华杯赛初赛小学模拟(39)答案_WATERMARKED
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Āढᵃᰟā ढᵃᰟā߱ᰟᇣᄺᢳ˄ ߱ᰟᇣᄺᢳ˄39˅খਘḜ
ϔǃọᢽL ǃọ % ᦤ߾˖Ղԡߎɴ ˈकԡߎɴ ˈϾԡߎɴ ˈ݅ ǃọ ' ᦤ߾˖h ʌԡ᭄ᄫሑₓˈϸϾЬ᭄ПᏂሑₓᇣDŽ 3ǃọ C ᦤ߾˖ᇣՈञᕘᰃ
BE
IS AI
B
8ǃᢧ˖ϭ ᦤ߾˖؛᪂϶8⌟⏝᪳ˈὧМϕг8⌟⏝᪳ˈϡ৪ড়Lᛣˈ ؛᪂Э8⌟⏝᪳ˈὧМЭᕫৰϔ᳔ৢˈ߭ϭǃϕϸҎЁᖙ᳝ϔϾ8⌟⏝᪳ˈϡ ৪ড়Lᛣˈ ؛᪂ϕ8⌟⏝᪳ˈЎ݊ҪϝҎ῁8⌟ϡӮᕫ᳔ৢˈгϡ৪ড়Lᛣˈ ℸϭ8⌟⏝᪳DŽ
.C
N
ህৃҹᡒߎ⒵ᱷᓣՈಯԡ᭄ՈؐDŽᡞ ߚᢧᯬ᭄˖ hhh 1 1 1 1 DŽ᳔ඌᕫ hὧМᓣϸṽৠᯊЬҹ ᕫ ˈপߎ Q ᕫ 12 4 3 497 1 1 1 1 1 1 ˈᬙ ࠄ DŽ 12 × 497 4 × 497 3 × 497 5964 1988 1491
IS AI
Байду номын сангаас
=50 ᑇ ᮍ ६ ଷ ˈ Ў
.C
N
9ǃᢧ˖60 ଷ
A
ᦤ߾˖བ˖
C
W W
W
.H
10ǃᢧ˖ ᦤ߾˖ЎЁඃẢ៤ՈಯṽᔶՈ☦ࢳѢ⓸ᕅᑇᜐಯṽᔶՈ☦ࢳϢᅗ਼ೈ Ͼᑇᜐಯṽᔶ☦ࢳᘏՈϔञՈˈ᠔ҹ⓸ᕅᾬߚᑇᜐಯṽᔶ☦ࢳՈ☦ࢳ h DŽ
UA
ᓔྟᯊܨ C ⚍ˈƛ A ⚍ˈᡞƛềϞܨՈഄᮍᩴЎ B ⚍DŽƛềܨՈẋ࣏ህᰃ˖ ৠϔ↉ᯊⒸܨˈݙҢ C Ვࠄ BˈƛҢ A Ვࠄ Bˈƛ↨ܨᲕњϔ↉ ACDŽɴ Ꮖ کAC=10 ଷˈᡅ∖ AB ѢᇥଷDŽ᠔ҹাᡅک AB Ϣ AC Ոס᭄݇ி ້ AB Ϣ CB Ոס᭄݇ிˈ⒲LेৃᢧއDŽ Ꮖඓک ĀܨᲕ 9 ℹՈᲳ࣏ƛা◄Ვ 5 ℹˈ ԚƛᲕ 2 ℹՈᯊⒸ ˈ ैܨᲕњ 3 ℹā ˈ ĀƛᲕ 2 ℹՈᯊⒸˈैܨᲕ 3 ℹāৃҹḰ࣪៤ĀƛᲕ 6 ℹՈᯊⒸˈैܨᲕ 9 ℹā ˈ ЎܨՈ 9 ℹּᔧѢƛՈ 5 ℹˈ᠔ҹৠḋՈᯊⒸₐˈ῁ᣝƛՈℹᄤਜ਼ˈƛᲕ 6 ℹˈܨᲕ 5 ℹDŽᤶহ᪡᪸ˈৠḋϔ↉ᯊⒸₐˈᡞƛᲕՈᲳ࣏ᑇഛߚ៤ 6 ӑˈ ߭ܨ࿁Ვẝḋ 5 ӑˈϸּ້Ꮒ 1 ӑˈẝ 1 ӑ߮དህᰃ 10 ଷˈ᠔ҹƛềϞܨᯊˈ ݅Ვњ 10h6=60˄ଷ˅ DŽ
(2 2 −
1 cm ˈ ℷ ᮍ ᔶ ṽ ⑃ Ў 2cm DŽ ⓸ ᕅ ᾬ ߚ Ո ☦ ࢳ ᰃ 2
π
4
× 4) ÷ 2 = 0.43(cm 2 )
6ǃọ A
.H
ᦤ ߾ ˖ Ả DF ˈ ḍ L ᛣ ᕫ ˖
UA
5ǃọ D ᦤ߾˖ ĀདāՈᮍ⊩᳝ϸᚙ˖މ ˄1˅1ˈ2 োੵՈ⍩࣭ᙄ᳝ 1 ᡞ 1ˈ2 োੵЁˈϔੵញՈᰃ ̚ োੵՈ⍩࣭DŽ ĀདāՈᮍ⊩᳝ hhh˄h˅ ˄˅ ˄˅ˈ োՈ⍩࣭῁ϡ ˈ োੵЁDŽ ĀདāՈᮍ⊩᳝ h˄˅ ˄˅ ᠔ҹˈ ĀདāՈᮍ⊩᳝݅ ˄˅
S ∆ACD =
W W
Ѡǃ฿ाL ฿ाL
1 1 1 5964 1988 1491
ǃᢧ˖
1 1 1 1 1 1 ᦤ߾˖Ў ˈѢᰃˈ ˈᬙাᡅ Q পỆᔧՈؐˈ n n − 1 n(n + 1) n(n + 1) n + 1 n
W
1 S ABCD ˈ᠔ҹ S ABCD =100 ᑇᮍ६ଷˈAB=10 ६ଷDŽ 2
BE
S ∆ACD = S ∆ACF
4ǃọ C ᦤ߾˖ϵLৃ˖ک᪙Lᘏ᭄ᰃί4ˈ5ΰ=20˄ඓɀ᪅া࿁ᰃ 20 L˅ ˈ϶ਘ⏝˖20 1 1 h =5 ˄L˅ ˈ ϶Э῁ਘ⏝˖ 20h =4 ˄L˅ ˈ ϶ЭႷᇥϔҎਘ⏝ՈL᳝݅˖ 5+7-4=8 4 5 ˄L˅ ˈ᠔ҹˈϸҎႷᇥਘᇍՈL᳝˖20-8=12˄L˅ DŽ
ϔǃọᢽL ǃọ % ᦤ߾˖Ղԡߎɴ ˈकԡߎɴ ˈϾԡߎɴ ˈ݅ ǃọ ' ᦤ߾˖h ʌԡ᭄ᄫሑₓˈϸϾЬ᭄ПᏂሑₓᇣDŽ 3ǃọ C ᦤ߾˖ᇣՈञᕘᰃ
BE
IS AI
B
8ǃᢧ˖ϭ ᦤ߾˖؛᪂϶8⌟⏝᪳ˈὧМϕг8⌟⏝᪳ˈϡ৪ড়Lᛣˈ ؛᪂Э8⌟⏝᪳ˈὧМЭᕫৰϔ᳔ৢˈ߭ϭǃϕϸҎЁᖙ᳝ϔϾ8⌟⏝᪳ˈϡ ৪ড়Lᛣˈ ؛᪂ϕ8⌟⏝᪳ˈЎ݊ҪϝҎ῁8⌟ϡӮᕫ᳔ৢˈгϡ৪ড়Lᛣˈ ℸϭ8⌟⏝᪳DŽ
.C
N
ህৃҹᡒߎ⒵ᱷᓣՈಯԡ᭄ՈؐDŽᡞ ߚᢧᯬ᭄˖ hhh 1 1 1 1 DŽ᳔ඌᕫ hὧМᓣϸṽৠᯊЬҹ ᕫ ˈপߎ Q ᕫ 12 4 3 497 1 1 1 1 1 1 ˈᬙ ࠄ DŽ 12 × 497 4 × 497 3 × 497 5964 1988 1491
IS AI
Байду номын сангаас
=50 ᑇ ᮍ ६ ଷ ˈ Ў
.C
N
9ǃᢧ˖60 ଷ
A
ᦤ߾˖བ˖
C
W W
W
.H
10ǃᢧ˖ ᦤ߾˖ЎЁඃẢ៤ՈಯṽᔶՈ☦ࢳѢ⓸ᕅᑇᜐಯṽᔶՈ☦ࢳϢᅗ਼ೈ Ͼᑇᜐಯṽᔶ☦ࢳᘏՈϔञՈˈ᠔ҹ⓸ᕅᾬߚᑇᜐಯṽᔶ☦ࢳՈ☦ࢳ h DŽ
UA
ᓔྟᯊܨ C ⚍ˈƛ A ⚍ˈᡞƛềϞܨՈഄᮍᩴЎ B ⚍DŽƛềܨՈẋ࣏ህᰃ˖ ৠϔ↉ᯊⒸܨˈݙҢ C Ვࠄ BˈƛҢ A Ვࠄ Bˈƛ↨ܨᲕњϔ↉ ACDŽɴ Ꮖ کAC=10 ଷˈᡅ∖ AB ѢᇥଷDŽ᠔ҹাᡅک AB Ϣ AC Ոס᭄݇ி ້ AB Ϣ CB Ոס᭄݇ிˈ⒲LेৃᢧއDŽ Ꮖඓک ĀܨᲕ 9 ℹՈᲳ࣏ƛা◄Ვ 5 ℹˈ ԚƛᲕ 2 ℹՈᯊⒸ ˈ ैܨᲕњ 3 ℹā ˈ ĀƛᲕ 2 ℹՈᯊⒸˈैܨᲕ 3 ℹāৃҹḰ࣪៤ĀƛᲕ 6 ℹՈᯊⒸˈैܨᲕ 9 ℹā ˈ ЎܨՈ 9 ℹּᔧѢƛՈ 5 ℹˈ᠔ҹৠḋՈᯊⒸₐˈ῁ᣝƛՈℹᄤਜ਼ˈƛᲕ 6 ℹˈܨᲕ 5 ℹDŽᤶহ᪡᪸ˈৠḋϔ↉ᯊⒸₐˈᡞƛᲕՈᲳ࣏ᑇഛߚ៤ 6 ӑˈ ߭ܨ࿁Ვẝḋ 5 ӑˈϸּ້Ꮒ 1 ӑˈẝ 1 ӑ߮དህᰃ 10 ଷˈ᠔ҹƛềϞܨᯊˈ ݅Ვњ 10h6=60˄ଷ˅ DŽ
(2 2 −
1 cm ˈ ℷ ᮍ ᔶ ṽ ⑃ Ў 2cm DŽ ⓸ ᕅ ᾬ ߚ Ո ☦ ࢳ ᰃ 2
π
4
× 4) ÷ 2 = 0.43(cm 2 )
6ǃọ A
.H
ᦤ ߾ ˖ Ả DF ˈ ḍ L ᛣ ᕫ ˖
UA
5ǃọ D ᦤ߾˖ ĀདāՈᮍ⊩᳝ϸᚙ˖މ ˄1˅1ˈ2 োੵՈ⍩࣭ᙄ᳝ 1 ᡞ 1ˈ2 োੵЁˈϔੵញՈᰃ ̚ োੵՈ⍩࣭DŽ ĀདāՈᮍ⊩᳝ hhh˄h˅ ˄˅ ˄˅ˈ োՈ⍩࣭῁ϡ ˈ োੵЁDŽ ĀདāՈᮍ⊩᳝ h˄˅ ˄˅ ᠔ҹˈ ĀདāՈᮍ⊩᳝݅ ˄˅
S ∆ACD =
W W
Ѡǃ฿ाL ฿ाL
1 1 1 5964 1988 1491
ǃᢧ˖
1 1 1 1 1 1 ᦤ߾˖Ў ˈѢᰃˈ ˈᬙাᡅ Q পỆᔧՈؐˈ n n − 1 n(n + 1) n(n + 1) n + 1 n
W
1 S ABCD ˈ᠔ҹ S ABCD =100 ᑇᮍ६ଷˈAB=10 ६ଷDŽ 2
BE
S ∆ACD = S ∆ACF
4ǃọ C ᦤ߾˖ϵLৃ˖ک᪙Lᘏ᭄ᰃί4ˈ5ΰ=20˄ඓɀ᪅া࿁ᰃ 20 L˅ ˈ϶ਘ⏝˖20 1 1 h =5 ˄L˅ ˈ ϶Э῁ਘ⏝˖ 20h =4 ˄L˅ ˈ ϶ЭႷᇥϔҎਘ⏝ՈL᳝݅˖ 5+7-4=8 4 5 ˄L˅ ˈ᠔ҹˈϸҎႷᇥਘᇍՈL᳝˖20-8=12˄L˅ DŽ