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英語 高校生

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her work, but last week she was so 130. Nancy almost never asks for help overwhelmed that she did. (A) with (B) for (C) at (D) to 131. Instead of buying a car, you might want to try leasing one by …… month. (A) the (B) a (C) its (D) this 133. Resumes with cover letters may be submitted by fax, e-mail or conventional mail, but initial inquiries may not be made in ……… or by telephone. (C) self (A) oneself (B) person (D) them 107. The thief came out the front door of the liquor store and walked off direction. (A) at that (B) on (C) in (D) to 109. No one is allowed to enter the secret facility without presenting two of photographic identification. (A) pieces (B) acts (C) marks (D) parts 125. A lack of long-term planning contributed- into trouble sooner or later. (A) to a sense that the company would run (B) with (C) for (D) at 127. remain several important issues to resolve, but the negotiations appear to be moving toward a successful conclusion. (A) It (B) She (C) They (D) There 130. Sometimes negotiations break down for unexpected reasons, even when the two sides have respect for one ………… (A) other (B) the other (C) others (D) another 134. In the early 1990s, the Japanese economy struggled under a heavy bad debt burden, …with the additional problem of slow economic growth. (A) along (B) in (C) on (D) out 135.… thorough market research, it is difficult for a manufacturer to determine how well-known its brand name is, and how people will react to different style changes. (A) Unless (B) Without (C) Other than (D) Outside of 101. The train won't the next town for another hour or so. (B) come (A) arrive (C) get (D) reach

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英語 高校生

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103. Ioften meet with my former colleagues to discuss business … lunch or cocktails. (A) of (B) on (C) over (D) in 114. After last week's stock market crash, investors have … desire to take big risks. (A) any (B) little (C) small (D) few 124. Carlson's speech was full of excuses, so critics said it was nothing but an attempt … damage control. (A) with (B) at (C) for (D) to 129. Members of Congress have been accused of collecting payoffs manufacturers in return for lucrative contracts. (A) up arms (B) from (C) to (D) of 101. He said that … of the televisions in this store has a liquid-crystal display. (A) most (B) some (C) none (D) all 103. The test must be conducted a time limit of two hours. (B) when (A) until (C) for (D) within 106. We worked all night Friday and most of Saturday, but all of our effort turned to be useless. (A) over (B) in (C) off (D) out 112. The organization's steering committee consists and two outside consultants. (A) of four elected club members (B) by (C) at (D) on 118.Our company chairman has suggested that we all set … 20 minutes each day for (A) out quiet relaxation, to reduce stress and boost productivity. (B) in (D) off (C) aside 126. Ms. Jackson was hired … the director of the new corporate e-commerce division, which is expected to grow rapidly in importance over the few years. (A) to (B) from (C) of (D) as - to our successful entry into the securities brokerage business, we were a small regional bank with few prospects. (A) Until 129. (B) Ahead (C) Before (D) Prior

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英語 高校生

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103. Ioften meet with my former colleagues to discuss business … lunch or cocktails. (A) of (D) in (B) on (C) over 114. After last week's stock market crash, investors have …… desire to take big risks. (A) any (B) little (C) small (D) few 124. Carlson's speech was full of excuses, so critics said it was nothing but an attempt … damage control. (A) with (B) at (C) for (D) to 129. Members of Congress have been accused of collecting payoffs manufacturers in return for lucrative contracts. (A) up arms (B) from (C) to (D) of 101. He said that …of the televisions in this store has a liquid-crystal display. (A) most (B) some (C) none (D) all 103. The test must be conducted a time limit of two hours. (B) when (A) until (C) for (D) within 106. We worked all night Friday and most of Saturday, but all of our effort turned to be useless. (A) over (B) in (C) off (D) out 112. The organization's steering committee consists four elected club members and two outside consultants. (A) of (B) by (C) at (D) on 118.Our company chairman has suggested that we all set - 20 minutes each day for quiet relaxation, to reduce stress and boost productivity. (A) out (B) in (C) aside (D) off 126. Ms. Jackson was hired … the director of the new corporate e-commerce division, which is expected to grow rapidly in importance over the few years. (A) to (B) from (C) of (D) as 129. to our successful entry into the securities brokerage business, we were a small regional bank with few prospects. (A) Until (B) Ahead (C) Before (D) Prior

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英語 高校生

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103. Ioften meet with my former colleagues to discuss business -- lunch or cocktails. (A) of (B) on (C) over (D) in 114. After last week's stock market crash, investors have desire to take big risks. (A) any (B) little (C) small (D) few 124. Carlson's speech was full of excuses, so critics said it was nothing but an attempt … damage control. (A) with (B) at (C) for (D) to 129. Members of Congress have been accused of collecting payoffs manufacturers in return for lucrative contracts. (A) up arms (B) from (C) to (D) of 101. He said that … of the televisions in this store has a liquid-crystal display. (A) most (B) some (C) none (D) all 103. The test must be conducted a time limit of two hours. (A) until (B) when (C) for (D) within 106. We worked all night Friday and most of Saturday, but all of our effort turned to be useless. (A) over (B) in (C) off (D) out 112. The organization's steering committee consists - four elected club members and two outside consultants. (A) of (B) by (C) at (D) on 118.Our company chairman has suggested that we all set 20 minutes each day for quiet relaxation, to reduce stress and boost productivity. (A) out (B) in (C) aside (D) off 126. Ms. Jackson was hired -- the director of the new corporate e-commerce division, which is expected to grow rapidly in importance over the few years. (A) to (B) from (C) of (D) as 129. … to our successful entry into the securities brokerage business, we were a small regional bank with few prospects. (A) Until (B) Ahead (C) Before (D) Prior

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数学 高校生

赤色の下線を引いたところなのですが、 なぜ絶対値がついているのでしょうか?必要ありますか? (5-k)/9が正にも負にもなり得るのだとしたら、おかしくないですか? ベクトルBQ= (5-k)/9 × ベクトルBC と書いてありそして左のページの右下により ベク... 続きを読む

友がすべての実数値をとって変化するとき, 点Pの描く図形を図示 考え方(1) 点Aを基点として, AB=5, AC=ē, AP=D とおいて与式に代入し, トル 611 例題 349 ベクトルと軌跡 ベクトルと図形 3 平面上にAABCがあり, 実数をに対し, 3PA+4PB+5PC=kBC を満たして動く点Pがある。このとき,次の問いに答えよ、 であるから, Si: S2=1:2 のとき, S.-s AABQの面積を S。とすると, AP:AQ=3:4 ② より, S-S-- せよ。 eイAPAB, APBCの面積をそれぞれ, Si, Sa とするとき S;: S:=1:2 となるようなkの値を求めよ。 41 38 BQ:BC=1:6 ……3 -s 1 したがって、 次に,①を変形すると, AP=6 (4+k)5+(5-k) AABC:AABQ 第9章 =BC:BQ カ=●+kの形に変形する. (pは, を通り, (2) AABC の面積をSとし, まずは Si, S2 をそれぞれSで表す。 に平行な直線) 12 であり,2より, (1) 点Aを基点とし、, AB=6, AC=C, AP=6 とおく、 3PA+4PB+5PC=kBC より, 解答 AQ=-AF-4.(4+k)5+(5-k)こ 3 12 3(-)+4(5-)+5(G-)=k(c-あ) 12万=46+5c-k(C-あ) (4+k)6+(5-k)と 9 古た, 5一た_9._1 ー=1 あ- 45+5c 。 12 たを含まない部分 (動かない)と,kを合 む部分(動く)に分け BQ=AG-AB (4+k)6+(5-k)c. よって, より、点Qは直線BC 上の点である。 点PがAABCの内部 12 3.45+5c 4 線分BC を5:4 に内分する点を D, 線分 AD を 9 kに-) -5に-あ-号BC 三 る。 5-k の場合と外部の場合が 9 12 9 9 ある。 3 12 4 15-k:1 3:1に内分する点をEとすると, だから, BQ:BC= 9 A カーAD-BC-AE-C |5-k 3より, 1 12 12 よって,点Pは点Eを通り辺BCに平行な直線上 にある。 その直線と辺 AB, ACの交点をF, Gとすると, F/ IP G 3 3 5-k=± 2 E P BIQ C 13 よって、 カ=子 AF:FB=AG:GC B -4 C 2' 2 =AE:ED =3:1 であるから,点Pの描く図形 は,右の図の直線FGである。 P/F F P C kがすべての実数値を とるので,直線FGと なる。 Q1B 6 1 注》頂点Bを基点とし, BA=a, BC=6, BP=D とすると, 3PA+4PB+5PC=kBC は, 3(G-)+4(-)+5(c-)=kc となる。 (2) 直線 AP と直線 BCの交点をQとすると, B FG/BC より, AQ:PQ=AB: FB=4:1 したがって, AABCの面積をSとすると, 点Pが どこにあっても,APBC の面積 S2 は一定で DA この式を整理すると, カ=a+ 12 S-5 よって,点Pは,辺 ABを3:1に内分する点Fを通り直線 BC に平行な直線上を動く。 B 13 AABC があり,実数kに対して, 点Pが PA+2PB+3PC=D&AB を満たすも のとする。次の問いに答えよ。 (1) kが実数全体を動くとき, 点Pの軌跡を求めよ。 (2) 点PがAABCの内部にあるようなんの値の範囲を求めよ。 P G 練習 349 OABU Q

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