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壹、計算:(每題0分。共0.0分): 1. 如圖,L//M,若<1=(2x+5),<2=(4x-5),則x 所代表的數為多少? L 6 B 10 C M 2.如圖,∠1=127°、2=55°、3=53°,則: Li L2 L3 必 -LA (1)L與L2是否互相平行?為什麼? (2)L3與L4是否互相平行?為什麼? (3)/4的度數為多少? 125° 3. 如圖,AB // CD,且同側內角∠BGH與∠DHG 的角平 分線相交於1點,則∠GIH的度數為多少? G B H ·D 4. 如圖,□ABCD中,E 為AB的中點,F為DC的中點。則: E B 7. 有一個梯形兩腰中點的連線段長與高等長,且面積等 於49cm²,則此梯形兩底之和為多少? 8. 如下圖(一),有兩張相同大小,不同顏色的的長方形紙 張,小翊先用圖釘釘在這兩張長方形紙張的對角線交 點O處,使兩長方形紙張疊合在一起,如下圖(二),接 著任意轉動其中一張長方形紙張,他發現轉動時,兩 長方形紙張重疊的形狀與面積也會跟著變化。試回答 下列問題: 圖(二) B 圖(二) 圖(三) (1)兩紙張的重疊區域可能是什麼圖形?寫出所有可 能的答案。 長方形 (2)如上圖(三),已知長方形紙張的長為12公分、寬為 3公分,若兩紙張重疊區域的面積為12平方公分,則 BC 的長度為多少公分? 6 9. 在新學期的開始,八年五班被衛生組分配到一塊平行 四邊形的掃地區域,班長主張讓同學們學習兩性團隊 合作,於是著手想要將這塊平行四邊形的掃地區域分 割成大小相等的面積,試回答下列問題: (1)小熊提出如下圖分法,你覺得此分法公平嗎?請完 整說明原因。 「公平、平形四邊形的一半 D F C (1)說明四邊形AFCE也是平行四邊形。 A D 女生掃區 男生掃區 B (2) AFCE 的面積是ABCD面積的多少倍? 5. 如圖,ABCD中,O 為對角線交點,P、Q、R、S分別 為OA、OB、OC、OD的中點,試說明四邊形 PQRS也 是平行四邊形。 D (2) 小妍提出如下圖分法,你覺得此分法公平嗎?請完 整說明原因。 D 女生 掃區 E 女生掃區 男生掃區 無法確定 是否剛好 R A B B A 6. 如圖,長方形ABCD中,AB=6cm,BC=10cm,求兩 對角線的和為多少? (3) 小翊提出如下圖分法,你覺得此分法公平嗎?請完 整說明原因。 中點剛好 F 女生掃區 1 A G 7 男生掃區 B

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二·填充題(每格12分,共60分) (X+50)2) 4(2x-30) 1. 在四邊形ABCD中,∠A=50°,∠B=(2x-30),∠C=(x-30)°,∠D=(x+50 0 9 則:(1)x= (2)四邊形ABCD 是否為平行四邊形? 正 ㄧ。 2. 在四邊形 PQRS中, PQ=2x-3, QR=3x-3, RS=x+2, PS=2x+2。1 若四邊形 PQRS的周長為38,則: (1)x= (2)四邊形 PQRS 是否為平行四邊形? 是

求解 謝謝🙏

) 6. 平行四邊形ABCD中,若四內角的角平分線相交於P、Q、R、S四點,則此四點所圍成 的四邊形 PORS是下列哪一種圖形? 7 (A) 長方形 (C) 菱形 (B) 箏形 (D)等腰梯形

想問第九跟第十二題

7. 菱形ABCD中 ,AB=(3x-5)公分,BC=(2x+1)公分,BD=(5x+3)公分,則菱形ABCD 的周長為 公分。 x=6 570 2(13+13)=52 8. 若箏形的兩對角線各為(x-8)公分與(x+3)公分,面積為30平方公分,則x= (x-8)(x+3)= 30 X=12-7/27/18) =0 9. 如圖,平行四邊形ABCD中,E、F、G分別在AB、BC、AD上,部分區塊面 A G D 積如圖所示,則x= @5. 53 12 E 67 12. 如圖,梯形ABCD中,AD II BC ' ·則梯形ABCD的面積為 (12) 10. 如圖,L//L,則∠BCD-∠ABC= 度。 45°-30°=15 · LBCD = 45° +20 LABC - 30°+10 11. 如圖,已知//L,則21+2+3+4= (11 0°x3=540" 180-41 + 180-22 + 180°-23 +180"-24 =540' B 180=41+12+7+4 % AB=6BC = 15 CD =8 AD =5 B' C F A 30% D 45 1450 L2 Created by trial version of DocuFreeze N Li L2 5+15 = 10 2 5 6 8 15 13. 如圖、E、F在BC上,DE II AB DF AC FB = FD EC = ED • LABC=

求解🙏

·老師講解 8 平行線 如右圖,ABCDE 是正 A P Q Bi 〈4x0 五邊形,PQ // RS,其 E 中∠QAE=4x°,<RDCR C S D =x,求∠BAP=? 【解

面積

1.如右圖,長方形 PQRS 面積為240平方單位,A為長方形 MQRN 中任 一點,若PM=9,MQ=6,且△PAS面積為a平方單位,則a的範圍 #23 a≤/20 13 15xx=240 16x9÷2 M

求這五題解，謝謝

∠AOB=m° 檢核 B四等分, 則 A 度數 E A B ∠ACB: 2 m 104° B26 21 36 11268 C R =91245 B D ) 7. 將一半徑為6的圓形紙片,沿著兩條半徑剪開形成兩個扇形。若其中一個 扇形的弧長為5元,則另一個扇形的圓心角度數是多少? (A) 30 (B) 60(C) 105 (D) 210 ) 8. 如右圖,圓內接長方形 PQRS,若OP=4公分,∠POQ= 120°,則長方形 PQRS之面積為多少平方公分? (A)16/3 (B) 16/2 (C)18/3 (D) 18/2 ) 9. 右圖是半徑為5的三個圓弧所圍成的區域,其中B 與AD 「為四分之一圓弧,BCD為半圖,則此那域的面積為多少? (A)25 (B) 25 元 (C) 50(D)50+5元 )10.△ABC、△ACD、△ADE 的頂點都在同一個上,其中各 點位置如右圖所示。若C花,且∠CAD=∠DAE= 30°,∠BAC=29°,則的度數為何? (A) 56 (B) 58 (C) 60 D 62 B 國教會考 R A 第 8 天 B E 02 會考補考) ) 11. 如右圖,4B 為圓O的一弦,且C點在B上。若C=6, BC=2,AB 的弦心距為3,則OC的長度為何?聯會考 (A)3 (B)4 D A (C)√11 D√13 A A 的搦編將紙 三門路一圖形紙片、A、B、C為圖周上三 B ww SUN 832 AUG 33 7 8 34 14 15 16 35 21 22 23 36 28 29 30 31 SEP 二十八 WK SUN MOK TUE 37 4 5 6. 38 11 12 39 19 40 25 2 10 OCT 二十五 WK SUN 416 42 L

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38.~40.) Sgaibro sift moit wor TOM own hair There are going to be three service platforms hitting the market in Taiwan on the first week of December. Platforms Reservoir vole shipping anet What's good inside? How ads ar eneration Foods: cost meat, vegetables, seafood, $50 GoodEat milk, and fruit Health: Sudo di mo Ya $50 inuocant If you get COVID-19 or other eqlema health problems, we can help send the medicine. What can't you miss on the opening weekend? Free shipping when you spend more than $500. 20% off for all the foods. Free shipping during 14:00-16:00. Hotels & Travel: Safe & Healthy If you book a hotel or travel ticket, you can get an online ticket without paying for $25 30% off for Hotels & Travel service. shipping. Takeout service for many 20% off for the food with $80 5-star restaurants. a credit card. High-End platform 平臺 shipping 運輸 takeout 外賣 credit card信用卡

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(41~43) At some stores, people get stickers or stamps on a card when they spend money there. After they collect enough stickers or stamps, they can get gifts or buy things at low prices. Yesterday after I bought coffee; the clerk stamped on my cellphone. How cool it was! My first time! It looks like a stamp we used in the past, but there are many small dots at the bottom. You touch the screen of your cellphone to tell it what to do, and this is also the way smart stamps work. When people use a smart stamp, they hold the top part of the smart stamp. The small electrical charge from people's hands goes through it to the dots at the bottom. Then, the smart stamp tells your cellphone messages with them. The dots of different stores are in different patterns. no alla lil est sill lo busolos With smart stamps, stores don't have to make stickers or cards, and people don't have to keep those things. Stores can also collect some useful information. For example, how many people come and buy things or what is popular? Are there any other good things about smart stamps? Are there things people need to be careful with when they use them? We can know more after smart stamps become more common. sticker 貼紙 electrical charge 電荷 message訊息 pattern 圖案 ( ) 41 Which picture best shows how electrical charge moves when someone uses a smart stamp? (A) (B) (C) (D) MA ( ) 42 "Are there any other good things... become more common." What did the writer want to say? (A) Not everybody needs to use smart stamps. (B) Many people worry a lot when they use smart stamps. (C) Let's learn more after more people experience using smart stamps. (D) Stamps are not common, so people may think about giving them up. ( ) 43. In the reading, the writer mentioned: a. Why people use smart stamps. b. One new thing in the writer's life. c. How smart stamps work. In what order did the writer mention them? (A) abc. (C) cba. 『著作權,翻印必究 9-15 (B) ba→c. (D) b→ c→a. 三美 mention提及

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2. Al f w a plane for the first time yesterday. He finally made his dream come true. 3. A: Let's meet at 7 p.m. Is it c B: Sure, I'm free tonight. 4. The church is a t for you? s from my house. It only takes me five minutes to walk there. 5. Joe has at d baseball cards. He knows a lot of baseball players.