϐเᚒಔ ࠠǴ܌ౢғीૈΚॶǴ٠ਥᏵ၂ᚒୖኧǴᒧΠ ঁૻ৲ໆനεᚒҞǴځᆶᚒεໆࡌҥ၂ᚒ ᒿᐒᒧᚒБԄόӕǴ߯ࣁඵችࠠᒧᚒǴࡺᆀࣁ܄ ෳᡍǶ! 5/3/3!ෳᡍϩ! നࡕ܄ෳᡍќख़ाфૈǴջၮҔᒧᚒ ᐒڋዴૈӧڰۓเᚒ܈෧ϿࡼෳᚒኧΠǴၲډႣෳڙ၂ޣૈΚ፦ϐਏ݀Ǵ٠ૈ࣪ࡼෳਔ໔Ƕ! ࣁܴҁ܄ෳᡍسࡌԋਏǴܭ :5 ԃ 7 Д 31ǵ32 ВٿϺа୯ҥᜦঢ়ၭπǵѠύଯၭǵཥ Ԯଯπ 4 ਠӅ 7 ଯᙍ௲ᏢғՉᇻຯጕ ܄ෳᡍǴځύ 79 ՏԖਏڙ၂ޣϐเᚒϷᐕำǴ سջਔளډ่݀ϩǴаΠஒ൩жဦ q31 ϐڙ ၂ӕᏢᒧᚒϷૈΚॶीᐕำᇥܴǶ! җΠ߄ 5/3/2 ёޕǴq31 ӕᏢเֹӄ 37 ၂ᚒ܌ள ډϐૈΚॶ (26) 26 θ∧ ࣁ 1/55Ǵҗ߄ϣၗёޕเᚒ ׇ 34 ځीྗᇤϐৡࣁ 1/1129 ಄ӝၲډȨ⸣ ॶ
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1/113ȩଶЗࡼෳచҹǴ܌ளϐբเׇಃ 34 ᚒीૈΚॶ ( 23) 26 θ∧ >1/59Ǵเᚒׇ 35ǵ36ǵ 37 ߾ᛙۓ֡ࣁ 1/55Ƕ! ߄!5/3/2!ႝတ܄ෳᡍเᚒૈΚᆉᐕำ߄! ᠲ ႉݧ ᠲᠲᇆ ᠲ࣠ ౨ԺଖӰ ˹ʻӰʼ ᎄʳ۷ૠᑑᄷʳᑑᄷᎄছ৵ ʳಛஒࠤᑇ إᒔூ ᖂسூ ˄ ˊ إᒔ ˆ ˃ˁˌˋ ʳʳʳʳˉ˅ˁ˃ˇ˄˃ ʳˀ ʳʳʳʳ˃ˁ˃˃˃ˆ ˆ ˆ ˅ ˅ ᙑᎄ ˀ˃ˁ˅ˇ ˃ˁˆˋ ʳʳʳʳʳʳˆˁˈ˄ˌˊ ʳʳʳʳʳʳˈˋˁˈ˅˄ˆ ʳʳʳʳ˃ˁ˃ˋ˃ˊ ˆ ˄ ˆ ˅˃ إᒔ ˃ˁˆˉ ˃ˁˋˉ ʳʳʳʳʳʳ˃ˁˋˈ˃ˌ ʳʳʳʳʳʳʳ˅ˁˉˉˋˋ ʳʳʳʳ˄ˁˆˋ˄˃ ˅ ˅ ˇ ˆ إᒔ ˃ˁˉ ˃ˁˊˌ ʳʳʳʳʳʳ˃ˁˈ˅ˋˋ ʳʳʳʳʳʳʳ˃ˁˆ˅˅˄ ʳʳʳʳˆˁˈˊˈˉ ˄ ˄ ˈ ˄ˉ إᒔ ˃ˁˊˉ ˃ˁˈˇ ʳʳʳʳʳʳ˃ˁˇˆ˃ˊ ʳʳʳʳʳʳʳ˃ˁ˃ˌˋ˄ ʳʳʳʳˈˁˆˌ˃ˆ ˆ ˆ ˉ ˄ˊ ᙑᎄ ˃ˁˈˉ ˃ˁˈ˄ ʳʳʳʳʳʳ˃ˁˆˌˉ˃ ʳʳʳʳʳʳʳ˃ˁ˃ˆˇˊ ʳʳʳʳˉˁˆˊˈˈ ˅ ˆ ˊ ˅ˋ إᒔ ˃ˁˉ ˃ˁ˅ˆ ʳʳʳʳʳʳ˃ˁˆˌˈˆ ʳʳʳʳʳʳʳ˃ˁ˃˃˃ˊ ʳʳʳʳˉˁˆˌˋ˅ ˄ ˄ ˋ ˅ˇ إᒔ ˃ˁˉˋ ˃ˁˉˌ ʳʳʳʳʳʳ˃ˁˆˊ˄ˆ ʳʳʳʳʳʳʳ˃ˁ˃˅ˇ˄ ʳʳʳʳˊˁ˅ˈˈ˅ ˅ ˅ ˌ ˄ˆ ᙑᎄ ˃ˁˈˉ ˃ˁˈ ʳʳʳʳʳʳ˃ˁˆˈ˅˃ ʳʳʳʳʳʳʳ˃ˁ˃˄ˌˆ ʳʳʳʳˋˁ˃ˊ˃ˈ ˆ ˅ ˄˃ ˄ˈ إᒔ ˃ˁˉ ˃ˁˋ˅ ʳʳʳʳʳʳ˃ˁˆˆˈ˄ ʳʳʳʳʳʳʳ˃ˁ˃˄ˉˌ ʳʳʳʳˋˁˌ˃ˇˉ ˆ ˆ ˄˄ ˅ˉ ᙑᎄ ˃ˁˇˋ ˃ˁˈˊ ʳʳʳʳʳʳ˃ˁˆ˅ˆˇ ʳʳʳʳʳʳʳ˃ˁ˃˄˄ˊ ʳʳʳʳˌˁˈˈˌˈ ˄ ˅ ˄˅ ˇ إᒔ ˃ˁˈ˅ ˃ˁˌ˄ ʳʳʳʳʳʳ˃ˁˆ˄˅ˌ ʳʳʳʳʳʳʳ˃ˁ˃˄˃ˈ ʳʳ˄˃ˁ˅˄ˆˆ ˇ ˇ ˄ˆ ˄ˌ إᒔ ˃ˁˈ˅ ˃ˁˋ˅ ʳʳʳʳʳʳ˃ˁˆ˃ˈ˅ ʳʳʳʳʳʳʳ˃ˁ˃˃ˊˊ ʳʳ˄˃ˁˊˆˊ˅ ˅ ˅ ˄ˇ ˋ ᙑᎄ ˃ˁˆˉ ˃ˁˌ˄ ʳʳʳʳʳʳ˃ˁ˅ˌˉˇ ʳʳʳʳʳʳʳ˃ˁ˃˃ˋˊ ʳʳ˄˄ˁˆˊˌˇ ˆ ˅ ˄ˈ ˄˄ إᒔ ˃ˁˆˉ ˃ˁˌ ʳʳʳʳʳʳ˃ˁ˅ˋˌ˄ ʳʳʳʳʳʳʳ˃ˁ˃˃ˊˆ ʳʳ˄˄ˁˌˉˇˇ ˄ ˄ ˄ˉ ˅˅ إᒔ ˃ˁˇ ˃ˁˌ ʳʳʳʳʳʳ˃ˁ˅ˋˆˉ ʳʳʳʳʳʳʳ˃ˁ˃˃ˈˈ ʳʳ˄˅ˁˇ˅ˌˈ ˄ ˄ ˄ˊ ˌ إᒔ ˃ˁˇˇ ˃ˁˈˆ ʳʳʳʳʳʳ˃ˁ˅ˊˋˌ ʳʳʳʳʳʳʳ˃ˁ˃˃ˇˊ ʳʳ˄˅ˁˋˈˈˊ ˇ ˇ ˄ˋ ˈ ᙑᎄ ˃ˁˇ ˃ˁˈˉ ʳʳʳʳʳʳ˃ˁ˅ˊˇˌ ʳʳʳʳʳʳʳ˃ˁ˃˃ˇ˃ ʳʳ˄ˆˁ˅ˆ˄˄ ˅ ˇ ˄ˌ ˄ˇ إᒔ ˃ˁˇ ˃ˁˌˊ ʳʳʳʳʳʳ˃ˁ˅ˊ˃ˊ ʳʳʳʳʳʳʳ˃ˁ˃˃ˇ˅ ʳʳ˄ˆˁˉˇ˅ˉ ˅ ˅ ˅˃ ˅ˈ إᒔ ˃ˁˇ ˃ˁˌˇ ʳʳʳʳʳʳ˃ˁ˅ˉˊ˃ ʳʳʳʳʳʳʳ˃ˁ˃˃ˆˊ ʳʳ˄ˇˁ˃˅ˇˈ ˇ ˇ ˅˄ ˅˄ إᒔ ˃ˁˇˇ ˃ˁˋˉ ʳʳʳʳʳʳ˃ˁ˅ˉˇ˄ ʳʳʳʳʳʳʳ˃ˁ˃˃˅ˌ ʳʳ˄ˇˁˆˆ˅ˋ ˇ ˇ ˅˅ ˉ إᒔ ˃ˁˇˇ ˃ˁˇˊ ʳʳʳʳʳʳ˃ˁ˅ˉ˄˅ ʳʳʳʳʳʳʳ˃ˁ˃˃˅ˌ ʳʳ˄ˇˁˉˈˉ˄ ˄ ˄ ˅ˆ ˅ˆ إᒔ ˃ˁˇˋ ˃ˁˌˊ ʳʳʳʳʳʳ˃ˁ˅ˈˌˈ ʳʳʳʳʳʳʳ˃ˁ˃˃˄ˋ ʳʳ˄ˇˁˋˈˈ˅ ˇ ˇ ˅ˇ ˄˃ ᙑᎄ ˃ˁˇˇ ˃ˁ˅ˈ ʳʳʳʳʳʳ˃ˁ˅ˈˋˈ ʳʳʳʳʳʳʳ˃ˁ˃˃˃ˌ ʳʳ˄ˇˁˌˉˆˇ ˆ ˅ ˅ˈ ˄ إᒔ ˃ˁˇˇ ˃ˁˋˌ ʳʳʳʳʳʳ˃ˁ˅ˈˊˉ ʳʳʳʳʳʳʳ˃ˁ˃˃˃ˌ ʳʳ˄ˈˁ˃ˊˆˇ ˆ ˆ ˅ˉ ˄˅ ᙑᎄ ˃ˁˇˇ ˃ˁˆˋ ʳʳʳʳʳʳ˃ˁ˅ˈˉˋ ʳʳʳʳʳʳʳ˃ˁ˃˃˃ˊ ʳʳ˄ˈˁ˄ˈˋˇ ˅ ˄ җᡏ 79 Ӝଯᙍ௲Ꮲғीၗٰϩ Ǵӧѳ֡բเϩǴᕴᚒኧ 37 ᚒǴ܄ෳᡍ಄ ӝ⸣ॶಖЗࡼෳᚒኧϐѳ֡բเᚒኧࣁ 2:/96Ǵҭ ջѳ֡࣪ࡼෳᚒҞ 7/26 ᚒǶीૈΚॶҽǴ 79 Ӝڙ၂ޣ 37 ᚒӄเᆉϐѳ֡ૈΚॶࣁ.1/48Ǵ ܄ၲಖЗచҹϐѳ֡ૈΚॶࣁ.1/46Ǵीᆉٿޣ ࣬ᜢ߯ኧၲ 1/:724 மǶෳᡍಖЗޑૈΚी֡Б ਥৡ SNTE)͐*)sppu!nfbtvsfnfou!pg!trvbsf! ejggfsfodf*ǴаϦԄ)5/2*߄ҢӵΠ;! SNTE)͐*!>>! 2 1 ( ) n ks kn k n θ∧ θ∧ = −∑
!!!!!!!!!)5/2*! ځύθks ∧ ;ࡰ٩Ᏽಃ l Տڙ၂ޣ܄ಖЗ ࡼෳᚒኧ܌ளीૈΚॶ! !!!!θkn ∧ ;ࡰಃ l Տڙ၂ޣเֹӄෳᡍ ᚒҞ܌ளډϐૈΚॶ! !!!!!o;ࡰڙ၂ᕴΓኧ! ! ҁࣴز٩ჴሞᚒၗٰ،ۓीྗᇤৡ ຯٰۓᚒኧύЗྗǴ٠аȨᒧᚒࡼෳၸำςเ ᚒ 21 ᚒаȩǴЪ܌ளڙ၂ޣޑࡕᚒૈΚी ྗᇤϐৡຯၲۓȨ⸣ॶ≤
1/113ȩ܌բเޑᚒኧ ૈΚǴٰीᡍǶۓሡเᚒ 21 ᚒа߯ࣁ ࣁԵໆ၂ᚒڬۯ܄ϷϣਏࡋǴЪᗉխीૈΚॶ ᡂӧ҂ԏᔙǴ࡞ѯပӧ⸣ॶϣౢғᇤղǶ! ќҁෳᡍ SNTE)͐*ࣁ 1/325368ǴԜኧᏵКၨ ഋߪֻ)҇ :4*܌ϩளډ SNTE)͐*ऊӧ 1/4 Կ 1/5 ϐ໔Ǵᇤৡ׳λǴҁࣴز಄ӝځ܌ᆀᓬ፦ᚒठ ܄ޑाǶ! ќѦаբเਔ໔ٰ࣮Ǵ37 ᚒӄբเਔ໔ѳ֡ ࣁ 29/99 ϩǴऩѳ֡ё࣪ࡼෳ၂ᚒ 7/26ǴΨёа ඤᆉࣁѳ֡࣪ࡼෳਔ໔ 5/58 ϩដǴҭջ࣪ 34/76ʘޑڙ၂ਔ໔ǴӢԜႝတ܄ෳᡍዴёၲډ ࣪բเਔ໔ҞޑǶ! !5.
่ፕᆶࡌ
6/2 ่ፕ! ҁࣴز DBU سҗჹଯᙍ௲Ꮲғܭᆛሞ ᆛၡጕࡕෳϩ่݀Ǵዴჴૈ٩ᏵঁձᏢғૈΚ όӕǴҗس܄ᒧᚒǴૈѺઇڰۓрᚒׇ٠ ࣪રբเ၂ᚒኧǴၲډ࣪ᚒ၂Ϸڙෳਔ ໔ǴΞૈԖਏᆉрڙ၂ᏢғૈΚ፦Ƕ! ҁᘜયගрҁࣴزޑ่ፕӵΠǺ! )2*/ ႝတϯ܄ෳᡍ಄ӝਸ௲ػȨঁձϯȩᆒ ઓǺҁࣴز܄ෳᡍܴૈլܺҞਸ௲ ػᏢಞҞϼӭคݤӄࡼෳǴԶׯ௦ аਸ௲ػȨঁձϯȩෳᡍБԄǴঁᏢғ ጕࡼෳޑᚒҞׇ֡όӕǴаന಄ӝঁձ ᏢғૈΚीЪૈளډനεૻ৲ໆϐ၂ᚒ ՉຑໆǶ! )3*/ ႝတϯ܄ෳᡍ಄ӝਸ௲ػȨ܄ϯȩᆒ ઓǺҁࣴز܄ෳᡍ่݀Ǵ࣪ࡼෳ၂ᚒϷ բเਔ໔ѳ֡ၲ 34/67ʘǴԖਏڋૈΚी ֡БਥৡǴૈྗዴຑঁձඵૈምᛖᜪᏢғ ኧᏢૈΚǴᐄှᏢғଆᗺૈΚբࣁ௲ᏢୖԵǶ! 6/3 ࡌ! ଞჹҁࣴز่݀ޑࣴวЈளᆶࡕុޑଓᙫ ࣴزǴගраΠࡌǺ! )2*/ҁࣴزሡ٬Ҕႝတᆛෳ၂ǴӢԜҔܭᇸ ࡋඵૈምᛖᏢғǴჹܭՔᒿځдምᛖ܈ӭख़ም ᛖᜪᏢғǴࡼෳ௲ৣᔈຎᔈ၂ሡǴගٮᇶշ ܄୍ܺǴӵ၂ᚒගҢǵൔ᠐ǵڐշᏹբǴց ߾ႝတᏹբӢځфૈલཞምᛖǴԶԋࣁૈΚຑ ޑߐᘖǶ! )3*/Ҟਸ௲ػ܌ᒏ JFQ ࣣமፓᏢಞᇶᏤၗ ၩ܈ᏢಞҞۓǴԶٿޣϐ໔ᜢೱ܄ࠅલ Ю܌ᒏບᘐຑໆᙯඤᐒڋǴၮҔ JSU ܌ᒏޕ่ᄬፕٰϩΠՏཷۺᄬკǴບᘐрჹᏢ ғޑࡘཷۺуаံ௱௲ᏢǴԜҽϝࡑࡕុ Ԗᑫ፪ࣴزޣుΕǶ! !